Grades 5–6 Skill Standards: CCSS 5.OA.A.2

Four Fours — an Order-of-Operations Puzzle (Grades 5–6)

In "Four Fours," you make different target numbers using exactly four 4s and any operations/parentheses. It's a playful way to master combining operations: 4 + 4 + 4 + 4 = 16, but 4 × 4 + 4 + 4 = 24, and 4 × 4 − 4 − 4 = 8. Small changes in operation make big changes in value.

What it is

Understanding four fours

In "Four Fours," you make different target numbers using exactly four 4s and any operations/parentheses. It's a playful way to master combining operations: 4 + 4 + 4 + 4 = 16, but 4 × 4 + 4 + 4 = 24, and 4 × 4 − 4 − 4 = 8. Small changes in operation make big changes in value.

Key Idea

In "Four Fours," you make different target numbers using exactly four 4s and any operations/parentheses. It's a playful way to master combining operations: 4 + 4 + 4 + 4 = 16, but 4 × 4 + 4 + 4 = 24, and 4 × 4 − 4 − 4 = 8. Small changes in operation make big changes in value.

Worked Example

Seeing it in action

1
Worked example

Make 16 with four 4s.

4 + 4 + 4 + 4 = 16. (Or 4 × 4 × (4 ÷ 4) = 16.)

Visual model
0 8 16 24 4+4+4+4

Exactly four 4s, arranged carefully.

Interactive Check

Try a few

Make 8 with four 4s.
Answer: 4 + 4 + 4 − 4 = 8
Make 4 with four 4s.
Answer: 4 × (4 − 4) + 4 = 4
Make 0 with four 4s.
Answer: 4 + 4 − 4 − 4 = 0

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