# Division Of Integers

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We know that division is the inverse operation of multiplication. Let us see an example for whole numbers.

Since 3 × 5 = 15

So 15 ÷ 5 =

Similarly,

4 × 3 = 12 gives 12 ÷ 4 =

We can thus, say: **for each multiplication statement of whole numbers there are two division statements.**

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Can you write multiplication statement and its corresponding divison statements for integers? Observe the below expressions and match them

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From the above we observe that :

(–12) ÷ 2 = (– 6)

(–20) ÷ 5 =

(–32) ÷ 4 =

(– 45) ÷ 5 =

*We observe that when we divide a negative integer by a positive integer, we divide them as whole numbers and then put a minus sign (–) before the quotient.*

We also observe that:

So we can say that when we divide a positive integer by a negative integer, we first divide them as whole numbers and then put a **minus sign (–)** before the quotient.

In general, **for any two positive integers a and b:**

a ÷ (–b) = (– a) ÷ b where b ≠ 0

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Lastly, we observe that:

So, we can say that when we divide a negative integer by a negative integer, we first divide them as whole numbers and then put a **positive sign (+).**

In general, **for any two positive integers a and b:**

(– a) ÷ (– b) = a ÷ b where b ≠ 0