When solving numerical expressions, we need to know the order in which addition, subtraction, multiplication and division are carried out. The BODMAS rule tells us the order in which we must carry out the operations.
Key point
BODMAS means:
Brackets ( )1st priority
Orders (powers) 2nd
Division / 2nd priority
Multiplication x 2nd
Addition + 3rd priority
Subtraction - 3rd
Now let carry out some Bodmas operation, you have to follow up my pattern and explanations ,lets goo..
Examples
(1) 2 x ( 6 / 3) - 1
open the bracket
6
--------- = 2
3
multiply 2 by (6/3)
2 x 2 = 4
Subtract 1 from 4
4 - 1 = 3
--------------------------------------------
= 2 x ( 6 / 3) - 1
= 2 x 2 - 1
= 4 - 1
= 3
Do not forget what the rule says, bracket first , multiplication before division
( 6 + 2 - 4) / 2
First operate the numbers in bracket
6 -2 = 4 , then 4 + 4 = 8
8 / 2 = 4
-----------------------------------------------------------------
= ( 6 - 2 +4) / 2
= ( 6 + 4-2)
= (10 -2)
=( 8)
= 8 /2
= 4
Exercises
Place brackets in the following expressions to make them correct
1. 6 x 12 - 3 + 1 = 55
2. 6 x 12 - 3 + 1 = 68
3. 5 x 4 - 3 + 2 = 15
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Solution
1. 6 x 12 - 3 + 1 = 55
= 6 x( 12 - 3) + 1
= (6 x 9) + 1
= 54 + 1
= 55
2. 6 x 12 - 3 + 1 = 68
= ( 6 x 12) - 3 + 1
= 72 -4
= 68
3. 5 x 4 - 3 + 2 = 15
= 5 x ( 4 - 3) + 2
= 5 x (1 + 2)
= 5 x 3
= 15
That is how to bracket any given expression, first you have to bracket the numbers with subtraction sign, keep the one with x at the back of the bracket that all.
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Example 2
1. (3.1 x 4.3)/ 6.2
31 48
=------- x -------
10 10
1488
=---------
100
= 14 . 88
then
1488 62
-------- / --------
100 10
24
------- = 2.4
10
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2. ( 2.6 + 6.4 ) / (7.2 - 4.2)
1
2 . 6
+ 6 . 4
--------------
9 . 0
---------------
And
7 . 2
4 . 2
--------
3 . 0
---------
9
----- = 3
3
just remove 0 and keep the whole number.
3. ( 42 x 63) x 42
we'll used expanded form method
= 42 x ( 60 + 4)
= (42 x 60) + (42 + 2)
= 2520 + 126
= 2646
Then
= 2646 x 42
= 111, 132
Solve these
1. 6 + (3 x 4 )
2. (3 + 5) x (4 + 5 + 1)
Fill the missing numbers
1. 270 + p = 4050
2. p x 3---- 60 ---- = 55
Place brackets in the following expression to make them correct.
1. 5 x 4 - 3 + 2 = 7
2. 6 x 12 - 3 + 1 = 60
If you have any question, please put them in the comments box.
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