Changing a Percent to a Decimal

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Basic Math › Changing a Percent to a Decimal

Questions 1 - 6
1

Change to a decimal.

Explanation

To change a percent to a decimal, drop the "%" sign then divide by 100.

2

One out of the three shirts I own is red. What percent of my shirts are not red? Round your final answer to the nearest tenth.

Explanation

The question is in regards to the amount of non-red shirts. If one of the three shirts is red, then two are not red. We represent this as a fraction:

In order to convert it into a percent, we carry out the division and multiply the result by 100:

We want to round to the nearest tenth, which is the number directly to the right of the decimal point. The number in the next spot over, the hundredths place, is six, so we round the tenths spot up to seven. This gives us a final answer of 66.7%.

3

Convert the following percent to a decimal:

.

Explanation

To convert a percent to a decimal, divide the percent by 100 or move the decimal point two places to the left.

4

What is as a decimal?

Explanation

To change a percent by the decimal, first drop the percent sign.

Then, divide the number by 100.

5

Convert the following percent to a decimal:

.

Explanation

To convert a percent into a decimal, divide the percent by 100 or move the decimal point 2 places to the left.

or 68 hundredths.

6

What is expressed as a decimal?

Explanation

Percentages are numbers represented as parts of . therefore means parts of . To get the corresponding decimal, we need to divide by (which can be done by moving the decimal point two places to the left) and remove the percentage sign. Thus we obtain:

Our final answer is .

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