6th Grade Order of Operations

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

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Front

Calculate: 20 + (6·5) + 10 - 32

Back

The answer is 20. First, calculate inside the parentheses: 6·5 = 30. Then, 20 + 30 + 10 - 32 = 28.

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

What is the prime factorization of 90?

Back

The prime factorization of 90 is 2 x 3² x 5.

Front

Calculate: (-16 ÷ 4 + 2) x 2² - 4

Back

The answer is -12. First, calculate inside the parentheses: -16 ÷ 4 = -4, then -4 + 2 = -2. Next, -2 x 4 - 4 = -8 - 4 = -12.

Front

What is an equivalent expression?

Back

An equivalent expression is a different expression that has the same value for all values of the variable(s) involved.

Front

Generate an equivalent expression for 80 using prime factorization.

Back

The prime factorization of 80 is 2⁴ x 5.

Front

What is the value of 2²?

Back

The value of 2² is 4.

Front

What is the result of 10(2 + 6)?

Back

The result is 80. First, calculate inside the parentheses: 2 + 6 = 8, then 10 x 8 = 80.