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Math · Grade 3 Math

Chapter 1: Multiplication and Division as Equal Groups

Dividing by 2, 5, and 10

The same three tables, read backwards.

Lesson
7
Time
About 12 minutes
0 of 9 done
Part 1 of 7Let's Learn

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Watch the idea first — 52 seconds. Then read on, and try it yourself in the next step.

Dividing by 2 is halving. Dividing by 10 asks how many tens.

Dividing by 5

35 ÷ 5 asks what times 5 makes 35. You know it is 7.

Nothing new to learn

You are using the tables you learned last lesson, read the other way.

Step 2: Try It Yourself

Tap and try it out.

Every division here has a multiplication that answers it.
  • 35 ÷ 5 = 7
The same whole, in a frame. One part is colored; the rest is the other part.

How many12

12 and 8 make 20. There are 8 empty spaces.

7 and 5 make 12.

Step 3: In Real Life

Splitting the bill

A $30 meal shared by 5 friends is 30 ÷ 5. Nobody at the table works it out slowly. They ask: 5 times what makes 30? Six dollars each. Halving, and sharing by 5 or 10, are the divisions people do most.

Step 4: Watch an Example

One step at a time.

Watch Ana Divide by Ten

Ana is asked for 70 ÷ 10.

  1. Step 1

    She reads it as a question about tens: how many tens make 70?

Step 5: Your Turn

Practice makes it stick.

Fair Shares

Problem 1 of 2

16 apples are shared equally between 2 people. How many each?

apples

Coins Again

Problem 2 of 2

Leo has 45 pence, all in 5p coins. How many coins?

coins

Divide by 2, 5, and 10

1 of 4

14 ÷ 2 = ?

2 of 4

30 ÷ 5 = ?

3 of 4

80 ÷ 10 = ?

4 of 4

50 ÷ 5 = ?

Show the Missing Part

Build it, then check.

12 is 7 and how many? Show that part.

Tap the boxes.

How many0

Step 6: Quick Check

Show what you know.

Question 1 of 2

40 ÷ 5 = ?

Question 2 of 2

What is dividing by 2 the same as?

What You Learned

  • Dividing by 2 is halving.
  • Dividing by 10 asks how many tens.
  • Every division is answered by a fact you already know.
For the grown-up

This lesson is where the child divides by 2, 5, and 10 by recalling the matching multiplication fact. Multiplication is equal groups before it is a fact to recall. Three fours is three groups of four, and division is the same picture asked from the other end.

Watch for multiplication and division being learned as separate subjects. They are one relationship, and a child who sees that halves what there is to remember.

When they are stuck on a division, ask the multiplication instead: "what times 4 gives 24?" Nearly every child can answer that when they cannot answer 24 divided by 4.

The same three tables, read the other wayIf 8 × 5 = 40 then 40 ÷ 5 = 8 and 40 ÷ 8 = 5. Dividing by 2, 5 and 10 needs no new memorizing at all — it needs you to search the table you already know for the missing factor.

Dividing by 2 is halving18 ÷ 2 = 9 is the same question as "what is half of 18". Splitting a number into tens and ones helps: half of 18 is half of 10 plus half of 8, which is 5 + 4 = 9. That method keeps working for numbers far too big to remember.

Dividing by ten70 ÷ 10 = 7. The digit moves one column right and the zero that was holding the ones place is no longer needed. This only comes out neatly when the number ends in 0 — 75 ÷ 10 is not a whole number, which is a hint of the decimals waiting later.

Read your table backwards35 ÷ 5. Ask: five times what makes 35? Count in fives: 5, 10, 15, 20, 25, 30, 35. That was seven steps. 5 × 7 = 35, so 35 ÷ 5 = 7 You did not learn a division table. You read the multiplication one the other way.