Properties of Multiplication

The video tutorial covers the fundamental properties of multiplication, including the commutative, identity, associative, and distributive properties. Each property is explained with examples to illustrate how they simplify calculations and maintain the integrity of mathematical operations. The commutative property shows that the order of factors does not affect the product. The identity property highlights the role of one as the neutral element. The associative property allows for flexible grouping of numbers, and the distributive property combines multiplication with addition and subtraction for efficient computation.

What is the commutative property of multiplication?

• Changing the order of factors does not change the product.

• Multiplying any number by zero gives zero.

• Changing the grouping of factors does not change the product.

• Multiplying any number by one gives the same number.

Which of the following is an example of the commutative property?

• 5 x 0 = 0

• 5 x 3 = 3 x 5

• 5 x 1 = 5

• 5 x (3 x 2) = (5 x 3) x 2

What is the neutral element in multiplication?

• 0

• 1

• Any number

• 10

Which equation demonstrates the neutral element property?

• 18 x 0 = 0

• 18 x 1 = 18

• 18 x 2 = 36

• 18 x 18 = 324

What does the associative property of multiplication allow you to do?

• Multiply any number by one.

• Group factors in any way without changing the product.

• Multiply any number by zero.

• Change the order of factors.

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

• 2 x (3 x 4) = (2 x 3) x 4

• 2 x 3 = 3 x 2

• 2 x 0 = 0

• 2 x 1 = 2

What is the distributive property of multiplication?

• Multiplying any number by one gives the same number.

• Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

• Changing the grouping of factors does not change the product.

• Changing the order of factors does not change the product.

Which equation demonstrates the distributive property?

• 17 x (10 + 3) = (17 x 10) + (17 x 3)

• 17 x 3 = 3 x 17

• 17 x 1 = 17

• 17 x 0 = 0

Using the distributive property, how would you simplify 28 x (100 - 2)?

• 28 x 100 - 28 x 2

• 28 x 100 + 28 x 2

• 28 x 100 - 2

• 28 x 100 + 2

What should you do if you have any questions about the lesson?

• Ignore the question.

• Guess the answer.

• Skip the question.

• Ask the teacher for clarification.