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Whiteboardmaths.com © 2008 All rights reserved 5 7 2 1

Intro rackets xponents ivision ultiplication ddition ubtraction B 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. B rackets 20 5 25 8 + 12 ÷ 22 x (7 - 2) = 23 E xponents 8 + 12 ÷ 22 x 5 D ivision 8 + 12 ÷ 4 x 5 M ultiplication It has been agreed by convention that the order in which the operations are performed is as follows. 8 + 3 x 5 A ddition 8 + 15 S ubtraction Intro 23 Is a mnemonic that can be used to help remember this if needed. Applying it to the original calculation we get: BEDMAS

rackets xponents ivision ultiplication ddition ubtraction B 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. B rackets 20 5 25 8 + 12 ÷ 22 x (7 - 2) = 23 E xponents Scientific calculators are programmed to carry out calculations in the correct order whereas ordinary basic calculators are not. D ivision M ultiplication A ddition 23 25 S ubtraction Is a mnemonic that can be used to help remember this if needed. Applying it to the original calculation we get: BEDMAS

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 ÷ 4 x 2 = 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 1 10 - 4 ÷ 2 2 (9 + 6) ÷ 3 3 = 32 + 10 = 10 - 2 = 15 ÷ 3 = 42 = 8 = 5 4 9 + 18 ÷ 32 - 10 5 4 + 6 x 5 - 3 = 9 + 18 ÷ 9 -10 = 4 + 30 - 3 = 9 + 2 - 10 = 31 Ex Q 1 = 1

Questions 1 = 11 = 21 = 6 = 1 = 36 = 17 = 44 = 49 Order of Operations BEDMAS Work out the calculations below. Questions (a) 8 + 12 ÷ 4 = 11 (b) 5 x 6 - 9 = 21 (c) 5 + 20 ÷ 5 - 3 = 6 (d) 36 ÷ (8 - 5)2 - 3 = 1 (e) 24 x 2 - 62 ÷ 3 = 36 (f) 8 - 2 x 0 + 32 = 17 (g) 5(8 - 6)3 + 4 = 44 (h) 8 x 4 ÷ 2 x 3 + 1 = 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 3 + (4 + 5)2 ÷ 27 = 2 x 102 = 3 + 92 ÷ 27 = 2 x 100 = 3 + 81 ÷ 27 = 200 = 3 + 3 = 6 3 (32 + 42) 3 + 2 4 40 + 20 5 x 6 60 30 = 2 = 25 5 = 1 = EX Q 2

Questions 2 (9 + 33) 10 - 4 42 ÷ 8 - 2 3 x 4 = 27 = 24 = 26 = -2 = 8 Order of Operations BEDMAS Work out the calculations below. Questions (a) 3(22 -1)2 = 27 (b) 50 ÷ 52 + 2(3 + 8) = 24 (c) 8 ÷ 4 + 23 x 3 = 26 (d) 49 ÷ (4 + 3)2 - 3 = -2 (e) (52 + 122) - 10 ÷ 2 = 8 (f) (9 + 33) 10 - 4 (g) 42 ÷ 8 - 2 3 x 4 = 1 = 0 Questions 2

Worksheet (9 + 33) 10 - 4 42 ÷ 8 - 2 3 x 4 (f) (a) 8 + 12 ÷ 4 Questions 1 Questions 2 (a) 8 + 12 ÷ 4 (a) 3(22 -1)2 (b) 5 x 6 - 9 (b) 50 ÷ 52 + 2(3 + 8) (c) 5 + 20 ÷ 5 - 3 (c) 8 ÷ 4 + 23 x 3 (d) 36 ÷ (8 - 5)2 - 3 (d) 49 ÷ (4 + 3)2 - 3 (e) 24 x 2 - 62 ÷ 3 (e) (52 + 122) - 10 ÷ 2 (f) 8 - 2 x 0 + 32 (f) (9 + 33) 10 - 4 (g) 5(8 - 6)3 + 4 (h) 8 x 4 ÷ 2 x 3 + 1 (g) 42 ÷ 8 - 2 3 x 4 Worksheet