Numeracy Worksheet - Castlebrae Community High School - 2012 Page 17
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47FHS Numeracy
contents page
Order of Calculation (BODMAS)
Consider this: What is the answer to 2 + 5 x 8 ?
Is it 7 x 8 = 56
or
2 + 40 = 42 ?
The correct answer is 42.
Calculations which have more than one operation need to be done
in a particular order. The order can be remembered by using the
mnemonic BODMAS. The higher the level the higher the priority
The BODMAS rule tells us which operations should be done first.
BODMAS represents:
Top level
(B)
rackets
ODMAS is Level 2 but
(O)
f
if we include brackets
(D)
ivide
(BODMAS) this moves
Middle level
us to level 3.
(M)
ultiply
(A)
dd
Bottom level
(S)
ubract
Scientific calculators use this rule, some basic calculators may not, so take care in
their use.
Example 1
15 – 12 6
BODMAS says divide first,
= 15 –
2
then subtract
Level 2
= 13
Example 2
(9 + 5) x 6
Brackets first
Level 4
= 14
x 6
then multiply.
= 84
Example 3
18 + 6 (5 - 2)
Brackets first
Level 4
= 18 + 6 3
then divide
= 18 + 2
now add
= 20
2
Example 4
16 + 5
multiply first (5 x 5)
= 16 + 25
then add
Level 3
= 41
2
Example 5
(4 + 2)
brackets first
2
=
6
then multiply (6 x 6)
Level 4
= 36
17
L Watson 2012
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