   Chapter 1, Problem 26RPS

Chapter
Section
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.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Explain why somebut not allof an organism's genes are expressed.

Biology: The Unity and Diversity of Life (MindTap Course List)

Too little in the diet is associated with osteoporosis. a. vitamin B12 b. protein c. sodium d. niacin

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the definition of science?

An Introduction to Physical Science 