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Dividing by 10, 100, and 1,000

Dividing by 10, 100, and 1,000 can be done using long division, like we’ve shown, or you can take a quick short cut to make life a little easier. There are several easy steps you can follow to use this short cut. First, start with a problem that looks like this:

Next, count the number of zeroes in the divisor. In this case, the divisor is 10, so we can count 1 zero. Be aware that the decimal place of 38 is after the 8, so it can be re-written like this: 38. Then, you’re going to move the decimal place of the dividend (38.) to the left the same number as the number of zeroes you counted earlier (so in this problem, 1).

Let's try it one more time.

Now, count the number of zeroes in the divisor. There are 2 zeroes in 100. This means that you will move the decimal place after 489. two spaces to the left, like this:

Now, here are a few for you to try. Be sure to include a decimal point in your answer, even if it's at the end. We'll be using the fraction bar, / , to show division in these problems.

36.2 / 10 =

In this problem, you're dividing by 10, which has one zero. This means that your decimal point is going to move one place to the left. Thus, your final answer is 3.62

3.62

480 / 100

In this problem, you're dividing by 100, which has two zeroes. This means that your decimal point is going to move two places to the left. Thus, your final answer is 4.80

{4.8|4.80|4.800}

78 / 1000

In this problem, you're dividing by 1000, which has three zeroes. This means that your decimal point is going to move three places to the left. Thus, your final answer is .078

{.078 | 0.078}