Arrays
Distributive Property
Commutative & Associative Properties
Zero & Identity Properties
Word Problems
100
Marlee plants 3 rows of 6 carrots in her garden. Use an X to show each carrot.
Marlee then adds 4 more rows of carrots to her garden. Use O's to show the new carrots.
How many carrots did Marlee plant altogether?
Show Mrs. Jones the array you drew. It should be an array of 7 x 6.
100
In your own words, tell what the Distributive Property is.
The break apart strategy, breaking apart an array, breaking apart a factor.
100
What is the Commutative Property?
You can flip flop the factors any way and still get the same product.
100
What is the Identity Property?
Any factor multiplied by 1 is itself.
100
Dale writes 2 x 8 = 8 x 2 in his notebook. Do you agree or disagree? Justify your answer.
The Commutative Property states that no matter how the factors are flipped, the product will be the same thing!
200
Draw an array of 4 fours + 5 fours. What is the product?
Your array should be of 9 x 4 = 36
200
Draw an array for 12 sixes. Break it apart to find the total.
Show Mrs. Jones your work.
200
Use the Associative Property to solve 4 x 6 x 3.
72
200
Draw an array for 0 x 12.
You can't!
200
A group is playing a game. They earn six pieces of candy each time they win the game. The group earns a total of 18 pieces on Tuesday. What multiplication sentence can you use to find how many times they won the game?
6 x ___ = 18 (3)
300
If an array has 2 threes and you add another row of threes, what is the total number of objects?
Nine.
300
What is one way to break apart an array for 6 x 8? DO NOT draw an array, write an equation.
Show Mrs. Jones your work.
300
Use both the Commutative and Associative Properties to solve 24 x 2 x 3.
144
300
What would the product of 1 x 0 be?
0!
300
Amber arranged her mugs in 4 equal groups of 5. How many mugs does Amber have? Write a multiplication sentence and draw a picture to prove your answer.
4 x 5 = 20
400
Write a multiplication sentence to describe each array. Then find the total.
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(4 x 8) + (2 x 8) = 48
400
Catherine does (4 x 3) + (5 x 3). What multiplication equation did she break apart?
9 x 3
400
If 7 x 2 = 2 x 7, what does 18 x 6 equal?
6 x 18 or 108
400
If you multiplied infinity by 0, what would the product be?
Still 0!
400
Cassandra makes six cakes. She uses seven eggs in each cake. Which of the following number sentences can be used to find the number of eggs Cassandra uses? Choose more than one.
A. 6 x 7
B. 6 + 6 + 6 + 6
C. 7 + 7 + 7 + 7 + 7 + 7
D. 6 + 7
Only A and C can be used.
500
Draw an array of 5 x 3. Break apart the array to show (3 x 3) + (2 x 3).
Show Mrs. Jones your array.
500
Use the Distributive Property to break apart 7 x 3, then 8 x 3. Find both products, then add them together. What is the total?
7 x 3 = 21, 8 x 3 = 24, 21 + 24 = 45
500
Use both the Commutative and Associative Properties to solve.
Draw an array for 4 x 8 x 3.
96
500
How is the Zero Property of Multiplication different from the Zero Property of Division?
The Zero Property of Division can only be used when 0 is being divided into groups because you CANNOT divide by zero. To use the Zero Property of Multiplication, the zero can be anywhere.
500
There are seven days in one week. If Beth plays outside for 3 hours a day, how many hours does she play outside in one week?
The next week, she plays outside for 2 hours a day. How many hours does she play outside that week?
How many total hours did Beth play outside?
Week One: 3 x 7 = 21 Week Two: 2 x 7 = 14 Altogether: 21 + 14 = 35 hours
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