Chapter 10, Problem 1E

Express each of the following percentages as a decimal.

a. 6.25%

b. $3\frac{3}{4}$%

c. $\frac{7}{10}$%

To determine

(a)

The given percentages as a decimal.

Answer to Problem 1E

Solution:

The given percentage is expressed in decimal as 0.0625.

Explanation of Solution

The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100. A percentage is a rate or proportion per hundred.

Given:

The given percentage is 6.25%.

Calculation:

The given number in percentage is 6.25%. The decimal format of this number is given as,

$\begin{array}{l}6.25\%=\frac{6.25}{100}\\ =0.0625\end{array}$

Conclusion:

Thus, the given percentage is expressed in decimal as 0.0625.

To determine

(b)

The given percentage as a decimal.

Answer to Problem 1E

Solution:

The given percentage is expressed in decimal as 0.0375.

Explanation of Solution

The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100. A percentage is a rate or proportion per hundred.

Given:

The given percentage is $3\frac{3}{4}$%.

Calculation:

The given number in percentage is $3\frac{3}{4}$%. The decimal format of this number is given as,

$\begin{array}{l}3\frac{3}{4}\%=3.75\%\\ =\frac{3.75}{100}\\ =0.0375\end{array}$

Conclusion:

Thus, the given percentage is expressed in decimal as 0.0375.

To determine

(c)

The given percentages as a decimal.

Answer to Problem 1E

Solution:

The given percentage is expressed in decimal as 0.007

Explanation of Solution

The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100. A percentage is a rate or proportion per hundred.

Given:

The given percentage is $\frac{7}{10}$%.

Calculation:

The given number in percentage is $\frac{7}{10}$%. The decimal format of this number is given as,

$\begin{array}{l}\frac{7}{10}\%=0.7\%\\ =\frac{0.7}{100}\\ =0.007\end{array}$

Conclusion:

Thus, the given percentage is expressed in decimal as 0.007.