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General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
ISBN: 9781305580343

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Chapter
Section
BuyFindarrow_forward

General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
ISBN: 9781305580343
Textbook Problem

Give answers to the following arithmetic setups. Round to the correct number of significant figures.

  1. a 5.61 × 7.891 9.1
  2. b 8.91 − 6.435
  3. c 6.81 − 6.730
  4. d 38.91 × (6.81 − 6.730)

(a)

Interpretation Introduction

Interpretation:

To give answers to the following arithmetic setups and round the correct number of significant figures.

Concept Introduction:

Measurements that are of high precision are usually highly accurate and it is possible one to have a systematic error in a measurement also.  For this type of accuracy process the new method is used and it is called “significant figures”.

Explanation

The procedure of dropping non-significant digits in a calculation result and adjusting the last digit reported is called “rounding”.

If a digit is 5 or greater than 5, add 1 to the last digit to be retained and drop all digits farther to the right.

If it is less than 5, simply drop it and all digits farther to the right.

The correct number of significant figures is as follows,

The factor 9.1 has the two significant figures, so the answer is

5

(b)

Interpretation Introduction

Interpretation:

To give answers to the following arithmetic setups and round the correct number of significant figures.

Concept Introduction:

Measurements that are of high precision are usually highly accurate and it is possible one to have a systematic error in a measurement also.  For this type of accuracy process the new method is used and it is called “significant figures”.

(c)

Interpretation Introduction

Interpretation:

To give answers to the following arithmetic setups and round the correct number of significant figures.

Concept Introduction:

Measurements that are of high precision are usually highly accurate and it is possible one to have a systematic error in a measurement also.  For this type of accuracy process the new method is used and it is called “significant figures”.

(d)

Interpretation Introduction

Interpretation:

To give answers to the following arithmetic setups and round the correct number of significant figures.

Concept Introduction:

Measurements that are of high precision are usually highly accurate and it is possible one to have a systematic error in a measurement also.  For this type of accuracy process the new method is used and it is called “significant figures”.

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