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9th Edition

Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781337399425

Chapter 2, Problem 47QAP

Textbook Problem

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Evaluate each of the following mathematical expressions, and express the answer to the correct number of significant digits.

- 44.2124 + 0.81 + 7.335
- 9.7789 t 3.3315 − 2.21
- 0.8891 + 0.225 + 4.14
- (7.223 + 9.14 + 3.7795)/3.1

Interpretation Introduction

**(a)**

**Interpretation:**

The following mathematical expression should be evaluated and the answer should be expressed in correct significant digits.

**Concept Introduction:**

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

- If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.
- If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Performing the calculation,

The final answer will have decimal up to two decimal places (minimum number of digit after decimal in the calcu

Interpretation Introduction

**(b)**

**Interpretation:**

The following mathematical expression should be evaluated and the answer should be expressed in correct significant digits.

**Concept Introduction:**

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

- If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.
- If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

**(c)**

**Interpretation:**

The following mathematical expression should be evaluated and the answer should be expressed in correct significant digits.

**Concept Introduction:**

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

- If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.
- If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

**(d)**

**Interpretation:**

**Concept Introduction:**

Decimal place is the position of digit right to the decimal point.

Rules for rounding off numbers are as follows:

Introductory Chemistry: A Foundation

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