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

How do you simplify the expression: (-5) - (-3) x (-4)?

Back

First, apply multiplication: (-3) x (-4) = 12. Then, simplify: (-5) - 12 = -17.

Front

What is the result of 10 x (-5) + (-6)^2?

Back

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

Front

How do you simplify: -8 ( -3 + -10 ) + (-5)?

Back

First, simplify inside the parentheses: -3 + -10 = -13. Then, -8 x -13 = 104. Finally, 104 + (-5) = 99.

Front

What is the value of -2 ⋅ (3 + 8 ÷ 4)^2?

Back

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

Front

What is the difference between addition and subtraction in terms of integers?

Back

Addition combines values, while subtraction finds the difference between values. For integers, subtracting a negative is the same as adding a positive.

Front

What happens when you multiply two negative integers?

Back

When you multiply two negative integers, the result is a positive integer.

Front

What happens when you multiply a positive integer by a negative integer?

Back

When you multiply a positive integer by a negative integer, the result is a negative integer.

Front

What is the result of (-2) + (-3)?

Back

The result is -5, as adding two negative integers results in a more negative integer.