# Unit 4 Section 3 : Order of operations

This section covers the order in which operations are carried out.
The two main methods taught for working out the order of operations are BODMAS and BIDMAS.

If more than one operation in a calculation has the same precedence, the operations are carried out from left-to-right.

## Example Question

Calculate:
(a) (3 + 2) × 6 - 8
(b) 4 × 6 + 18 ÷ 2
(c) (17 - 2) ÷ 5 + 6

Practice Questions
Work out the answer to each of these questions then click on the button marked to see whether you are correct.

(a) What is 3 + 6 × 2?

(b) What is 6 × 5 - 7 × 4?

(c) What is 8 × 20 ÷ 4 - 3?

## Exercises

Work out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.

Question 1
Calculate:
 (a) 6 + 7 × 2 (b) 8 - 3 × 2 (c) 19 - 4 × 3 (d) 3 × 6 - 9 (e) 15 - 4 + 7 × 2 (f) 11 × 3 + 2 (g) 16 × 4 - 3 (h) 6 + 7 × 2 - 20 ÷ 4 (i) 18 × 2 - (4 + 7) (j) 16 - 5 × 2 + 3
Question 2
Decide whether each of the statements below is true or false.
 (a) 6 × 7 - 2 = 40 True False (b) 8 × (6 - 2) + 3 = 56 True False (c) 35 - 7 × 2 = 56 True False (d) 3 + 7 × 3 = 30 True False (e) 18 - (4 + 7) = 21 True False (f) 43 - 3 + 2 = 42 True False (g) 80 ÷ 2 + 6 = 10 True False (h) 64 - 10 + 2 = 52 True False
Question 3
Put brackets in each statement below to make it correct:
 (a) = 21 (b) = 22 (c) = 5 (d) = 44 (e) = 35 (f) = 18
Question 4
Fill in the missing numbers in each of the questions below:
 (a)     3 × + 2 = 17 (b)     × 5 - 8 = 22 (c)     (4 + ) × 2 = 20 (d)     6 - × 2 = 0 (e)     (7 - ) × 4 = 20 (f)     ÷ 3 + 4 = 8
Question 5
Decide whether each of the statements below is true or false.
 (a) (3 × 6) × 2 = 3 × (6 × 2) True False (b) (4 + 2) + 7 = 4 + (2 + 7) True False (c) (8 - 2) - 1 = 8 - (2 - 1) True False (d) (8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2) True False
Question 6
Put brackets in each statement below to make it correct:
 (a) = 10 (b) = 19 (c) = 30
Question 7
Calculate:
 (a) 8.2 ÷ 0.2 - 0.1 (b) 3.6 × 0.2 - 0.1 (c) 8.2 × (6 - 5.4) (d) 2.2 - 0.7 × 0.2
Question 8
Fill in the missing numbers in each of the questions below:
 (a) 0.8 + × 0.6 = 3.2 (b) × 0.5 + 6 × 0.4 = 3.9 (c) 0.9 + 4.8 ÷ = 6.9 (d) 2.7 ÷ - 1.4 = 1.6

You have now completed Unit 4 Section 3
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
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