How to express the number 3 .20×10 -2 in decimal notation has to be selected from the given options. 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. In this method the numbers are expressed in form of “ A×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. This scientific notation can be readily converted into decimal notation by simply counting the exponent numbers and the decimal point moved corresponding to the exponent number.

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Chapter 2.6, Problem 3QQ

Interpretation Introduction

Interpretation:

How to express the number 3.20×10-2 in decimal notation has to be selected from the given options.

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. In this method the numbers are expressed in form of “A×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. This scientific notation can be readily converted into decimal notation by simply counting the exponent numbers and the decimal point moved corresponding to the exponent number.

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Scientific Notation This is a way to write large and small numbers in a format using a digit term (1> digit term<10) followed by a power of 10 raised to a coefficient. The power of 10 may be positive or negative. 5.11 x 106 2.33 digit term 4.23 x 10-⁹ exponential term x 10³ If the coefficient is positive: the digit term is multiplied by 10 the number of times determined by the coefficient to arrive a the real number. 2.33 x 10³ 1.34 x 10² 3.23 x 10-11 If the coefficient is negative: the digit term is divided by 10 the number of times determined by the coefficient. 2.33 x 10-5 Write the numbers represented by the the following: Scientific Notation Number 6.673 x 1023 exponential term 2.33 x 10³ digit term 2.33 x10 x10 x10 = 2330 (or 10³ = 1000) 2.33 x 10-5 2.33/10/10/10/10/10 =0.00000233 (or 10-5=1/100000)

using significan figgures

The two last one are incorrect