Exponents, Prime Factorization, and Order of Operations

Front

What is an exponent?

Back

An exponent is a number that shows how many times to use the base in a multiplication. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What does 'squared' mean?

Back

'Squared' means to raise a number to the power of 2. For example, 4 squared (4^2) is 4 x 4 = 16.

Front

What is the order of operations?

Back

The order of operations is a set of rules to determine the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.

Front

Calculate: 7 + (12-3)^2

Back

88

Front

What is prime factorization?

Back

Prime factorization is expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2 x 2 x 3.

Front

Which expression is equivalent to 6^2 - 2^3?

Back

(6 x 6) - (2 x 2 x 2)

Front

True or False: 2^5 is the same as 2 x 5.

Back

False

Front

Calculate: 27 ÷ 3 x 2 + 4^2

Back

34

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. For example, 2, 3, 5, and 7 are prime numbers.

Front

What does the term 'base' mean in exponents?

Back

The base is the number that is being multiplied by itself. In 3^4, 3 is the base.