Understanding Identity and Inverse Properties

What is the identity property for addition?

• The product of any number and 0 equals that number.

• The sum of any number and 0 equals that number.

• The sum of any number and 1 equals that number.

• The product of any number and 1 equals that number.

Which of the following represents the identity property for multiplication?

• a + 0 = a

• a / 1 = a

• a - 1 = a

• a * 1 = a

What does the inverse property for addition state?

• The product of a number and its opposite is 0.

• The sum of a number and its opposite is 0.

• The sum of a number and its reciprocal is 1.

• The product of a number and its reciprocal is 1.

What is the opposite of -7 according to the inverse property for addition?

• 7

• -7

• 0

• 14

What is another term for the opposite of a number in the context of addition?

• Additive inverse

• Reciprocal

• Multiplicative inverse

• Identity element

According to the inverse property for multiplication, what is the product of a number and its reciprocal?

• The reciprocal

• The number itself

• 1

• 0

What is the reciprocal of 3/4?

• 1/4

• 4/3

• 3/4

• 1/3

What is another term for the reciprocal in the context of multiplication?

• Opposite

• Multiplicative inverse

• Identity element

• Additive inverse

Which property states that adding 0 to a number results in the same number?

• Identity property for multiplication

• Inverse property for multiplication

• Identity property for addition

• Inverse property for addition

What does the identity property for multiplication tell us?

• Multiplying a number by 0 gives 0.

• Multiplying a number by its opposite gives 0.

• Multiplying a number by 1 gives the number itself.

• Multiplying a number by its reciprocal gives 1.