Properties and Rules
According to the zero property of multiplication, any number multiplied by zero equals:
zero!
John runs 3 laps on the track every day. Kerry runs 4 times as many laps. How many laps does Kerry run?
12 laps.
Write the equation that would complete this fact family:
6 x 8 =48
8 x 6 = 48
48 -: 6 = 8
48 -: 8 = 6
List all the factors of 12.
1, 2, 3, 4, 6, 12.
Make a list of the first 5 multiples of 5.
0,5, 10, 15, 20.
The identity property of multiplication explains that for the following equation, the variable has to be:
9 x _ = 9
1
There were 32 adults and 4 children in line at the movie theater. How many times as many adults were at the theater as children?
Sara wants to use multiplication to check her work for a division problem she solved. What 2 multiplication equations could she use?
Sara's problem:
45 -: 9 = 5
9 x 5 = 45
5 x 9 = 45
True or false: all multiples of 10 have 5 as a factor.
True
True or false: 13 is a multiple of 3.
False
The Commutative property tells us that
6 x 4 = _ x 6
4
A blue hat costs 6 dollars. A red hat costs 3 times as much as a blue hat. How much does a red hat cost?
$18.00
Tyler took 36 pictures on vacation. He organized them into a scrapbook and can fit 6 pictures on each page. How many pages will he need to use?
6 pages
Mrs. Banes has 48 cookies. Draw a picture of at least one way she could arrange the cookies on a cookie sheet in equal rows.
1x48
2x24
4x12
6x8
True or False:
4 x (6 x 7) = (4 x 6) x 7
True
Bonus: Which property gives a rule for this?
Vanessa sent twenty-five text messages a day. Mike sent five a day. How many times as many texts did Vanessa send than Mike sent?
Monique volunteered 24 hours last month at the animal shelter. If she volunteered for the same number of hours every week for 4 weeks, how many hours did she volunteer each week?
6 hours.
Robert mows 6 yards in a week. How many yards does he mow in 5 weeks?
30 yards in 5 weeks.
Which of these is not a multiple of 8?
16, 48, 54, 32, 24, 40, 8
54
Jonah delivers pizzas. He collected 10 dollars from each customer. He has 5 customers per night, and he delivered pizza for 4 nights. How much money did Jonah collect?
200 dollars.
Austin paid 24 dollars for each hat.
There are 9 mockingbird nests in a tree. There are a total of 18 eggs in the nests. There are the same number of eggs in each nest. How many eggs are in each nest? Use repeated subtraction to solve.
18-2= 16 16-2= 14 14-2=12
12-2=10. 10-2=8 8-2=6
6-2=4 4-2=2. 2-2=0
There are 2 eggs in each nest.
What number has all of these numbers as factors:
10, 2, 8, 20, 5, and 4
40
Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?
4 packs of cups
3 packs of plates
(24 of each item)