Exploring Properties of Addition and Multiplication

What does the commutative property of addition imply?

• The order of numbers changes the sum.

• The sum always results in zero.

• The sum remains the same regardless of the order of numbers.

• The sum is only valid for positive numbers.

Which property of addition involves grouping of numbers?

• Distributive property

• Associative property

• Commutative property

• Identity property

In multiplication, what does the identity property state?

• Multiplying by zero makes the product zero.

• Multiplying by one leaves the number unchanged.

• Multiplying by one changes the number.

• Multiplying by zero leaves the number unchanged.

How does the distributive property help in multiplication?

• It allows for grouping numbers to simplify calculations.

• It changes the order of numbers to make calculations easier.

• It reduces all numbers to single digits.

• It eliminates the need for multiplication.

What is the result of using the distributive property on 6 times 32?

• 192

• 182

• 196

• 190

How can the distributive property simplify 7 times 39?

• Multiply 7 by 50 and subtract 11.

• Multiply 7 by 30 and add 9.

• Multiply 7 by 40 and subtract 7.

• Multiply 7 by 40 and add 7.

What is the simplified product using distributive property for 7 times 300?

• 2,093

• 2,100

• 2,107

• 2,110

Which properties are used together to show that 1 times 16 equals 16?

• Distributive and commutative

• Associative and distributive

• Commutative and identity

• Identity and associative

What does the identity property of addition state about adding zero?

• The sum changes based on the number.

• The sum decreases by the number added.

• The sum increases by the number added.

• The sum remains the same.

Why is note-taking recommended by the teacher?

• To improve handwriting.

• To help remember the properties discussed.

• To use up spare paper.

• To share notes with friends.