Order of Operations and Properties

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 order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What operation do you perform first in the expression 10 - 4 ÷ 1 x 5?

Back

Division.

Front

What is the second step in the expression (3 + 4) 9 + 3?

Back

Multiplication.

Front

What does the Commutative Property of Addition state?

Back

The Commutative Property of Addition states that changing the order of the numbers being added does not change the sum. For example, a + b = b + a.

Front

Calculate the expression 5 + 36 ÷ 2 x 3 - 4.

Back

55.

Front

What is the first step in solving the expression 8 + (3 x 2)?

Back

Multiply 3 by 2.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

What is the result of 6 x (2 + 4)?

Back

36.

Front

What is the difference between multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right, meaning you do them in the order they appear in the expression.

Front

What is the result of the expression 2 + 3 x 4?

Back

14.