Identity or Zero Property of Multiplication
Does this equation represent the identity or zero property of multiplication?
30 x 1 = 30
What is the Identity Property
(4 x 2) x 3 = 4 x (2 x 3)
What is the rule for the commutative property of multiplication? (hint: flip flop facts)
No matter what the order of the factors the product will stay the same.
Alex bought 6 packs of gum. Each pack came with five pieces. She then gave 7 pieces to her classmates. How many sticks does she have left?
6 x 5 = 30
30 - 7 = 23
What property of multiplication does the following equation represent?
0 x 9 = 0
What is the Zero Property?
Do these equations accurately show the associative property of multiplication? Explain why or why not
2 x (1 x 5) = 3 x (1 x 5)
Write two equations to show the commutative property of multiplication.
answers may vary
Ms. Gump bought 5 packages of fruit snacks. Each package has 5 pieces. If she gave 15 pieces to Ms. Brown, how many pieces does Ms. Gump have left?
5 x 5 = 25
25 - 15= 10
Write an equation the shows the identity property of multiplication.
___ x 1 = ____
Show the Associative Property of Multiplication by writing a multiplication sentence using factors 1, 2 and 4.
1 x (2 x 4)
(1 x 2) x 4
(4 x 2) x 1
Do the following equations demonstrate the distributive property to find 6 × 12? Explain
6 x 12 = (6 x 9) + (6 x 3)
Yes, they decomposed the 12 to 9 and 3.
Emma had this question on her test:
Ms. McCabe went to the store and bought 3 packages of gold coins. Each package has 6 gold coins in it.
This was her math: 3 + 6 = 9
Is she correct? Why or why not?
No, Emma should have multiplied 3 x 6 instead of adding.
Write an equation the shows the zero property of multiplication.
___ x 0 = 0
Show the Associative Property of Multiplication by writing 2 multiplication sentences using factors 3, 2 and 4.
(3 x 2) x 4
3 x (2 x 4)
(3 x 4) x 2
Write the following equation to show the distributive property of multiplication.
4 x 8
Answers may vary based on the factor decomposed
Ex: 4 x 8 = (4 x 4) + (4 x 4)
Ryan had this question on his homework:
Mr. Rassmussen bought 3 packages of 8 buns for a barbeque. Mr. R and his friends used 7 of the buns. How many buns are left?
3 x 8 = 24
24 - 7 = 17
Is he correct?
Yes. First, he had to multiply to solve for 3 x 8, then he had to subtract the buns they ate. Ryan did the problem correctly.
What is the rule for the identity property of multiplication?
What is the rule for the zero property of multiplication?
Identity property says that any number multiplied by 1 will equal itself.
Zero property says that any number multiplied by 0 will equal 0.
What is the rule for the associative property of multiplication?
The associative property of multiplication says that no matter how the numbers are grouped the product will stay the same.
What famous Disney character do we use to help us with the distributive property?
Use it to decompose and solve the following equation.
7 x 8
Mickey Mouse
Answers may vary based on how the student decomposes.
Ex: 7 x 8= (7 x 4) + (7 x 4)
Maggie has this problem on her test:
Alex walks 3 dogs on Monday, Wednesday, and Friday each week. What is the total number of dogs she walks in 4 weeks?
3 x 3 = 9
9 + 4 = 13 weeks
Was she correct? why or why not?
No, she was not correct. Maggie did the first step correctly, by multiplying 3 dogs x 3 days to get 9. Then she needed to multiply 9 x 4 to get the total number of dog walks in 4 weeks.