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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

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 ×102)3

(b) 2.35 × 10 3

(c) (2.35 ×10–3)1/3

(d) ( 1.68 ) [ 23.56 2.3 1.248 × 10 3 ]

(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 6.25×102, can be written as 625 has no decimal numbers with no zeroes and has only the significant numbers.  So, the significant number is 3.

The multiplication of (625)3:

  × 625 significantfigure3625   <

(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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