Stage 9 · Mixed operations
Mixed four operations
Read it all first: brackets come first.
How to do it
Method
Read it all first: brackets come first
(5 + 7) × 3 = 12 × 3 = 36
One more example
48 ÷ 6 + 9 = 8 + 9 = 17
In full
Read the whole line before you start. Any brackets? Any pairing that makes a round number? In 25 × 8 × 4, doing 25×4=100 first is far quicker. Reorder when it's legal, and only then.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
(4 + 2) × 9
Show the answer and working
Answer: (4 + 2) × 9 = 54
(4 + 2) × 9: brackets first, 4 + 2 = 6, 6 × 9 = 54
Example 2
24 ÷ 3 + 2
Show the answer and working
Answer: 24 ÷ 3 + 2 = 10
24 ÷ 3 + 2: × and ÷ before + and −, 24 ÷ 3 = 8, 8 + 2 = 10
Example 3
(11 + 2) × 7
Show the answer and working
Answer: (11 + 2) × 7 = 91
(11 + 2) × 7: brackets first, 11 + 2 = 13, 13 × 7 = 91
Example 4
42 ÷ 6 + 18
Show the answer and working
Answer: 42 ÷ 6 + 18 = 25
42 ÷ 6 + 18: × and ÷ before + and −, 42 ÷ 6 = 7, 7 + 18 = 25
Practise mixed four operations in the game →Stage 9 · Mixed operations · Free to start, unlimited questions, no download