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Lesson Menu Click on the links below to start with a specific topic. What is Division? Using Division Practice with Division Division with Numbers Practice Division with Numbers 1 and Itself

What is Division? Division is the process of separating a group into parts. In math, we use division to separate a number into equal groups.

Division Symbols The most common symbols for division are: ÷ / )¯¯¯

How do I use Division? Let’s demonstrate using apples…

Using Division Let’s say that I had 6 apples… …and I wanted to share them equally between 3 people. We could use division to give everybody an equal amount of apples!

Using Division Let’s make boxes for the 3 people!

Using Division Now, we can divide this group of apples equally! Using division, we were able to divide these 6 apples equally between 3 people. And each person got 2 apples!

Another Example of Division Let’s try another “apple” problem…

Using Division Let’s say that I had 4 apples… …and I wanted to share them equally between 4 people. We could use division again to give everybody an equal amount of apples!

Using Division Let’s make boxes for the 4 people!

Using Division Now, we can divide this group of apples equally! Using division, we were able to divide these 4 apples equally between 4 people. And each person got 1 apple!

Practice Now that you’ve seen some examples of division “apple” problems, you’re going to try some on your own!

Practice with Division What if I had 8 apples and wanted to divide them equally between 2 people? How many apples does each person have? 4 apples

Practice with Division What if I had 6 apples and wanted to divide them equally between 2 people? How many apples does each person have? 3 apples

Practice with Division Or what if I had 5 apples and wanted to divide them equally between 5 people? How many apples does each person have? 1 apple

Great job! You’re getting pretty good at division “apple” problems…

Division with Numbers Unfortunately, we can’t always divide with apples. We also have to learn how to divide with numbers…

Example Let’s say that we had the division problem 4 ÷ 2. (Four divided by two.) Although we are working with numbers, we can still set this up similar to an “apple” problem.

Rewriting the Problem 4 ÷ 2 This problem may seem confusing, but we can make it easier…

Rewriting the Problem 4 apples divided between 2 people Is that easier to figure out? Yes, it is, because now, we can set this up as an “apple” problem!

The “Apple” Problem 4 apples divided between 2 people Let’s set up the problem!

The “Apple” Problem Does this look familiar??? How many apples does each person have? 2 apples

The Answer We can see that 4 apples divided equally between 2 people means that each person gets 2 apples. But the question didn’t ask for apples… so we can’t answer with apples. The answer then is 2. 4 ÷ 2=2!

Another Example Let’s take the problem: 8 ÷ 4…

Rewrite Our first step is to rewrite the problem. After being rewritten, our new problem is: 8 apples divided between 4 people Let’s set up the problem!

The “Apple” Problem 8 apples divided between 4 people How many apples does each person have? 2 apples

The Answer But remember, we’re still not done! We still need to change our answer to fit our starting problem. The answer isn’t 2 apples, it’s just 2.

Practice Dividing with Numbers Why don’t you try a little practice on your own?

Practice 5 ÷ 1 (5 apples divided between 1 person) 5 apples How many apples does each person have? What, then, is 5 ÷ 1? 5

Practice 6 ÷ 2 (6 apples divided between 2 people) 3apples How many apples does each person have? What, then, is 6 ÷ 2? 3

Practice 9 ÷ 3 (9 apples divided between 3 people) How many apples does each person have? 3 apples What, then, is 9 ÷ 3? 3

Great job! You’re getting pretty good at dividing! Next, we’ll show you some special “tricks” for dividing…

One 1 is a special number in division. Here’s why: Any number divided by 1 is itself!

Let’s Experiment! How do we know that this is true? Take a problem like 3 divided by 1. (3 apples divided between 1 person)

Experiment with 1 3 ÷ 1 (3 apples divided between 1 person) How many apples does each person have? 3 apples What, then, is 3 ÷ 1? 3

The Answer The problem that we had was 3 ÷ 1. And the answer was 3—the same number that we started with! So, we can see that any number divided by 1 is itself!

Itself This trick works the other way, too! Another special rule of division is that any number divided by itself is 1!

Let’s Experiment! How do we know that this is true? Take a problem like 2 divided by 2. (2 apples divided between 2 people)

Experiment with Itself 2 ÷ 2 (2 apples divided between 2 people) How many apples does each person have? 1 apple What, then, is 2 ÷ 2? 1

The Answer As you just saw, we took the problem 2 ÷ 2 and found that the answer was 1. So, we can see that the trick really does work: any number divided by itself is 1!

Great job! We’ve done a lot of work with division, but now… we’re almost done! Now, it’s time to review and practice what we’ve learned.

Review Answer these questions. What is division? Division, in math, is when we separate a number (or a group of apples!) into equal groups.

Review What are some of the division symbols? ÷ / )¯¯¯

Review Fill in the blank with the correct answer. Any number divided by itself is ______. Any number divided by 1 is ___________. 1 itself

Review Solve the following problems. (Use a sheet of paper to “draw out” the problems using apples as necessary.)

Review 1.5 ÷ 5= 2.10 ÷ 2= 3.4 ÷ 2= 4.6 ÷ 1= 5.8 ÷ 2=

Solve the following problems. (Use a sheet of paper to “draw out” the problems using apples as necessary.) Review 6.9 ÷ 3= 7.1 ÷ 1= 8.6 ÷ 3= 9.8 ÷ 4= 10.2 ÷ 2=

Review Menu Teachers, are there any concepts you’d like to review? What is Division? Using Division Practice with Division Division with Numbers Practice Division with Numbers 1 and Itself

Congratulations! You now know a lot more about division! With a little practice, you’ll be division experts in no time!