Grade 5 Skill Standards: CCSS 5.OA.A.1

Order of Operations (Grade 5)

When an expression mixes operations, everyone must follow the same order so they get the same answer: do parentheses first, then multiplication and division (left to right), then addition and subtraction (left to right).

What it is

Understanding order of operations

In 2 + 3 × 4, the multiplication comes first: 3 × 4 = 12, then 2 + 12 = 14 (not 20).

Worked Example

Seeing it in action

1

Worked example

Evaluate 2 + 3 × 4.

Multiplication first: 3 × 4 = 12. Then add: 2 + 12 = 14.

Visual model
2 12 14 20 2+3×4

Multiply before adding unless parentheses say otherwise.

Watch for this

A common mistake, and the fix

Working left to right through everything.

2 + 3 × 4 is not 5 × 4 = 20: multiplication comes before addition, so it is 2 + 12 = 14. Left to right applies only within multiplication and division, and within addition and subtraction.

Interactive Check

Try a few

10 − 2 × 3
Answer: 4

2×3 first.

(2 + 3) × 4
Answer: 20

parentheses first.

12 ÷ 4 + 1
Answer: 4
Free game

Make the Target

A calm order-of-operations game: choose the signs, watch the steps happen in order, and add parentheses.

Play: Make the Target →

Try it in Numeris.

A short lesson, then practice with feedback on every answer.

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Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.

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