Order of Operations with Rational Numbers

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Evaluate: 3 + 5 × 2

Back

3 + 5 × 2 = 3 + 10 = 13 (Multiplication first).

Front

Evaluate: (4 + 2) × 3

Back

(4 + 2) × 3 = 6 × 3 = 18 (Parentheses first).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Evaluate: 2.5 + (-1.5)

Back

2.5 + (-1.5) = 1.0.

Front

Evaluate: 36 ÷ 3² + 5 × 6

Back

36 ÷ 3² + 5 × 6 = 36 ÷ 9 + 30 = 4 + 30 = 34.

Front

What is the result of raising a negative number to an odd power?

Back

Raising a negative number to an odd power results in a negative number.

Front

Evaluate: (-0.2)³

Back

(-0.2)³ = -0.008.

Front

Back