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Grade 5 · Order of operations

What is 8 ÷ 2 x 4? Is it 1 or 16?

0:20 video · Watch on YouTube

8 ÷ 2 x 4 = 16. Multiplication and division are equal partners, so you work from left to right: 8 ÷ 2 = 4, then 4 x 4 = 16.

The wrong answer, 1, comes from doing the multiplication first (2 x 4 = 8, then 8 ÷ 8 = 1). That breaks the rule: multiplication does not come before division.

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The question, solved step by step

8 ÷ 2 x 4 = ?

  1. Multiplication and division have the same priority.
  2. So work from left to right.
  3. First, 8 ÷ 2 = 4.
  4. Then 4 x 4 = 16.

Answer

8 ÷ 2 x 4 = 16

The common mistake

Multiplying first: 2 x 4 = 8, then 8 ÷ 8 = 1. PEMDAS lists M before D, but they are a pair of equal rank, so the left-to-right order decides.

Parent tip

Teach PEMDAS as "MD" and "AS" pairs. Say it with your child: multiplication and division go left to right, then addition and subtraction go left to right.

Video transcript

0:00Is it one, or sixteen? Most people get this wrong!

0:07Did you say one? Nope!

0:09Times and divide are equal. Go left to right! Eight divided by two is four.

0:14Then four times four. Sixteen! Now try this one. Comment your answer!

Questions parents ask

What is 8 ÷ 2 x 4?

The answer is 16. Multiplication and division have equal priority, so go left to right: 8 ÷ 2 = 4, then 4 x 4 = 16. The answer 1 comes from multiplying 2 x 4 first, which is not the correct order.

Does multiplication come before division in PEMDAS?

No. Multiplication and division share the same level, and so do addition and subtraction. When both appear in one problem, work from left to right. The letters in PEMDAS only show the groups, not a strict order inside a group.

Why do some people get 1 for 8 ÷ 2 x 4?

They multiply 2 x 4 = 8 first and then divide 8 ÷ 8 = 1, because M comes before D in PEMDAS. In fact M and D are equal, so the left-to-right rule applies and the answer is 16.

What is 12 ÷ 3 x 2?

Go left to right. 12 ÷ 3 = 4, and 4 x 2 = 8. The answer is 8. This is the practice question from the video. Doing the multiplication first would wrongly give 12 ÷ 6 = 2.

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