Understanding Properties of Operations

What do mathematical properties help you recognize?

• Patterns that make math easier.

• Colors in a rainbow.

• Famous historical figures.

• Different types of animals.

Why are mathematical properties important for the future?

• They are the foundation for algebra and advanced math.

• They help you write better essays.

• They improve your artistic skills.

• They make you better at sports.

Why does the commutative property of addition work?

• Because addition is a process that depends on the order of numbers.

• Because addition is a process that does not depend on the order of numbers.

• Because subtraction is the opposite of addition.

• Because multiplication is similar to addition.

What is the product of 3 × 5 according to the Commutative Property of Multiplication?

• 8

• 15

• 10

• 12

How many cookies are there in total if you have 3 rows of 5 cookies or 5 rows of 3 cookies?

• 10

• 15

• 20

• 12

Which of the following is an example of the Commutative Property for addition?

• 3 + 5 = 5 + 3

• 3 × 5 = 5 × 3

• 3 - 5 = 5 - 3

• 3 ÷ 5 = 5 ÷ 3

Which of the following is an example of the Commutative Property for multiplication?

• 4 × 6 = 6 × 4

• 4 + 6 = 6 + 4

• 4 - 6 = 6 - 4

• 4 ÷ 6 = 6 ÷ 4

What does the Associative Property of Addition state?

• The order of grouping numbers changes the final answer.

• The order of grouping numbers does not change the final answer.

• Numbers must always be added in the order they appear.

• Parentheses are not used in addition.

Which of the following equations demonstrates the Associative Property of Addition?

• (2 + 3) + 5 = 10 and 2 + (3 + 5) = 10

• 2 + 3 + 5 = 15

• (2 + 3) + 5 = 15 and 2 + (3 + 5) = 15

• 2 + 3 = 5

Why are parentheses used in the Associative Property of Addition?

• To change the final answer.

• To show which numbers to add first.

• To make the equation longer.

• To remove numbers from the equation.