Dividing Decimals by Whole Numbers

Dividing Decimals by Whole Numbers

Dividing Decimals by Whole Numbers

Dividing Decimals by Whole Numbers. Dividing decimals by whole numbers is very similar to just dividing whole numbers. Let’s look at an example. 48 and 21 hundredths divided by 3. First, I’m going to write it as a long division problem.

Now before I start dividing, I’m going to go ahead and bring my decimal up to the top, and in fact even before we go any further, let’s estimate what our answer is going to be so that when we find it, we’ll know if it’s reasonable or not. If you round 48 and 21 hundredths to the whole number, 48, then you can just take 48 and divide it by 3.

48 divided by 3 is 16, so we know our answer should be close to 16. Okay, now we’re going to divide as if the decimal weren’t even there, just like we do with whole numbers, so starting with 3, goes into 4, 1 time. 3 times 1 is 3, we subtract, 4 minus 3 is 1. Bring down your 8, 3 goes into 18, 6 times, 3 times 6 is 18, subtract, and you get a 0 left over.

Bring down your 2, 3 goes into 2, 0 times, 3 times 0 is 0, you subtract and get 2. Bring down your 1 (I went a little far, there’s our 1 right there). 3 goes into 21, 7 times, 3 times 7 is 21. We subtract, and since we got a 0 remainder and we have no other numbers to bring down, we’ve finished our problem.

Notice that our answer is very close to 16, just as we estimated before we started dividing. It’s just a little bit over 16, 16 and 7 hundredths. When dividing decimals by whole numbers, just make sure you don’t forget that decimal in your answer. Otherwise, it’s just like dividing whole numbers. Good luck.

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by Mometrix Test Preparation | Last Updated: June 13, 2019