Exponents, Prime Factorization and PEMDAS Practice

Front

What is an exponent?

Back

An exponent is a number that shows 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 x 2 x 2.

Front

What is prime factorization?

Back

Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

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). It is the order of operations used to solve mathematical expressions.

Front

Solve: 3^2 + 4

Back

3^2 + 4 = 9 + 4 = 13.

Front

What is the first step in solving the expression: 5 + (3 x 2)?

Back

The first step is to solve the expression inside the parentheses: (3 x 2) = 6, then add 5 + 6 = 11.

Front

What is the result of 10 - 2 + 3?

Back

The result is 11. According to PEMDAS, you perform addition and subtraction from left to right.

Front

What is the prime factorization of 28?

Back

The prime factorization of 28 is 2 x 2 x 7 or 2^2 x 7.

Front

Solve: 6 + 2 x 3

Back

6 + 2 x 3 = 6 + 6 = 12. Remember to multiply before adding.

Front

What is the result of (8 - 3) x 2?

Back

(8 - 3) x 2 = 5 x 2 = 10.

Front

Which operation do you perform first in the expression: 12 ÷ 4 + 2?

Back

You perform division first: 12 ÷ 4 = 3, then add 2 to get 5.