Exponents, Prime Factorization, and Order of Operations

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 × 2 × 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 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

Calculate: 4 ⋅ 8 ÷ (8 − 6)

Back

16

Front

Calculate: (14 - 2) x 10 + 6

Back

126

Front

Find the prime factorization of 75 using a factor tree.

Back

5² x 3

Front

Calculate: 8 ÷ 8 + 6 × 2

Back

13

Front

Which of the following is not a prime number: 3, 9, 2, 13?

Back

9

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What does the term 'base' mean in exponents?

Back

The base is the number that is being multiplied in an exponent. For example, in 3^4, 3 is the base.