Algebra - Order of Operations1

Front

What is the order of operations in algebra?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'exponent' mean?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

Solve: 3 + 5 × 2

Back

13 (First, multiply 5 × 2 = 10, then add 3.)

Front

Solve: (4 + 6) × 2

Back

20 (First, add 4 + 6 = 10, then multiply by 2.)

Front

What is the first step in solving the expression 2 + 3 × 4?

Back

Multiplication (You should multiply 3 × 4 first, which equals 12, then add 2.)

Front

What is the result of 5^2?

Back

25 (5 multiplied by itself, 5 × 5 = 25.)

Front

Solve: 10 - 2 × (3 + 1)

Back

6 (First, solve inside the parentheses: 3 + 1 = 4, then multiply: 2 × 4 = 8, and finally subtract: 10 - 8 = 2.)

Front

What is the value of 2^3 + 4?

Back

12 (2^3 = 8, then add 4: 8 + 4 = 12.)

Front

What does 'parentheses' indicate in an expression?

Back

Parentheses indicate that the operations inside them should be performed first before any other operations.

Front

Solve: 6 + 2 × 3 - 4

Back

8 (First, multiply 2 × 3 = 6, then add 6 + 6 = 12, and finally subtract 4: 12 - 4 = 8.)