Page 15 - SM inner class 6.cdr

Vinculum Division

Vinculum is a horizontal bar that is drawn on The division operation is done after
a mathematical expression to indicate that performing the ‘of’ operation.
they form a group.
Multiplication
Bodmas Rule
All the multiplication involved in the
A numerical expression is a combination of
expression performed by this operation.
numbers and arithmetic operators. Finding
the value of a numerical expression by Addition
performing the operation involved in it is Then, perform all the additions,
called the simplification of the expression. To
simplify an expression, follow an order. This is Sub trac tion
called BODMAS. And finally, perform all the subtraction.

B ® Bracket Order of operation using BODMAS rule
O ® Of The Which The Form with
D ® Di vi sion Expression Operation the operation
first? done
M ® Mul ti pli ca tion
900 ¸ 20 of 900 ¸ 20 of 5 ´ 6 of
A ® Ad di tion Brackets
6
(2 + ) 3 ´ of 3 3
S ® Sub trac tion
900 ¸ 20 of of 900 ¸ 100 ´ 18
5 ´ of 3
6
Bracket
900 ¸ 100 ´ 18 division 9 ´ 18
First, all brackets are eliminated by
simplifying the term inside the bracket. 9 ´ 18 multiplication 172

(i) Simplify ‘‘( )’’ before ‘‘{ }’’ Example 5. (i) 15 -[ 2 ´ - 5 - 21¸( 1 10 2)]
)
-
(
+
2
3
{- - ( )} ´4 (ii) 46 +[ 25 3 8 7 42 3 of 7 5 2)}]
-
-
(
-
¸
-
]
{
= { } 4 Solution:
´
1
(i) 15 -[ 2 ´ - 5 - 21 ¸( 1 10 2)]
+
)
]
(
-
1
= ´4
-
[
(
=15 - -10 21 ¸ -7)]
= 4
+
[
[
+
=15 - -10 3] =15 - -7] =15 7 = 22
(ii) Simplify ‘‘{ }’’ before ‘‘[ ]’’
(
{
¸
(ii) 46 +[ 25 3 8 7 42 3 of 7 5 2)}]
-
-
-
-
100 -[ 90 - { 80 - ( 70 - 60 - 50)}]
(
-
[
-
= 46 + 25 3 8 7 42 21 3)}]
¸
{
-
[
=100 - 90 - 80 - 40)}]
{
(
(
-
-
{
[
-
=100 - 90 - 80 + 40}] = 46 + 25 3 8 7 2 3)}]
[
{
-
[
{
-
=100 - 90 120] = 46 + 25 3 8 7( -1)}]
[
-
{
[
-
+
=100 - -30] = 46 + 25 3 8 7}]
[
[
{
-
=100 + 30 = 46 + 25 3 15}]
-
[
=130 = 46 + 25 45]
= 46 + -20]
[
Of
= 46 20
-
Next, do the operation ‘‘of’’. It is similar to
= 26
multiplication, that is, it can be performed by
multiplying the terms.
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Mathematics In Focus - 6