All Basic Arithmetic Resources
Example Questions
Example Question #31 : Percents And Decimals
What is expressed as a percentage rounded to the nearest tenth?
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 #8 : Changing View
What is expressed as a percentage rounded to the nearest hundredth?
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 #7 : Changing View
Change to a decimal.
To change a percent to a decimal, drop the "%" sign then divide by 100.
Example Question #1 : Changing A Percent To A Decimal
What is as a decimal?
To change a percent by the decimal, first drop the percent sign.
Then, divide the number by 100.
Example Question #32 : Percents And Decimals
Convert the following percent to a decimal:
.
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 #33 : Percents And Decimals
Convert the following percent to a decimal:
.
To convert a percent to a decimal, divide the percent by 100 or move the decimal point two places to the left.
Example Question #5 : Changing A Percent To A Decimal
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.
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 #2 : Changing A Percent To A Decimal
What is expressed as a decimal?
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?
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 #2 : Changing A Fraction To Percent
Convert to a percentage.
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.