Order of Operations, Prime Factorization, & Exponents

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. 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 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 is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

What does the exponent in a number indicate?

Back

The exponent indicates how many times the base number is multiplied by itself.

Front

Calculate the value of 5².

Back

25

Front

Calculate the value of 2⁴.

Back

16

Front

How do you find the prime factorization of 30 using a factor tree?

Back

30 can be factored into 2 and 15, then 15 can be factored into 3 and 5. So, the prime factorization is 2 × 3 × 5.

Front

What is the value of 3³?

Back

27

Front

What is the value of 4² + 3²?

Back

25 (16 + 9 = 25).

Front

What is the rule for solving addition and subtraction using order of operations?

Back

Perform addition and subtraction from left to right.