Math Playground
Algebra

Brackets

Parentheses, square brackets, braces — when each one is used and why.

Brackets group things that should be treated as one. Solve what's inside first — that's the P in PEMDAS.

Walk through
Step 1 of 4
The expression

Evaluate 2[3 + (4 × 2)]. Work from the **innermost** bracket outward.

A bracket with a number in front means multiply the whole bracket: 2(3 + 8) = 2 × 11.

Your turn

Evaluate 5{2 + [6 − (1 + 1)]}.

Watch out

Brackets override the usual left-to-right order — you always finish what's inside before touching anything outside, even multiplication and powers.

Three flavours

  • ( ) parentheses — innermost
  • [ ] square brackets — next
  • { } curly braces — outermost
Try it

2[3 + (4 × 2)]

Inner: 4×2=8. Then 3+8=11. Then 2×11=22.