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| how to deal with operators and BODMAS |
Operators and BODMAS
Operators are processes which can be performed on numbers, e.g. +. - , x, ÷, raising to a power by the use of indices.
When we are confronted with a long calculation, the order in which we use the operators is important:
16 ÷ 4 x 2 could be 16 ÷ 4 = 4, x 2 = 8
or 16 ÷ 4 x 2, (which equals 8, ) = 2
To make sense of this, we can use brackets, or take the operations in the correct order.
The first answer takes each operation in the correct order, (divide before multiply)
If we require the second answer, we must put brackets round the operation we wish to do first:
16 ÷ (4 x 2)
BODMAS is the memnonic which helps us remember the order of operations:
B is for brackets
O is for "over", or finding a fraction, or using indices
D is for divide
M is for multiply
A is for additon
S is for subtraction.
e.g. Find the value of a in the equation
a =5(6 + 3)
10
a = (5 x 9) ÷ 10
a = 45 ÷ 10
a = 4.5 |