Steply

Calculate 2 + 3^2 × 2

Step by step, with the reason for every step · Order of operations · Foundations

Step by step

The question

Question: work out 2 + 3² × 2.

2 + 32 × 2

1 Powers

Powers come before plus and times.

Order: ( ) → x² √ → × ÷ → + −

3² means 3 times 3.

32 = 3 × 3 = 9

That is 9.

= 2 + 9 × 2

2 Times and divide

Times comes before plus.

9 times 2 is 18.

= 2 + 18

3 Plus and minus

2 plus 18 is 20.

= 20

So the answer is 20.

Let's look back.

First: powers.

Then: times and divide.

Last: plus and minus.

Answer
= 20

Your turn

Try this one yourself, then check:

Work out 2 + 42 × 2
Show the answer
34

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