GEMDAS Order of Operations Math Problems Solved

Published on May 31, 2026

Pre-Algebra

Learn how to solve math problems using the GEMDAS order of operations (Grouping, Exponents, Multiplication, Division, Addition, Subtraction) with step-by-step solutions.

Question

SOLVE THE FOLLOWING USING GEMDAS: 1. 6 + 3 × (3 + 1) 2. 8 + 3 × (2 + 2) 3. 12 + 2 × (6 + 1) 4. 20 − 4 × (3 + 2) 5. 16 + 12 ÷ (4 − 1) 6. 12 + 2 × (3 + 1) 2 7. 25 − 3 × (2 + 3) 2 8. 36 ÷ (3 × 2) + 4 9. 40 − 2 × (2 + 2) 2 10.10 + [2 × (5 − 3) 2 ]

Answer

To solve these problems using GEMDAS, we follow this order of operations:
  1. Grouping symbols (Parentheses (), Brackets [], Braces {})
  2. Exponents (Powers and Roots)
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)
Note: For problems 6, 7, 9, and 10, the number “2” placed below the expression is interpreted as an exponent ( ).

1.

  • Grouping:
  • Multiplication:
  • Addition:
    Answer: 18

2.

  • Grouping:
  • Multiplication:
  • Addition:
    Answer: 20

3.

  • Grouping:
  • Multiplication:
  • Addition:
    Answer: 26

4.

  • Grouping:
  • Multiplication:
  • Subtraction:
    Answer: 0

5.

  • Grouping:
  • Division:
  • Addition:
    Answer: 20

6.

  • Grouping (Inner):
  • Multiplication (Inside bracket):
  • Addition (Inside bracket):
  • Exponent:
    Answer: 400

7.

  • Grouping (Inner):
  • Multiplication (Inside bracket):
  • Subtraction (Inside bracket):
  • Exponent:
    Answer: 100

8.

  • Grouping:
  • Division:
  • Addition:
    Answer: 10

9.

  • Grouping (Inner):
  • Multiplication (Inside bracket):
  • Subtraction (Inside bracket):
  • Exponent:
    Answer: 1024

10.

  • Grouping (Inner Parentheses):
  • Exponent (Inside bracket):
  • Multiplication (Inside bracket):
  • Addition:
    Answer: 18