Multiplication to Divide with 6 and 7

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:

1. Find the value of 56 divided by 7.
2. Write the related multiplication fact, and then find quotient for each of the following:
   30 ÷6
   49 ÷ 7
3. Find the quotient of the following using related multiplication and division facts.
   14 ÷ 7=?
   What times 7 equals 14?
   7 x _____ =14
   14 ÷ 7 = ______
4. Find 48 ÷ 6
5. 60 cards are distributed equally among 6 men. How many cards will each person get?
6. 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?
7. Write the quotient for following in the boxes.

8. Find the quotient.

1. 6÷54
2. 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.