Principles of General, Organic, Biological Chemistry
Principles of General, Organic, Biological Chemistry
2nd Edition
ISBN: 9780073511191
Author: Janice Gorzynski Smith Dr.
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.62AP

(a)

Interpretation Introduction

Interpretation:

The quantity 0.00125m has to be converted into scientific notation.

Concept Introduction:

Scientific notation:

  • In scientific notation, a number is represented as y×10x.
  • The term y, is known as the coefficient, is a number ranging between 1 and 10.
  • The term x is called as exponent that can be any positive or negative whole number.

Conversion of a Standard number to Scientific Notation:

Step 1:  The decimal point is moved to a give a number between 1 and 10.

Step 2:  The result is multiplied by 10x, where x is the number of places the decimal point was moved.

The quantity of x will be positive, if the decimal point is moved to the left.

The quantity of y will be negative, if the decimal point is moved to the right.

(a)

Expert Solution
Check Mark

Answer to Problem 1.62AP

The quantity 0.00125m in scientific notation is 1.25×10-3m.

Explanation of Solution

The given quantity is 0.00125m.

The number of significant figures in the number 0.00125m is three.

The coefficient is written as 1.25 and it has three significant figures.

The decimal point is moved three places to the right to give the number 1.25.  Since, the decimal point is moved to the right, the exponent is -3 and the coefficient is multiplied by 105.

The quantity 0.00125m in scientific notation is 1.25×10-3m.

(b)

Interpretation Introduction

Interpretation:

The quantity 8,100,000,000lb has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).

(b)

Expert Solution
Check Mark

Answer to Problem 1.62AP

The quantity 8,100,000,000lb in scientific notation is 8.1×109lb.

Explanation of Solution

The given quantity is 8,100,000,000lb.

The number of significant figures in the number 8,100,000,000lb is two.

The coefficient is written as 8.1 and it has two significant figures.

The decimal point is moved nine places to the left to give the number 1.234.  Since, the decimal point is moved to the left, the exponent is +9 and the coefficient is multiplied by 109.

The quantity 8,100,000,000lb in scientific notation is 8.1×109lb.

(c)

Interpretation Introduction

Interpretation:

The quantity 54,235.6m has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).

(c)

Expert Solution
Check Mark

Answer to Problem 1.62AP

The quantity 54,235.6m in scientific notation is 5.42356×104m.

Explanation of Solution

The given quantity is 54,235.6m.

The number of significant figures in the number 54,235.6m is six.

The coefficient is written as 5.42356 and it has six significant figures.

The decimal point is moved four places to the left to give the number 5.42356.  Since, the decimal point is moved to the left, the exponent is +4 and the coefficient is multiplied by 104.

The quantity 54,235.6m in scientific notation is 5.42356×104m.

(d)

Interpretation Introduction

Interpretation:

The quantity 0.000001899L has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).

(d)

Expert Solution
Check Mark

Answer to Problem 1.62AP

The quantity 0.000001899L in scientific notation is 1.899×10-6L.

Explanation of Solution

The given quantity is 0.000001899L.

The number of significant figures in the number 0.000001899L is four.

The coefficient is written as 1.899 and it has four significant figures.

The decimal point is moved six places to the right to give the number 1.899.  Since, the decimal point is moved to the right, the exponent is 6 and the coefficient is multiplied by 10-6.

The quantity 0.000001899L in scientific notation is 1.899×10-6L.

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Chapter 1 Solutions

Principles of General, Organic, Biological Chemistry

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