Important division vocabulary:
basic division
Now that you are multiplication experts, it's time to move on to division. Just like subtraction is the inverse of addition, division is the inverse of multiplication. Let's look at some quick examples:
What this shows us is that if we divide 30 into 5 equal parts, we would have 6 in each group. The keyword in that sentence is equal. Division is all about sharing equally. Let's see if some pictures will help make this more clear.
![Picture](/uploads/2/0/0/4/20043941/4378494.gif?443)
As you can see to the left, if you count up all the puppies, you will see there are 30 total. This looks very similar to some of our multiplication problems. You have five equal groups, each with six puppies. 5 x 6 = 30.
Division is the inverse of multiplication, however. So if you start with 30 puppies and you want to divide them out to 5 different friends, how many puppies would each friend get? You can see that in each group there 6 puppies. Therefore, 30 divided by 5 will give you the answer of 6.
What if you had 30 puppies but wanted to divide them up among 6 friends? How many puppies would each friend get?
(Hint: if you said 5 you are on your way to being a division pro!)
Division is the inverse of multiplication, however. So if you start with 30 puppies and you want to divide them out to 5 different friends, how many puppies would each friend get? You can see that in each group there 6 puppies. Therefore, 30 divided by 5 will give you the answer of 6.
What if you had 30 puppies but wanted to divide them up among 6 friends? How many puppies would each friend get?
(Hint: if you said 5 you are on your way to being a division pro!)
Division is pretty easy when you have numbers that divide equally. However, most of the time, numbers can't be divided evenly. This is when remainders come in. A remainder is what is left over when a number can't be divided equally. Let's look at an example:
(Vocab check! 13 is the dividend, the number that is being divided. 2 is the divisor, the number doing the dividing. What will the answer to this problem be called? Hint: it starts with the letter "q." )
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As a multiplication expert, you have probably already figured out that there is nothing you can multiply times 2 to get 13, but lets look a a picture just to confirm our suspicions:
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There are 13 smiley faces in the picture above. If we divide 13 by 2 we can see that we get six groups of 2. But is the quotient really just 6? What about that smiley face all by himself? He is known as a remainder. Whenever there is anything left over after dividing equally we call what is left over the remainder. The answer would be written like this:
This shows that the dividend, 13, can be divided by the divisor, 2, into 6 equal groups with 1 leftover. Remainders are written after the letter "r".
Watch the video below for some more examples of how to figure out division problems with and without remainders. The Math Antics guy has lots of good suggestions on how to figure out the quotient to division problems.
Watch the video below for some more examples of how to figure out division problems with and without remainders. The Math Antics guy has lots of good suggestions on how to figure out the quotient to division problems.
Now that you have a little knowledge under your belt, it is time to try the Study Jams activity. Click the link below to watch the video about division and multiplication fact families. Even though it uses large numbers, the idea is still useful for you. Then it's time to challenge yourself. After the video is done, close it, then click the Test Yourself button. Can you get all the answer right?
Study Jams!
Study Jams!
If you still need some help with division it's ok! Division isn't easy to master. Watch the video below for a more thorough explanation of division with some great picture examples. There is also a link below the video that will take you to a page with fun games to practice your division facts. Just remember, if you can multiply, you can divide!!
Click the link below to take you to a page that has a variety of division based math activities: