Vocabulary
The answer to a multiplication problem
Quotient
Mary has 4 times as many dogs as cats. She has 3 cats. How many dogs does Mary have?
4 X 3= 12
Mary has 12 dogs.
What two numbers are not factors of 36?
1, 2, 3, 4, 5, 6, 9, 12, 18, 19, 36
5, 19
0 divided by 9 = 0
Zeros in Division
Name the property
6 x 8 = 8 x 6
Commutative Property of Multiplication
The number that divides into the dividend
Divisor
Tom runs 4 miles to the gym and 4 miles back to his house 4 times each week. Write a number sentence to show how many total miles he runs each week.
4 + 4 = 8
8 X 4 = 32 miles each week
Name the first five multiples of 12.
12, 24, 36, 48, 60
Members of the marching band line up in 6 rows of 8. How many total members are there? How many other ways could the band line up in equal rows?
6 x 8 = 48 band members
1 x 48
2 x 24
3 x 16
4 x 12
(3 x 2) x 6 = 3 x (2 x 6)
Associative Property of Multiplication
The answer to a division problem
Quotient
Sandy has 15 apples. How many ways can she arrange the 15 apples so that they are in equal rows?
15 X 1 = 15
3 X 5 = 15
Jack's basketball games are 4 quarters that are 8 minutes long. Is it possible for Jack to play 35 minutes in a game? Yes or no. Why or why not?
No
4 X 8 = 32
Jack would only be able to play for 32 minutes.
Olivia wants to arrange 32 tiles in equal rows and columns. How many ways could she organize the tiles? List the factors.
1 x 32, 32 x 1
2 x 16, 16 x 2
4 x 8, 8 x 4
Olivia can arrange the tiles 6 different ways.
4 x 1 = 4
Identity Property of Multiplication
A number that is multiplied by another number
Factor
Frank want to buy 2 large boxes of fruit bars. Each box contains 5 bags of fruit and each bag has 11 fruit bars. How many fruit bars will Frank have?
2 boxes X 5 bags = 10 bags
10 bags X 11 fruit bars = 110 fruit bars
Emma has 15 gray beads, 8 purple beads, and 4 black beads. If she puts them onto 3 strings equally, how many beads are on each string. Write an equation to show how you would solve.
15 + 8 + 4 = 27 beads
27 divided by 3 = 9
Emma would have 9 beads on each string.
25, 30, 65, and 95 are all multiples of what number?
5
0 x 123,493 = 0
To break apart a number
Decompose
Maggie and her sister are going to the movies. Tickets cost $5 each. Write a number sentence to show how much they will pay for their tickets in all if they go to the movies 5 times in one month.
2 X 5= 10
10 X $5 = $50
Maggie and her sister will pay $50 to go to the movies 5 times in one month.
Use the Associative Property of multiplication to solve.
9 x 10 x 5 =
(9 x 10) x 5 =
90 x 5 = 450
Find the missing factor. 8 groups of ____ is 64
8 groups of 8 is 64.
56,743 divided by 1 = 56,743
Ones in Division