In division as the inverse of multiplication, let a and b be two whole numbers. Dividing a by b means finding a whole number which when multiplied by b gives a and we writea ÷ b = c.

Thus, a ÷ b = c or a = b × c

**For example: **

Divide 28 by 7 means finding a whole number which when multiplied by 7 gives 28. Clearly, such a number is 4. So, we write 28 ÷ 7 = 4.

Similarly, we have

12 ÷ 4 = 3, since 4 × 3 = 12

35 ÷ 5 = 7, since 5 × 7 = 35

2 ÷ 1 = 2, since 2 × 1 = 2

15 ÷ 15 = 1, since 15 × 1 = 15

42 ÷ 6 = 7, since 6 × 7 = 42

**Division by Inverse of Multiplication:**

Division Fact 24 ÷ 4 = 6 |
→ |
Multiplication fact = 6 × 4 = 24 or 4 × 6 = 24 |

Multiplication Fact 6 × 3 = 18 |
→ |
Division Fact = 18 ÷ 3 = 6 or 18 ÷ 6 = 3 |

**Note:**

If a and b are two whole numbers, then a ÷ b is also expressed as a/b.

Thus, a ÷ b = c or a = bc, which can also be written as

\(\frac{a}{b}\) = c or a = b × c.

**Questions and Answers on Division as The Inverse of Multiplication:**

**I. Write division facts: One has been done for you.**

(i) 6 × 8 = 48 ___________________ 48 ÷ 6 = 8 48 ÷ 8 = 6 |
(ii) 9 × 5 = 45 ___________________ ..... ÷ ..... = ..... ..... ÷ ..... = ..... |

(iii) 12 × 7 = 84 ___________________ ..... ÷ ..... = ..... ..... ÷ ..... = ..... |
(iv) 14 × 4 = 56 ___________________ ..... ÷ ..... = ..... ..... ÷ ..... = ..... |

(v) 16 × 2 = 32 ___________________ ..... ÷ ..... = ..... ..... ÷ ..... = ..... |
(vi) 6 × 9 = 54 ___________________ ..... ÷ ..... = ..... ..... ÷ ..... = ..... |

**Answer:**

**I.** (ii) 45 ÷ 9 = 5; 45 ÷ 5 = 9

(iii) 72 ÷ 12 = 6; 72 ÷ 6 = 12

(iv) 30 ÷ 15 = 2; 30 ÷ 2 = 15

(v) 84 ÷ 12 = 7; 84 ÷ 7 = 12

(vi) 56 ÷ 14 = 4; 56 ÷ 4 = 14

(vii) 32 ÷ 16 = 2; 32 ÷ 2 = 16

(viii) 45 ÷ 9 = 5; 45 ÷ 5 = 9

**II. Write Multiplication Facts: One has been done for you.**

(i) 27 ÷ 9 = 3 ___________________ 3 × 9 = 27 9 × 3 = 27 |
(ii) 45 ÷ 3 = 15 ___________________ ..... × ..... = ..... ..... × ..... = ..... |

(iii) 15 ÷ 3 = 5 ___________________ ..... × ..... = ..... ..... × ..... = ..... |
(iv) 12 ÷ 4 = 3 ___________________ ..... × ..... = ..... ..... × ..... = ..... |

(v) 16 ÷ 2 = 8 ___________________ ..... × ..... = ..... ..... × ..... = ..... |
(vi) 49 ÷ 7 = 7 ___________________ ..... × ..... = ..... ..... × ..... = ..... |

(vii) 54 ÷ 6 = 9 ___________________ ..... × ..... = ..... ..... × ..... = ..... |
(viii) 48 ÷ 8 = 6 ___________________ ..... × ..... = ..... ..... × ..... = ..... |

**Answer:**

**II.** (ii) 15 × 3 = 45; 3 × 15 = 45

(iii) 5 × 3 = 15; 3 × 5 = 15

(iv) 3 × 4 = 12; 4 × 3 = 15

(v) 8 × 2 = 16; 2 × 8 = 16

(vi) 7 × 7 = 49; 7 × 7 = 49

(vii) 9 × 6 = 54; 6 × 9 = 54

(viii) 6 × 8 = 48; 8 × 6 = 48

**Representation of Whole Numbers on Number Line**

**Division as The Inverse of Multiplication**

**Numbers Page**** ****6th Grade Page**** ****From Division as The Inverse of Multiplication to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.