Transcript Order of Operations - Hants East Rural High School

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Order of Operations
Work out the tricky looking calculation below mentally.
If you got the answer 25 then you will have simply done the calculations in order
from left to right.
20
8 + 12 ÷
5
22
25
x (7 - 2)= 23
B rackets
E xponents
8 + 12 ÷ 22 x 5
D ivision
8 + 12 ÷ 4 x 5
M ultiplication
8+3x5
It has been agreed by
convention that the order
in which the operations are
performed is as follows.
8 + 15
23
BEDMA
S
A ddition
S ubtraction
Is a mnemonic that can be used to help remember this if
needed. Applying it to the original calculation we get:
Intro
Order of Operations
Work out the tricky looking calculation below mentally.
If you got the answer 25 then you will have simply done the calculations in order
from left to right.
20
8 + 12 ÷
5
22
25
x (7 - 2) = 23
Scientific calculators are programmed to carry
out calculations in the correct order whereas
ordinary basic calculators are not.
B rackets
E xponents
D ivision
M ultiplication
A ddition
23
BEDMA
S
25
S ubtraction
Is a mnemonic that can be used to help remember this if
needed. Applying it to the original calculation we get:
Order of Operations
BEDMAS
Note that if the operations of division and multiplication appear adjacent to each
as in the cases below then there is no priority given to either. Simply perform the
calculation from left to right.
The same applies to addition and subtraction.
DM
AS
8 x 4 ÷ 2 = 16
8 + 4 - 2 = 10
8÷4x2 =4
8-4+2=6
Order of Operations
BEDMAS
We will work out the calculations below using the correct order of operations
Example Questions
8 x 4 + 10
= 32 + 10
= 42
1
4
2
10 - 4 ÷ 2
= 10 - 2
=8
9 + 18 ÷ 32 - 10
= 9 + 18 ÷ 9 -10
= 9 + 2 - 10
=1
5
3
(9 + 6) ÷ 3
= 15 ÷ 3
=5
4+6x5-3
= 4 + 30 - 3
= 31
Ex Q 1
Order of Operations
BEDMAS
Work out the calculations below.
Questions
8 + 12 ÷ 4
(b) 5 x 6 - 9
(c) 5 + 20 ÷ 5 - 3
(d) 36 ÷ (8 - 5)2 - 3
(e) 24 x 2 - 62 ÷ 3
(f) 8 - 2 x 0 + 32
(g) 5(8 - 6)3 + 4
(h) 8 x 4 ÷ 2 x 3 + 1
(a)
= 11
= 21
=6
=1
= 36
= 17
= 44
= 49
Questions 1
Order of Operations
BEDMAS
We will work out the calculations below using the correct order of operations
Example Questions
1
2(32 + 1)2
= 2 x 102
= 2 x 100
= 200
2
3
(32 + 42)
3+2
4
25
=
=1
5
3 + (4 + 5)2 ÷ 27
= 3 + 92 ÷ 27
= 3 + 81 ÷ 27
=3+3=6
40 + 20
5x6
60
=2
=
30
EX Q 2
Order of Operations
BEDMAS
Work out the calculations below.
Questions
3(22 -1)2
(b) 50 ÷ 52 + 2(3 + 8)
(c) 8 ÷ 4 + 23 x 3
(d) 49 ÷ (4 + 3)2 - 3
(e) (52 + 122) - 10 ÷ 2
(a)
(f)
(9 + 33)
10 - 4
=1
(g)
= 27
= 24
= 26
= -2
=8
42 ÷ 8 - 2
3x4
=0
Questions 2
Worksheet
Questions 1
8 + 12 ÷ 4
(b) 5 x 6 - 9
(c) 5 + 20 ÷ 5 - 3
(d) 36 ÷ (8 - 5)2 - 3
(e) 24 x 2 - 62 ÷ 3
(f) 8 - 2 x 0 + 32
(g) 5(8 - 6)3 + 4
(h) 8 x 4 ÷ 2 x 3 + 1
(a)
Worksheet
Questions 2
3(22 -1)2
(b) 50 ÷ 52 + 2(3 + 8)
(c) 8 ÷ 4 + 23 x 3
(d) 49 ÷ (4 + 3)2 - 3
(e) (52 + 122) - 10 ÷ 2
(a)
(f)
(9 + 33)
10 - 4
(g)
42 ÷ 8 - 2
3x4