Order of Operations with Integers

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 and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the value of (-6)^2?

Back

The value of (-6)^2 is 36.

Front

How do you simplify the expression 10 x (-5) + (-6)^2?

Back

First, calculate (-6)^2 = 36. Then, calculate 10 x (-5) = -50. Finally, combine: -50 + 36 = -14.

Front

What is the result of (-5) - (-3) x (-4)?

Back

First, calculate (-3) x (-4) = 12. Then, combine: -5 - 12 = -17.

Front

What is the value of 8 ÷ 4?

Back

The value of 8 ÷ 4 is 2.

Front

How do you solve -2 ⋅ (3 + 8 ÷ 4)^2?

Back

First, calculate 8 ÷ 4 = 2. Then, calculate (3 + 2)^2 = 5^2 = 25. Finally, -2 ⋅ 25 = -50.

Front

What is the value of 5^2?

Back

The value of 5^2 is 25.

Front

How do you simplify the expression 4 + [5^2 + (-4 - 1)] ÷ 10?

Back

First, calculate 5^2 = 25. Then, calculate (-4 - 1) = -5. Combine: 25 + (-5) = 20. Finally, 4 + 20 ÷ 10 = 4 + 2 = 6.

Front

What is the result of 3 + 2 x 5?

Back

According to the Order of Operations, first multiply: 2 x 5 = 10. Then add: 3 + 10 = 13.