   Chapter 1, Problem 23RPS

Chapter
Section
Textbook Problem

Express the following numbers in exponential or scientific notation, and give the number of significant figures in each.(a) 0.054 g(b) 5462g(c) 0.000792 g(d) 1600 mL

(a)

Interpretation Introduction

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

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 scientific notation of 0.054 g can be written by moving the decimal point two places towards right and n gets negative values, arrived at the value 5.4×10-2g

(b)

Interpretation Introduction

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

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 correct number of significant figure has to be given.

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 correct number of significant figure has to be given.

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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