Exploring Multiplication Properties in Algebra

What does the commutative property of multiplication state?

• Any number multiplied by zero is zero.

• The grouping of numbers does not matter.

• The order of multiplication does not matter.

• The order of addition does not matter.

If a = 3 and b = 4, which of the following is true according to the commutative property?

• 3 / 4 = 4 / 3

• 3 - 4 = 4 - 3

• 3 * 4 = 4 * 3

• 3 + 4 = 4 + 3

What does the associative property of multiplication state?

• The order of addition does not matter.

• The order of multiplication does not matter.

• Any number multiplied by zero is zero.

• The grouping of numbers does not matter.

Which of the following is an example of the associative property of multiplication?

• 2 + 3 = 3 + 2

• 2 * 0 = 0

• 2 * 3 = 3 * 2

• (2 * 3) * 4 = 2 * (3 * 4)

What is the identity property of multiplication?

• Any number multiplied by zero is zero.

• Any number multiplied by one remains unchanged.

• The order of multiplication does not matter.

• The grouping of numbers does not matter.

Which of the following demonstrates the identity property of multiplication?

• 5 * 0 = 0

• 5 * 1 = 5

• 5 * 5 = 25

• 5 + 1 = 6

What does the inverse property of multiplication state?

• A number multiplied by its reciprocal equals one.

• Any number multiplied by zero is zero.

• The order of multiplication does not matter.

• Any number multiplied by one remains unchanged.

If a = 4, what is the result of 4 * (1/4) according to the inverse property?

• 1/4

• 4

• 1

• 0

What is the distributive property of multiplication?

• a * (1/a) = 1

• a * 1 = a

• a * b = b * a

• a * (b + c) = a * b + a * c

Using the distributive property, what is 5 * (3 + 4)?

• 5 * 3 + 5 * 4

• 5 + 3 * 4

• 5 * 3 + 4

• 5 * 3 * 4