The Easy Method for Converting Decimals to Percents
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Here’s how to Convert Decimals to Percents
A Decimal is a number that is less than one but greater then zero. A Percent is a number that represents how many out of 100 there are. For example, when a number is said to be 60%, it means that there are 60 out of 100 in the number. When Converting a Decimal to a Percent, you have to change the decimal into a percent by multiplying the decimal by 100. There is a shortcut for multiplying the decimal by 100. The easiest way multiply the decimal by 100 is to move the decimal place to the right two times. This is the same as multiplying the number by 100 except that you do not have to do any math. Another way of thinking when converting decimals to a percents move the decimal two places to the right. Once the decimal has been converted to a percent, you can add your percentage sign to show that it is now a percent.
Common Core Standard: 6.RP.3
Related Topics: Proportions, Equivalent Ratios, Ratio Tables, Unit Rates, Converting Percents to Decimals
Return To: Home, 6th Grade
Easily complete Converting Decimals to Percents Example Problems
A Decimal is a number that is more than zero but also less than one. A percent is a number of that represents what amount of out of one hundred there are. For instance, when a number is stated to be 30%, it represents that there are 30 out of 100 within the total amount. While converting a Decimal to a percentage, you need to convert the decimal into a percentage by multiplying the decimal by the number 100. There is a shortcut for multiplying the decimal by the number 100. The very best way to convert a decimal to a percent is to move the decimal point two digits to the right. This move is the same as multiplying the number by 100. Once the decimal has been converted to a percent, you can add your percent symbol to show that it is now a percent.
3 Quick Steps to Convert Decimals to Percents
- Convert a Decimal to a Percent by multiplying the decimal by 100.
- The easiest way to multiply the decimal by 100 is to move the decimal to the right by two places.
- Once the decimal has been converted to a percent you add a percent sign to the end of the number.
Converting Decimals to Percents Practice Problems Quiz
Watch the video explanation of our Converting Decimals to Percents Worksheet
Watch our free video on how to Convert Decimals to Percents. This video shows how to solve problems that are on our free Decimal to Percent worksheet that you can get by submitting your email above.
Watch the free Converting Decimals to Percents video on YouTube here: How to Convert Decimals to Percents Video
Video Transcript:
This video is about how to turn decimals into percents. You can get the converting decimals to percents worksheets used in this video for free by clicking on the link in the description below. A decimal is any number that is less than one but greater than zero. A percentage is a number that represents how many out of one hundred there are. If we said something was 30 that means that 30 out of 100 would be included in the number. Now because a percent is out of 100 the way you can convert from a decimal to a percent is to multiply times 100. In other words, when converting decimals to a percents move the decimal point two times to the right.
This example gives us a decimal point of 0.29. For this decimal converting to percent we’re going to take 0.29 and multiply times 100. 0.29 times 100 is going to be 29 or 29. Now a shortcut for converting decimals to percents is to take your decimal and move the decimal point two times to the right. We take the decimal point move it twice to the right. In the case of the 0.29 decimal, we’ll leave the decimal point behind the 9 and it will change to a 29. Now the shortcut of moving the decimal two times to the right is because you’re multiplying times 100 and when you multiply by 100 because 100 has two zeros. The zeros are going to move the decimal point to the right two times, one time for each zero. The shortcut for converting decimals to percents is to just move the decimal two times to the right. Let’s do a couple practice problems about how to convert decimals into percents.
The first problem on our changing decimals to percents worksheet gives us 0.65. Now we know in order to convert a decimal to a percentage we have to multiply our decimal times 100. When we multiply the decimal times 100 the decimal point is going to move one two times to the right. In the case of 0.65 it’s going to turn into 65 and we know that it’s going to be 65 percent. We could also use the shortcut of taking our decimal point and moving it to the right two times to give us our percent which is going to be 65 percent as well.
The last problem we’re going to complete on our changing decimals to percents worksheet is number five. This problem gives us 1.75 as our decimal point. In order to convert that to a percent we’re going to multiply times 100. When we do that the decimal point moves two times to the right because of each zero and 100 we get our whole number of 175. And I know that’s a percent because we multiplied times 100. 1.75 as a percentage is 175 percent. We could also follow the shortcut of just taking our decimal point and moving it two times to the right to get a whole number. It’s going to be 175 and I know that it’s a percent because we multiply times 100. When converting decimals to percents it doesn’t matter if you multiply by 100 or if you just move the decimal two times to the right, you’re going to get the same solution. I hope this video was helpful for teaching you how to convert decimals to percents.
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