Order of Operations and Evaluating

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 is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Evaluate the expression: 2 + 3 × 4

Back

14 (According to the Order of Operations, multiplication is performed before addition.)

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

Solve: 1 + 2 × (3 + 4)

Back

15 (First solve the parentheses, then multiply, and finally add.)

Front

What is the value of 5 - 6 ÷ 2?

Back

2 (According to the Order of Operations, division is performed before subtraction.)

Front

Evaluate: 3(2 + 4) - 5

Back

19 (First solve the parentheses, then multiply, and finally subtract.)

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, 2^3 means 2 × 2 × 2 = 8.

Front

Solve: (2 + 3)² - 4

Back

21 (First solve the parentheses, then square the result, and finally subtract.)

Front

Evaluate: 4 + 3 × 2 - 1

Back

10 (Multiplication is performed before addition and subtraction.)

Front

What is the result of 8 ÷ 2(2 + 2)?

Back

16 (First solve the parentheses, then perform the division and multiplication from left to right.)