Write the decimal as a percent 0.32 ?2. Write the decimal as a percent 2.86 ?3. Write the fraction as a percent 44/100 ?4. Write the mixed number as a percent 4 3/5 ?5. Write the fraction as a percent 5/2 ?6. Write the percent as a decimal. Round to the nearest thousandth if the division does not terminate 190% ?7. A recent report indicated that a certain state had the lowest percentage of residents with no health insurance at 8 1/25% Express the percent as a decimal
The Correct Answer and Explanation is:
1. Write the decimal as a percent: 0.32
To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol.0.32×100=32%0.32 \times 100 = 32\%0.32×100=32%
So, 0.32 as a percent is 32%.
2. Write the decimal as a percent: 2.86
Similarly, multiply 2.86 by 100 and add the percent symbol.2.86×100=286%2.86 \times 100 = 286\%2.86×100=286%
Thus, 2.86 as a percent is 286%.
3. Write the fraction as a percent: 44/100
To convert a fraction to a percent, divide the numerator by the denominator, and then multiply by 100.44100=0.44and0.44×100=44%\frac{44}{100} = 0.44 \quad \text{and} \quad 0.44 \times 100 = 44\%10044=0.44and0.44×100=44%
So, 44/100 as a percent is 44%.
4. Write the mixed number as a percent: 4 3/5
To convert the mixed number to a decimal, first convert it into an improper fraction and then divide to get the decimal form.435=235=4.64 \frac{3}{5} = \frac{23}{5} = 4.6453=523=4.6
Now, convert 4.6 to a percent:4.6×100=460%4.6 \times 100 = 460\%4.6×100=460%
So, 4 3/5 as a percent is 460%.
5. Write the fraction as a percent: 5/2
To convert 5/2 to a percent, first divide to get the decimal, and then multiply by 100.52=2.5and2.5×100=250%\frac{5}{2} = 2.5 \quad \text{and} \quad 2.5 \times 100 = 250\%25=2.5and2.5×100=250%
Thus, 5/2 as a percent is 250%.
6. Write the percent as a decimal: 190%
To convert a percent to a decimal, divide by 100.190÷100=1.90190 \div 100 = 1.90190÷100=1.90
Thus, 190% as a decimal is 1.90.
7. Express 8 1/25% as a decimal
First, convert the mixed fraction 8 1/25 to an improper fraction:8125=201258 \frac{1}{25} = \frac{201}{25}8251=25201
Now, convert it to a decimal by dividing:20125=8.04\frac{201}{25} = 8.0425201=8.04
Finally, convert the percent to a decimal by dividing by 100:8.04÷100=0.08048.04 \div 100 = 0.08048.04÷100=0.0804
Thus, 8 1/25% as a decimal is 0.0804.
These steps follow a straightforward method of either multiplying by 100 to convert decimals and fractions into percentages, or dividing by 100 to convert percentages into decimals.
