College

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

A. Write 70 percent as [tex]$7 \cdot 1$[/tex] percent. Write 1 percent as [tex]$\frac{1}{100}$[/tex]. Then, find [tex]$\frac{1}{100}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{100} = \frac{82}{100} = 0.82$[/tex]. Multiply 0.82 by 7 to get 5.74. So, 70 percent of 82 is 5.74.

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

C. Write 70 percent as [tex]$7 \cdot 10$[/tex] percent. Write 10 percent as [tex]$\frac{1}{10}$[/tex]. Then, find [tex]$\frac{1}{10}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{10} = \frac{82}{10} = 8.2$[/tex]. Multiply 8.2 by 7 to get 57.4. 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]$82$[/tex]: [tex]$82 \times \frac{1}{70} = \frac{82}{70} = 1.17$[/tex]. So, 70 percent of 82 is 1.17.

Answer :

To find 70 percent of $82, follow these steps:

1. Understand 70 Percent as a Decimal:
- 70 percent is the same as 70 out of 100. To convert a percentage to a decimal, divide by 100.
- So, [tex]\( 70\% = \frac{70}{100} = 0.7 \)[/tex].

2. Calculate 70 Percent of 82:
- You need to multiply 82 by the decimal form of 70 percent, which is 0.7.
- Calculation: [tex]\( 82 \times 0.7 = 57.4 \)[/tex].

So, 70 percent of 82 is 57.4.