### Key Concepts

- Multiplication facts to divide with 6.
- Multiplication facts to divide with 7.

## The Relation between multiplication and division:

Multiplication and division are closely related, given that division is the inverse operation of multiplication.

When we divide, we separate into equal groups, while multiplication involves joining equal groups.

- If we have 6 x 8 = 48, its inverse relations (in the form of a division) will be the following:

48 ÷ 6 = 8 - If we have 7 x 9 =63, its inverse relations (in the form of a division) will be the following:

63 ÷ 7 = 9

### 4.3.1 Multiplication facts to divide with 6

**Example1:**

Danish has to put 30 flowers in 6 vases. How many flowers should Danish put in each vase?

**Solution:**

Find 30 ÷ 6

What times 6 equals 30.

5 x 6 = 30

Danish should put 5 flowers in each vase.

**Another model:**

Danish should place 5 flowers in each vase.

**Example2:**

In the shop, shopkeeper arranged 42 toy cars in 6 rows. How many toy cars are arranged in each row?

**Solution:**

Find 42 ÷ 6

What times 6 equals 42.

7 x 6 = 42

In each row 7 cars arranged.

**Another way:**

In each row 7 cars arranged.

**Example3:**

Music teacher shared 36 drums equally among 6 children. How many drums does each boy get?

**Solution:**

Find 36 ÷ 6

What times 6 equals 36.

6 x 6 = 36

Each boy gets 6 drums.

**Another way:**

Each boy gets 6 drums.

### 4.3.2 Multiplication facts to divide with 7

**Example1:**

Toby shared 35 carrots among 7 people in a park. How many carrots does each get?

**Solution:**

Find 35 ÷ 7

What times 7 equals 35.

5 x 7 = 35

Each member gets 7 carrots.

**Another way:**

Each person gets 7 carrots.

**Example2:**

Daniel arranged 56 pencils in 7 boxes. How many pencils he kept in each box?

Solution:

Find 56 ÷ 7

What times 7 equals 56.

8 x 7= 56

Each box contains 8 pencils.

**Another way:**

Each box contains 8 pencils.

#### Exercise:

- Find the value of 56 divided by 7.
- Write the related multiplication fact, and then find quotient for each of the following:

30 ÷6

49 ÷ 7 - Find the quotient of the following using related multiplication and division facts.

14 ÷ 7=?

What times 7 equals 14?

7 x _____ =14

14 ÷ 7 = ______ - Find 48 ÷ 6
- 60 cards are distributed equally among 6 men. How many cards will each person get?
- Nancy needs 7 oranges to make a glass of orange juice for her friends. If Nancy has 77 oranges, how many glasses of orange juice can she make for her friends?
- Write the quotient for following in the boxes.

8. Find the quotient.

- 6÷54
- 7÷49

9. A truck was carrying 28 chairs, stacked in sets of 7, to a function. How many stacks of chairs were there on the truck?

10. When 6 is multiplied by a number, the product is 54. Find the number.

### Concept map:

### What have we learned:

- Understand how to use multiplication facts to divide with 6.
- Understand how to use multiplication facts to divide with 7.
- Understand how to find quotient.
- Identify dividend, divisor, quotient.

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