Page 67 - Fun with Mathematics 2

IMPORTANT FACTS ABOUT DIVISION

Dividing 0 and dividing by 0

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(a) Suppose you want to divide 0 by . Think of multiplication to help you.
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0 ÷ = . What number of times equals 0 → 0 × = 0
Whenever we divide 0 by any number, we always get 0 as the answer.
(b) Suppose you want to divide 3 by 0.

3 ÷ 0 = . What number of times 0 equals 3?

There is no such number. No answer is possible. We cannot divide by 0.

Dividing by 1

When you divide any number by 1, the quotient is the number itself.
36 ÷ 1 = 36; 286 ÷ 1 = 286

Dividing by 10

(a) When we studied to multiply a number by 10, we put one zero at the
right of the number — 5 × 10 = 50. Whereas, when we divide a number
having 0 in the ones place by 10, we remove the 0 to get the quotient.

50 ÷ 10 = 5 Quotient = 5

(b) When we divide a number that has some other digit in the ones place
by 10, the digit in the ones place becomes the remainder.

256 ÷ 10 The digit 6 in the ones place becomes the remainder.

Quotient = 25; Remainder = 6

Placing of Zero in the Quotient of Division

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Divide 7 9 by 7.

H T O Step 1. Hundreds column: 7 ÷ 7 = 1
1 0 7 Quotient = 1, Remainder = 0
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7 7 9 Step 2. Tens column: < 7
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– 7 Add 0 after 1 in quotient and place 9 along with .
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4 9 Step 3. 9 ÷ 7 = 7
– 4 9 Add 7 after 0 in quotient.

0 Quotient = 107; Remainder = 0

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