Order of Operations with Exponents

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 'exponent' mean?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2³, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What does the term 'squared' mean?

Back

The term 'squared' means raised to the power of 2. For example, 3 squared (3²) equals 3 x 3 = 9.

Front

What is the value of 2⁵?

Back

The value of 2⁵ is 32, because 2 x 2 x 2 x 2 x 2 = 32.

Front

Calculate: 7 + (12-3)²

Back

The answer is 88. First, calculate (12-3) = 9, then 9² = 81, and finally 7 + 81 = 88.

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to solve the operations inside the parentheses.

Front

Calculate: 2 + [(20 - 13) x 5] ÷ (4 + 3)

Back

The answer is 7. First, calculate (20 - 13) = 7, then 7 x 5 = 35, and (4 + 3) = 7, so 35 ÷ 7 = 5, and finally 2 + 5 = 7.

Front

What is the difference between multiplication and exponentiation?

Back

Multiplication is repeated addition of the same number, while exponentiation is repeated multiplication of the same number. For example, 3 x 3 = 9 (multiplication) and 3³ = 27 (exponentiation).

Front

Calculate: 2 + [20 - (9 x 2)]

Back

The answer is 4. First, calculate (9 x 2) = 18, then (20 - 18) = 2, and finally 2 + 2 = 4.

Front

What is the value of (3 + 2)²?

Back

The value is 25. First, calculate (3 + 2) = 5, then 5² = 25.