RANGER GAMEZ

Math practice · Pre-algebra · ages 10+

Free order of operations (PEMDAS) practice

Order of operations is the rule for which part of a sum to work out first. Ranger's Math Trail practices it in three levels: multiplying before adding, parentheses, then exponents mixed with multiplying and dividing.

Every answer is worked one operation at a time, in order, so you can see exactly where a different order gives a different answer.

Practice order of operations now

Pick a level

Multiply before addingLevel 1 · ages 10+ParenthesesLevel 2 · ages 11+With exponentsLevel 3 · ages 12+

Free, no sign-up. The game asks your age once, then every answer comes with a hint and a step-by-step Show me how.

How to do it

  1. Parentheses first.
  2. Then exponents (powers like 3²).
  3. Then multiply and divide, working left to right.
  4. Then add and subtract, working left to right.

Worked examples

Example 1(9 + 3) × 3 − 1 = ?

  1. Parentheses first: 9 + 3 = 12.
  2. Multiply: 12 × 3 = 36.
  3. Subtract: 36 − 1 = 35.

Answer: 35

Try one like it →

Example 217 + 22 × 5 − 10 ÷ 2 = ?

  1. Exponent first: 22 = 2 × 2 = 4.
  2. Multiply and divide, left to right: 4 × 5 = 20, and 10 ÷ 2 = 5.
  3. Add and subtract, left to right: 17 + 20 − 5 = 32.

Answer: 32

Try one like it →

Mistakes to watch for

The game

NEW New: Ranger's Math TrailRanger's Math Trail gameplay

Ranger's Math Trail

Math: quick facts to algebra and geometry

Math from quick facts to algebra and geometry, with every step shown. It sets itself up for your age.

LearningPuzzle
Play now

Questions

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some schools say BODMAS or BIDMAS; it's the same order.

What age is it for?

Usually grades 5 to 6 (ages 10 to 12).

More math practice: Addition · Subtraction · Multiplication facts · Division and long division · Place value and rounding · Fractions · Decimals · Percents and ratios · Negative numbers · Exponents and square roots · Solving equations · Slope and linear equations · Systems of equations · Factoring quadratics · Area, perimeter and volume · Angles · Pythagorean theorem · Circles · Mean, median, mode and range · All math topics