High School

Which set of statements shows the correct steps to find 70 percent of [tex]$82$[/tex]?

A. Write 70 percent as [tex]\frac{70}{100}[/tex]. Then, find [tex]\frac{70}{100}[/tex] of [tex]$82$: 82 \times \frac{70}{100} = 57.4[/tex]. So, 70 percent of 82 is 57.4.

B. Write 70 percent as [tex]\frac{1}{7}[/tex]. Then, find [tex]\frac{1}{7}[/tex] of [tex]$82$: 82 \times \frac{1}{7} = 11.71[/tex]. So, 70 percent of 82 is 11.71.

C. Write 70 percent as [tex]\frac{7}{10}[/tex]. Then, find [tex]\frac{7}{10}[/tex] of [tex]$82$: 82 \times \frac{7}{10} = 57.4[/tex]. So, 70 percent of 82 is 57.4.

D. Write 70 percent as [tex]\frac{1}{70}[/tex]. Then, find [tex]\frac{1}{70}[/tex] of [tex]$82$: 82 \times \frac{1}{70} = 1.17[/tex]. So, 70 percent of 82 is 1.17.

Answer :

To find 70 percent of [tex]$82, you can follow these steps:

1. Understand the Meaning of Percent:
- "Percent" means "per hundred." So, 70 percent means 70 out of every 100 parts.

2. Convert Percent to Decimal:
- To convert a percentage to a decimal, divide by 100.
- For 70 percent, divide 70 by 100, which is 0.7.

3. Calculate the Percentage of the Amount:
- Now, multiply the decimal form of the percentage by the dollar amount.
- Multiply 0.7 (the decimal form of 70 percent) by 82.

4. Perform the Multiplication:
- 0.7 multiplied by 82 equals 57.4.

Therefore, 70 percent of $[/tex]82 is 57.4.