Chapter 1, Problem 23RPS

### Chemistry & Chemical Reactivity

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

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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 0.054Â g can be written by moving the decimal point two places towards right and n gets negative values, arrived at the value 5.4Ã—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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