Order of Operations, 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 is often used: 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

Solve: 5 + (3) × (2) × (1) ÷ 2

Back

The first operation is (3) × (2) = 6, then 6 × (1) = 6, then 6 ÷ 2 = 3, and finally 5 + 3 = 8.

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, in 2^3, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

Front

Solve: 4(2×3^2)

Back

First, calculate the exponent: 3^2 = 9. Then, 2 × 9 = 18. Finally, 4 × 18 = 72.

Front

What is the value of (10−9)^8?

Back

(10−9)^8 = 1^8 = 1.

Front

Solve: [14+4⋅(3⋅2)]÷2

Back

First, calculate inside the parentheses: 3 × 2 = 6. Then, 4 × 6 = 24. Now, 14 + 24 = 38. Finally, 38 ÷ 2 = 19.

Front

What is the result of 7 + [46 – 4(8)]?

Back

First, calculate inside the parentheses: 4 × 8 = 32. Then, 46 - 32 = 14. Finally, 7 + 14 = 21.

Front

What is the difference between multiplication and division?

Back

Multiplication is combining equal groups, while division is splitting into equal parts or groups.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.