Exploring Algebraic Properties and Operations

Which property states that the order of multiplication does not change the result?

• Property of Zero

• Identity Property

• Commutative Property

• Associative Property

What is the result of 3 times -2 according to the commutative property?

• 6

• -6

• -3

• 0

Which property states that the grouping of numbers does not affect the result of their multiplication?

• Commutative Property

• Associative Property

• Property of Zero

• Identity Property

If you have (a + b) + c, which property allows you to group it as a + (b + c)?

• Property of Zero

• Commutative Property

• Associative Property

• Identity Property

What is the identity element for multiplication?

• Any number

• 0

• 1

• -1

What is the identity element for addition?

• 1

• 0

• -1

• Any number

What is the result of any number multiplied by zero?

• The number itself

• One

• Zero

• Negative one

According to the property of zero, what is 4 times 0?

• -4

• 1

• 0

• 4

What is the result of multiplying a number by -1?

• The number itself

• Zero

• Its opposite

• One

What is the opposite of 3 according to the property of opposites?

• 1

• 3

• 0

• -3