Step by step
The question
Question: work out 4 + 3 × (8 − 2²) ÷ 6.
4 + 3 × (8 − 22) ÷ 6
1 Brackets first
Brackets come first.
Powers come before minus.
Order: ( ) → x² √ → × ÷ → + −
2² means 2 times 2.
22 = 2 × 2 = 4
That is 4.
= 4 + 3 × (8 − 4) ÷ 6
8 minus 4 is 4.
= 4 + 3 × 4 ÷ 6
2 Times and divide
Times comes before plus.
Times and divide: we go from left to right.
same kind: left → right
3 times 4 is 12.
= 4 + 12 ÷ 6
Dividing comes before plus.
12 divided by 6 is 2.
= 4 + 2
3 Plus and minus
4 plus 2 is 6.
= 6
So the answer is 6.
Let's look back.
First: brackets first.
Then: times and divide.
Last: plus and minus.
Answer
= 6