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Calculate 16 - 8 ÷ 2 + 1

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

Step by step

The question

Question: work out 16 − 8 ÷ 2 + 1.

16 − 8 ÷ 2 + 1

1 Times and divide

Dividing comes before minus and plus.

Order: ( ) → x² √ → × ÷ → + −

8 divided by 2 is 4.

= 16 − 4 + 1

2 Plus and minus

Plus and minus: we go from left to right.

same kind: left → right

16 minus 4 is 12.

= 12 + 1

12 plus 1 is 13.

= 13

Careful!

Many people go from left to right and get 5.

But times and divide come before plus and minus.

Careful: not 16 − 8 ÷ 2 + 1 = 5 ✗

So the answer is 13.

Let's look back.

First: times and divide.

Last: plus and minus.

Answer
= 13

Your turn

Try this one yourself, then check:

Work out 21 − 12 ÷ 2 + 1
Show the answer
16

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