Page 14 - SM inner class 6.cdr

the remainder. The number which we divide is (ii) Divide 5679 by 7
called the dividend. The number by which we 811 Here, Dividend = 5679
7)5679
divide is called the divisor. The result obtained
–56 Divisor = 7
is called quotient. The number left over is 7
called the remainder. In 55 ¸ 9 –7 Quotient = 811

= 55 ÷ 9 = 6 and 1 9 Remainder = 2
–7
Dividend Divisor Quotient Remainder
2
For example:
(i) Divide 217 by 4 Note: div i dend = di vi sor ´ quo tient + re main der
54
4)217 Here, Dividend = 217
–20 Divisor = 4
17
–16 Quotient = 54
1 Remainder =1

E xercise 2.1

1. Simplify the follow ing.
(i) 669702 154789 113456+ + (ii) 43428 46325+
(iii) 59856 24632- (iv) 48396 22153-
(v) 345 678´ (vi) 908 765´
(vii) 125 10´ (viii) 7 900´
(ix) Divide 5679 by 7 (x) Divide 38468 by 17

Fundamental Operations = 6 ´ 3 + 2 [Performing division 48 ¸ 8 = 6]
Example 1. Simplify 24 - 4 ¸ 2 ´ 3 =18 + 2 [Performing multiplication 6 ´ 3 18]
=
Solution: 24 - 4 ¸ 2 ´ 3 = 20 [Performing addition 18 + 2]= 20

[Here order is expressed in short as ‘DMAS’ Example 3. Simplify (- 20 ) + (- 8 ) (- 2 ) ´ 3
¸
where ‘D’ stands for division, ‘M’ for Solution: (- 20 ) + (- 8 ) (- 2 ) ´ 3
¸
multiplication, ‘A’ for addition and, ‘S’ for = - 20 ) + 4 ´ 3 [Performing division
(
subtraction]
2
(- 8 ) (- 2 ) = 8 ¸ = 4]
¸
= 24 - 2 ´ 3
= -20 ) + 12 [Performing multiplication
(
[Performing division - 4 ¸ 2 = - 2] 4 ´ 3 12]
=
= 24 - 6 = - 8 [Performing subtraction-20 12 = -8]
+
[Performing multiplication 2 ´ 3 = 6] Example 4. Simplify (-5 ) (-48 ) (-16 ) (-2 )´6
¸
+
-
=18 Solution: (-5 ) - + (-2 ) ´6
3
[Performing subtraction 24 - 6 18] [Performing division 48 16¸ = 3]
=
(
Example 2. 48 ¸ 8 ´ 3 + 2 = -( 5 ) - + -12 )
3
6
Solution: 48 ¸ 8 ´ 3 + 2 [Performing multiplication (-2 ) ´ = -12]
5
3
[Hero order is expressed in short as ‘DMAS’ = - - -12 (per. add. - - = -5 3 8)
where ‘D’ stands for division, ‘M’ for = - -12 (per. add. - -8 12 = -20)
8
multiplication, ‘A’ for addition and, ‘S’ = -20
subtraction]
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Mathematics In Focus - 6