However, the decimal points and place values are not lined up. This way you will have the other place values lined up as well.Īt first you may want to just write these numbers down like this: When lining up decimal numbers, be sure to line them up using the decimal point. When you start to do arithmetic with decimals, it will be important to line up the numbers properly. You can see from the chart that when the place value is to the right of the decimal point, then the power of 10 becomes negative. Here is a chart showing how this works.įor example, when we say 7 is in the hundreds place in the number 700, this is the same as 7x10 2. In the decimal system each place represents a power of 10. In the number 0.07 the 7 is in the hundredths place and is the same as the fraction 7/100. For example, 0.7 is in the tenths place and represents the fraction 7/10. In the case where the place value is to the right of the decimal point, the place tells you the fraction. The right of the decimal point is like a fraction. Numbers to the right of the decimal point hold values smaller than 1. Numbers to the left of the decimal point are greater than 1. The decimal point is a dot between digits in a number. As the place moves to the left, the value of the number becomes greater by 10 times.Īnother important idea for decimals and place value is the decimal point. The place value of the 7 determines the value it holds for the number. ![]() ![]() It determines the value that the number holds.Ĭomparing the numbers 700, 70, and 7 the digit "7" has a different value depending on its place within the number. ![]() The place value is the position of a digit in a number. One of the first things to learn about decimals is the place value. There are other systems that use different base numbers, like binary numbers which use base-2. It is sometimes called a base-10 number system. The decimal system is based on the number 10. We use decimals as our basic number system.
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