# CLASS-4PROPERTIES OF DIVISION

Properties Of Division -

1) Division is nothing but repeated subtraction.

Example.(a)   32 ÷ 8 =  4

also,  32 - 8 = 24;  24 - 8 = 16;  16 - 8 = 8;  8 - 8 = 0

It shows that, 8 can be subtracted from 32 by four times

Example.(b 81 ÷ 3 = 27,

Also, 81 - 3 = 78;  78 - 3 = 75;  75 - 3 = 72;  72 - 3 = 69;  69 - 3 = 66; 66 - 3 = 63;  63 - 3 = 60;  60 - 3 = 57;  57 - 3 = 54;  54 - 3 = 51; 51 - 3 = 48; 48 - 3 = 45; 45 - 3 = 42;  42 - 3 = 39;  39 - 3 = 36;  36 - 3 = 33;  33 - 3 = 30;  30 - 3 = 27;  27 - 3 = 24;  24 - 3 = 21;  21 - 3 = 18;  18 - 3 = 15;  15 - 3 = 12; 12 - 3 = 9;  9 - 3 = 6;  6 - 3 = 3;  3 - 3 = 0.

It shows that 3 can be subtracted from 81 by twenty seven times.

2) Division & Multiplication are inverse operations.

Example.(a39 ÷ 3 = 13 and  13 X 3 = 39

(b49 ÷ 7 = 7  and  7 X 7 = 49

(c64 ÷ 4 = 16 and 16 X 4 = 64

(d81 ÷ 3 = 27 and  27 X 3 = 81

3) When a non-zero number is divided by itself, the quotient is 1.

Example.(a127 ÷ 127 = 1,

(b578 ÷ 578 = 1,

(c783 ÷ 783 = 1,

(d349 ÷ 349 = 1,

4) When 0 (zero) is divided by any non-zero number, then the quotient is 0 (zero).

Example.(a0 ÷ 234 = 0,

(b0 ÷ 75 = 0,

(c0 ÷ 350 = 0,

(d0 ÷ 100 = 0,

5) When a number is divided by 1, then the quotient is the number itself.

Example.(a125 ÷ 1 = 125,

(b249 ÷ 1 = 249,

(c350 ÷ 1 = 350,

6) Division of any non-zero number by zero is not possible.

Example.(a125 ÷ 0 = Not Possible

(b346 ÷ 0 = Not Possible