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, Division, Addition, and Subtraction. It is the order in which operations should be performed.

Front

What operation should be performed first in the expression 5 + 2 × 3?

Back

The multiplication (2 × 3) should be performed first, resulting in 5 + 6 = 11.

Front

In the expression 8 - (3 + 2), what should be calculated first?

Back

The expression inside the parentheses (3 + 2) should be calculated first, resulting in 8 - 5 = 3.

Front

What is the result of the expression 4 + 6 ÷ 2?

Back

The division (6 ÷ 2) should be performed first, resulting in 4 + 3 = 7.

Front

How do you simplify the expression 10 - 2 × (3 + 1)?

Back

First, calculate the expression in parentheses (3 + 1) = 4. Then perform the multiplication: 2 × 4 = 8. Finally, subtract: 10 - 8 = 2.

Front

What is the value of -4(-1 + 8)?

Back

First, calculate the expression in parentheses (-1 + 8) = 7. Then multiply: -4 × 7 = -28.

Front

What is the first step to solve 50 − 16 ÷ 2?

Back

The first step is to perform the division: 16 ÷ 2 = 8. Then subtract: 50 - 8 = 42.

Front

What is the result of -56 ÷ (-7) - (-3)?

Back

First, calculate -56 ÷ (-7) = 8. Then subtract -3: 8 - (-3) = 8 + 3 = 11.

Front

What is the error in the calculation 5 - 3 + 2 = 0?

Back

The error is that addition was done first instead of subtraction. The correct order is to subtract first: 5 - 3 = 2, then add 2, resulting in 4.