Basic Arithmetic : Percents and Decimals

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #1 : Changing A Decimal To A Percent

What is  expressed as a percentage rounded to the nearest tenth?

Possible Answers:

Correct answer:

Explanation:

Percents are numbers expressing parts of  means  part of , or 

 

The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of . Therefore:

Now, we need to round the percentage to the nearest tenth. The number after the tenths place is a five, so we need to round up:

 is therefore our final answer.

Example Question #31 : Percents And Decimals

What is  expressed as a percentage rounded to the nearest hundredth?

Possible Answers:

Correct answer:

Explanation:

Percents are numbers expressing parts of  is the same thing as saying  parts of  or 

 

The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of . Therefore:

In everyday usage, percents usually are between  and . However, when a number is greater than , it's corresponding percentage is going to be greater than . The next step of this problem is to round the percentage we have to the nearest hundredth. The number in the thousandths place is , therefore, we're going to round up:

 is therefore our final answer.

Example Question #31 : Percents And Decimals

Change  to a decimal.

Possible Answers:

Correct answer:

Explanation:

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

Example Question #32 : Percents And Decimals

What is  as a decimal?

Possible Answers:

Correct answer:

Explanation:

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

Then, divide the number by 100.

Example Question #33 : Percents And Decimals

Convert the following percent to a decimal:

.

Possible Answers:

Correct answer:

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.

Example Question #34 : Percents And Decimals

Convert the following percent to a decimal:

.

Possible Answers:

Correct answer:

Explanation:

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

 

Example Question #31 : Percents And Decimals

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.

Possible Answers:

Correct answer:

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%.

 

Example Question #31 : Percents And Decimals

What is  expressed as a decimal?

Possible Answers:

Correct answer:

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 .

Example Question #1 : Changing A Fraction To Percent

If  students out of a class of  are wearing blue, what percentage of the class is NOT wearing blue?

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

If  of the students are wearing blue then that means  of them are not wearing blue. Because,

Now to find the percentage we divide the number of students not wearing blue, by the total number of students in the class and then multiply by .

Thus,

Example Question #35 : Percents And Decimals

Convert   to a percentage.

Possible Answers:

Correct answer:

Explanation:

The correct answer is 20%. This can be obtained by first converting the fraction  to a decimal and then multiplying by 100 to get a percentage.

 

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