The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given. Concept Introduction: In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “ A x 10 n , where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative. Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

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Answer 1

Question

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

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55. Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.) Rounded to Rounded to Rounded to 4 Significant 2 Significant 1 Significant Figures Number Figures Figure 1.45815 1.458 1.5 8.32466 84.57225 132.5512

1.-How many significant figures are in the following numbers? 0.70620 a. b. 5010 4548 C. d. 0.00045050 7.210 x 105 e. 2.-Round up the following numbers to the designated significant figures to 2 significant figure 32445.34 to 1 significant figure 85518 to 4 significant figures 526544 3.-Express each answer in scientific notation and with the proper number of significant figures a. 1,027611 +363.06 = b. 217 903 118.7 2-35.5 C. d. 28 x 47.3= e. (5.2 x 10) x (3.33 x 102) 4.-Convert the following numbers to scientific notation, use prefixes and use only 2 significant figures Example 52,000,000 g 52 X 10 g 52Mg 52 megagrams 0.0000003 g a. b 26198151 L 1546 m C. 5.-What does the slope of each line on the graph tell you? 6.-Which runner finish the race first red, blue or green? TIME (seconds) b) 4x+2-2(x+6) 7.-Solve for X in the following equations: a) 25 554x-4.245 8.-Classify each statement as a law, a theory, an experiment, a hypothesis, an observation Birds evolved from dinosaurs. 1. Hot…

56. Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.) Rounded to 4 Rounded to 2 Rounded to 1 Significant Figures Significant Figures Significant Figure Number 9 × 101 94.52118 94.52 95 105.4545 0.455981 0.009999991

Answer 2

Question

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

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Answer 3

Question

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

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Answer 4

Question

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

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Answer 5

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 6

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 7

Chapter 2, Problem 2.59EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.0123 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 375,000 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 10

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 11

(c)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 0.100 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 12

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 13

(d)

Interpretation Introduction

Interpretation:

The number of significant figure that has to be present when 68.75 is expressed in scientific notation has to be given.

Concept Introduction:

In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “A x 10n, where A is called the co-efficient, n is the whole number and 10 is called the exponential term. This way of expressing is much easier and error free. If the decimal number is 10 or greater than 10, then the exponent is positive and if the decimal number is less than 1, then the exponent is negative.

Significant figures are the digits that are present in a measurement which is known with certainty plus one digit that is estimated. Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. It depends on where the zero appears. Leading zeros in the front of any number are never significant. Zeros between the numbers are significant. Zeros appearing at the last (trailing zeros) are significant if a decimal point is there in the number. The last digit that produces uncertainty is called the estimated digit.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - Prob. 1QQ Ch. 2.1 - Preference by scientists for metric system unit...Ch. 2.2 - In which of the following pairings of metric...Ch. 2.2 - In which of the following sequences are the metric...Ch. 2.2 - Which of the following is a correct pairing of...Ch. 2.2 - Prob. 4QQ Ch. 2.2 - Prob. 5QQ Ch. 2.2 - Prob. 6QQ Ch. 2.2 - Prob. 7QQ Ch. 2.3 - Prob. 1QQ

Solution Summary: The author explains scientific notation, where a decimal number is expressed as product of two numbers between 1 and 10 (coefficient) and 10, which is raised to power.

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