Grades 5–6 Skill Standards: CCSS 5.OA.A.1

Brackets & Grouping — How Parentheses Change Value (Grades 5–6)

Parentheses (brackets) tell you what to do first, and moving them changes the answer. 2 + 3 × 4 = 14, but (2 + 3) × 4 = 20. Placing brackets is a powerful tool for hitting a target: decide what should happen first, and wrap it.

What it is

Understanding brackets & grouping

Parentheses (brackets) tell you what to do first, and moving them changes the answer. 2 + 3 × 4 = 14, but (2 + 3) × 4 = 20. Placing brackets is a powerful tool for hitting a target: decide what should happen first, and wrap it.

Key Idea

Parentheses (brackets) tell you what to do first, and moving them changes the answer. 2 + 3 × 4 = 14, but (2 + 3) × 4 = 20. Placing brackets is a powerful tool for hitting a target: decide what should happen first, and wrap it.

Worked Example

Seeing it in action

1
Worked example

Where do brackets go to make 2 + 3 × 4 equal 20?

Group the addition first: (2 + 3) × 4 = 5 × 4 = 20.

Visual model
5 14 20 (2+3)×4

Parentheses can change the value.

Interactive Check

Try a few

(6 − 2) × 3
Answer: 12
Make 8 − 4 ÷ 2 equal 2 with brackets.
Answer: (8 − 4) ÷ 2 = 2
10 − (3 + 2)
Answer: 5
Free game

Make the Target

A calm operations game for choosing operators, evaluating expressions, and placing brackets.

Play: Make the Target

Ready for the interactive lab?

Practice brackets & grouping in Numeris with instant feedback.

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Put the reasoning on paper.

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

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