Chapter 1, Problem 26RPS

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10th Edition

John C. Kotz + 3 others

ISBN: 9781337399074

Textbook Problem

Carry out the following operations. Provide the answer with the correct number of significant figures.

(a) (6.25 ×10^{2})^{3}

(b)

(c) (2.35 ×10^{–3})^{1/3}

(d)

**(a)**

Interpretation Introduction

**Interpretation:** The correct number of significant figure has to be given..

**Concept introduction:**

**Significant of zeroes:**

- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.

**Rules used for significant figures in calculations:**

**Rule 1:** When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.

**Rule 2:** In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.

**Rule 3:** When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.

Explanation

In

The multiplication of

â€‚Â

**(b)**

Interpretation Introduction

**Interpretation:** The correct number of significant figure has to be given..

**Concept introduction:**

**Significant of zeroes:**

- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.

**Rules used for significant figures in calculations:**

**Rule 1:** When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.

**Rule 2:** In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.

**Rule 3:** When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.

**(c)**

Interpretation Introduction

**Interpretation:** The correct number of significant figure has to be given..

**Concept introduction:**

**Significant of zeroes:**

- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.

**Rules used for significant figures in calculations:**

**Rule 1:** When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.

**Rule 2:** In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.

**Rule 3:** When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.

**(d)**

Interpretation Introduction

**Interpretation:** The correct number of significant figure has to be given..

**Concept introduction:**

**Significant of zeroes:**

- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.

**Rules used for significant figures in calculations:**

**Rule 1:** When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.

**Rule 2:** In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.

**Rule 3:** When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.

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Ch-1 P-3PSCh-1 P-4PSCh-1 P-5PSCh-1 P-6PSCh-1 P-7PSCh-1 P-8PSCh-1 P-9PSCh-1 P-10PSCh-1 P-11PSCh-1 P-12PSCh-1 P-13PSCh-1 P-14PSCh-1 P-15PSCh-1 P-16PSCh-1 P-17PSCh-1 P-18PSCh-1 P-19PSCh-1 P-20PSCh-1 P-21PSCh-1 P-22PSCh-1 P-23PSCh-1 P-24PSCh-1 P-25GQCh-1 P-26GQCh-1 P-27GQCh-1 P-28GQCh-1 P-29GQCh-1 P-30GQCh-1 P-31GQCh-1 P-32GQCh-1 P-33GQCh-1 P-34GQCh-1 P-35GQCh-1 P-36GQCh-1 P-37GQCh-1 P-38GQCh-1 P-39GQCh-1 P-40GQCh-1 P-41GQCh-1 P-42GQCh-1 P-43GQCh-1 P-44GQCh-1 P-45GQCh-1 P-46GQCh-1 P-47GQCh-1 P-48GQCh-1 P-49GQCh-1 P-50GQCh-1 P-51GQCh-1 P-52GQCh-1 P-53GQCh-1 P-54GQCh-1 P-55GQCh-1 P-57GQCh-1 P-1RCYUCh-1 P-2RCYUCh-1 P-3RCYUCh-1 P-4RCYUCh-1 P-5RCYUCh-1 P-1.1RACh-1 P-1.2RACh-1 P-2.1RACh-1 P-2.2RACh-1 P-2.3RACh-1 P-1RPSCh-1 P-2RPSCh-1 P-3RPSCh-1 P-4RPSCh-1 P-5RPSCh-1 P-6RPSCh-1 P-7RPSCh-1 P-8RPSCh-1 P-9RPSCh-1 P-10RPSCh-1 P-11RPSCh-1 P-12RPSCh-1 P-13RPSCh-1 P-14RPSCh-1 P-15RPSCh-1 P-16RPSCh-1 P-17RPSCh-1 P-18RPSCh-1 P-19RPSCh-1 P-20RPSCh-1 P-21RPSCh-1 P-22RPSCh-1 P-23RPSCh-1 P-24RPSCh-1 P-25RPSCh-1 P-26RPSCh-1 P-27RPSCh-1 P-28RPSCh-1 P-29RPSCh-1 P-31RPSCh-1 P-32RPSCh-1 P-33RPSCh-1 P-34RPSCh-1 P-35RGQCh-1 P-36RGQCh-1 P-37RGQCh-1 P-38RGQCh-1 P-39RGQCh-1 P-40RGQCh-1 P-41RGQCh-1 P-42RGQCh-1 P-43RGQCh-1 P-44RGQCh-1 P-45RGQCh-1 P-46RGQCh-1 P-47RGQCh-1 P-48RGQCh-1 P-49RGQCh-1 P-50RGQCh-1 P-51RGQCh-1 P-52RGQCh-1 P-53RGQCh-1 P-54RGQCh-1 P-55RGQCh-1 P-56RGQCh-1 P-57RGQCh-1 P-58RGQCh-1 P-59RGQCh-1 P-60RGQCh-1 P-61RGQCh-1 P-62RGQCh-1 P-63RILCh-1 P-64RILCh-1 P-65RILCh-1 P-67RIL

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