   Chapter 1, Problem 24RPS

Chapter
Section
Textbook Problem

Express the following numbers in fixed notation (e.g., 1.23 × 102 = 123), and give the number of significant figures in each.(a) 1.623 × 103(b) 2.57 ×10‒4(c) 6.32 × 10‒2(d) 3.404 × 103

(a)

Interpretation Introduction

Interpretation: The fixed notation and correct number of significant figure has to be expressed.

Concept introduction:

Scientific notation expression: A number is expressed as the product of two numbers:N×10n,where N is the digit term, 10n is the exponential term.

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.
Explanation

The fixed notation for 1.623×103 can be written

(b)

Interpretation Introduction

Interpretation: The fixed notation and correct number of significant figure has to be expressed.

Concept introduction:

Scientific notation expression: A number is expressed as the product of two numbers:N×10n,where N is the digit term, 10n is the exponential term.

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.

(c)

Interpretation Introduction

Interpretation: The fixed notation and correct number of significant figure has to be expressed.

Concept introduction:

Scientific notation expression: A number is expressed as the product of two numbers:N×10n,where N is the digit term, 10n is the exponential term.

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.

(d)

Interpretation Introduction

Interpretation: The fixed notation and correct number of significant figure has to be expressed.

Concept introduction:

Scientific notation expression: A number is expressed as the product of two numbers:N×10n,where N is the digit term, 10n is the exponential term.

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.

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