10, up 10 90
What multiplication equation do the
place-value blocks show?
lll oo
lll oo
lll oo
3 x 32 = 96
4 x 100
4 x 100 = 400
Is 5 x 80 = 4 x 100? Show your work.
400 = 400
Which shows an application of the Distributive Property to multiply 4 × 26?
4 x 26 = (4 x 20) + (4 x 6)
Mr. Blaine is building a deck and bought
9 boxes of bolts. There are 40 bolts in
each box. How many bolts did Mr. Blaine
buy? Explain.
Mr. Blaine bought bolts.
I used the basic fact to find 9 x 40.
Mr. Blaine bought 360 bolts.
I used the basic fact 9 x 4 = 6 to find 9 x 40.
5 x 60
300
2 x 300
2 x 300 = 600
Is it true that 6 x 40 = 3 x 40? Show your work.
No.
240 does NOT = 120
Distribute 64 x 9:
There are 30 hamburger patties in each package. A cook has 6 packages of hamburger patties. How many hamburger patties does the cook have in all? Write an equation and solve it. Draw place value blocks to model how you solved it.
30 x 6 = 180
lll lll
lll lll
lll lll
3 x 80
240
5 x 500 =
5 x 500 = 2,500
True or False. 9 x 10 = 45 x 2? Show your work.
True.
9 x 10 = 90
45 x 2 = (40 x 2) + (5 x 2) = 80 + 10 = 90
Distribute and solve 52 x 4
(50 x 4) + (2 x4)
200 + 8
208
A merry-go-round can carry 37 riders.
There are 8 merry-go-round rides per
hour. How many people can ride the
merry-go-round in an hour?
A. Estimate the solution to the problem.
Explain how you made your estimate.
I estimated about people can ride the merry-go-round in an hour by solving and
then multiplying.
B. Solve the problem. Is your solution
reasonable? Explain how you know.
The solution is
A 296
B 302
C 320
My solution is reasonable or unreasonable
because it is not close to or ¡t is close to my
estimate.
I estimated about 320 people can ride the merry-go-round in an hour by rounding and
then multiplying.
My solution is reasonable
because it is close to my
estimate.
7 x 60
7 x 60 = 4,200
4 x 900
4 x 900 = 3,600
True or false. 5 x 75 = 5 (70 x 5)? Show your work.
True
5 x 75 = 375
5(70 x 5) = (5 x 70) + (5 x 5) = 350 + 25 = 375
375 = 375
Bethany earns $30 babysitting on
Saturdays. How much does Bethany earn
for babysitting on 4 Saturdays?
Use the values in the table to draw a numberline.
A 120
B 30
C 90
D 60
B, D, C, A
Betty is making bracelets and needs
8 boxes of blue beads and 3 boxes of
white beads. Each box of beads contains
10 beads. How many beads does
Betty need?
110 beads.
8 x 70
8 x 700
8 x 700 = 5,600
True or False. 4 x 125 = (4 x 100) + (4 x 20) + (4 x 5)
True.
Select all of the expressions that are
equal to 4 x 900. 1 point
(4 x 9) x 100
4 x 10
45 x 100
4 x 9 hundreds
4 x (9 x 100)
(4 x 9) x 100
4 x 9 hundreds
4 x (9 x 100)
Marco, Wanda, and Henry are trying to decide how to display notebooks at the school store. The notebooks are in 4 packages. Each package has 32 erasers.
Wanda says that they can lay them out in 4 rows with 8 rows of 16 notebooks in each row. Henry thinks that they should lay them out in 8 rows of 32 notebooks. Marco wants to lay them out in 8 rows of 10 notebooks and 8 rows of 6 notebooks on another table. Who ideas are reasonable? Explain.
Wanda and Marcos rows are reasonable.
Wanda's is reasonable because
4 x 32 = 8 x 16
(4 x 30) + (4 x 2) = 120 + 8 = 128
And
8 x 16 = 128
Also,
Marco is reasonable because
4 x 32 = (8 x 10) + (8x6)
(4 x 30) + (4 x 2) = 120 + 8 = 128
and...
8 x 16 = (8 x 10) x (8 x 6) = 80 + 48 = 128