CHEMISTRY-TEXT
CHEMISTRY-TEXT
8th Edition
ISBN: 9780134856230
Author: Robinson
Publisher: PEARSON
Question
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Chapter 1, Problem 1.84SP
Interpretation Introduction

(a)

Interpretation:

Whether the statement “ 1ft is equal to 12in ” uses an exact number or not should be stated.

Concept introduction:

An exact number is a completely certain number, that is, which can be counted. For example, 1 kilometer has exactly 1000 meter or 1 dozen has 12 number of items, which is also an exact number.

Exact numbers have infinite significant figures and zero error or uncertainty. Example 12 has infinite significant figures but 12.00 has 4 significant figures. To exactly determine the uncertainty in the final answer of measurement, significant figures are calculated.

The rules for counting significant figures will be as follows:

  • Numbers that are non-zero are significant figures.
  • The zeros preceding numbers that are non-zero are non-significant as they only define the place of decimal.
  • The zeros in between numbers that are non-zero are also significant.
  • The zeros after numbers that are non-zero are significant only if the decimal is present in the number.

Interpretation Introduction

(b)

Interpretation:

Whether the statement “ 1cal is equal to 4.184J ” uses an exact number or not should be stated.

Concept introduction:

An exact number is a completely certain number, that is, which can be counted. For example, 1 kilometer has exactly 1000 meter or 1 dozen has 12 number of items, which is also an exact number.

Exact numbers have infinite significant figures and zero error or uncertainty. Example 12 has infinite significant figures but 12.00 has 4 significant figures. To exactly determine the uncertainty in the final answer of measurement, significant figures are calculated.

The rules for counting significant figures will be as follows:

  • Numbers that are non-zero are significant figures.
  • The zeros preceding numbers that are non-zero are non-significant as they only define the place of decimal.
  • The zeros in between numbers that are non-zero are also significant.
  • The zeros after numbers that are non-zero are significant only if the decimal is present in the number.

Interpretation Introduction

(c)

Interpretation:

Whether the statement that “Mount Everest has 29035ft ” uses an exact number or not should be stated.

Concept introduction:

An exact number is a completely certain number, that is, which can be counted. For example, 1 kilometer has exactly 1000 meter or 1 dozen has 12 number of items, which is also an exact number.

Exact numbers have infinite significant figures and zero error or uncertainty. Example 12 has infinite significant figures but 12.00 has 4 significant figures. To exactly determine the uncertainty in the final answer of measurement, significant figures are calculated.

The rules for counting significant figures will be as follows:

  • Numbers that are non-zero are significant figures.
  • The zeros preceding numbers that are non-zero are non-significant as they only define the place of decimal.
  • The zeros in between numbers that are non-zero are also significant.
  • The zeros after numbers that are non-zero are significant only if the decimal is present in the number.

d)

Interpretation Introduction

Interpretation:

Whether the statement that “the world record for 1mile run is 3min,43.13sec ” uses an exact number or not should be stated.

Concept introduction:

An exact number is a completely certain number, that is, which can be counted. For example, 1 kilometer has exactly 1000 meter or 1 dozen has 12 number of items, which is also an exact number.

Exact numbers have infinite significant figures and zero error or uncertainty. Example 12 has infinite significant figures but 12.00 has 4 significant figures. To exactly determine the uncertainty in the final answer of measurement, significant figures are calculated.

The rules for counting significant figures will be as follows:

  • Numbers that are non-zero are significant figures.
  • The zeros preceding numbers that are non-zero are non-significant as they only define the place of decimal.
  • The zeros in between numbers that are non-zero are also significant.
  • The zeros after numbers that are non-zero are significant only if the decimal is present in the number.

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Students have asked these similar questions
Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792X10⁸m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2003, the United States had 50 states.
Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792×108 m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2010, the United States had 50 states.
Which of the following include exact numbers? (a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792x108 m/s. (b) The density of mercury at 25oC is 13.53 g/mL. (c) There are 3600 s in 1 h. (d) In 2012, the United States had 50 states.

Chapter 1 Solutions

CHEMISTRY-TEXT

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