Distributive Property
Solve using the Distributive Property
5 x 6
Use the associative property to regroup this equation:
6x20
(6x2)x10
Using the commutative property what is another problem for:
2x9
9x2
Sarah designed 35 video games. Trey designed 3 times as many video games. How many more video games did Trey design?
70 more video games
What is a partial product?
numbers you add when you break one of the factors into a sum of its parts in order to calculate a product
Solve using the Distributive Property
5 x 26
a. 5 x ( 20 + 6 )
b. ( 5 x 20 ) + ( 5 x 6 )
c. 100 + 30 = 130
d. 5 x 6 = 130
Use the associative property to regroup this equation:
4 x 80
(4x8)x 10
use the commutative property to find another example of this problem:
10x6
6x10
Deena downloads 8 songs. Jake downloads 4 times as many songs. How many more songs does Jake download? Show your work and explain.
24 more songs.
4x8=32-8=24
Give 2 examples of partial product problems for:
33 x 48
30 x 8
30 x 40
3x 8
3x 40
the Distributive Property
Multiplying a sum by a number is the same as adding the partial products
What is the associative property?
When multiplying two or more numbers, you can group the numbers in any order and the product will be the same.
The Commutative Property is?
changing the order of the factors does not change the product
Dante raised $21 at a fund-raiser. Sally raised 3 times as much as Dante. How many more dollars did Sally raise?
$42
21x3= 63-21= 42
Solve for:
245 x 6
Show ALL your work
245 x 6
(200 + 40 + 5)x 6
200x6= 1200
40x6= 240
5x6= 30
245x6= 1470
Solve using the Distributive Property
33 × 48
(30x40)+(30x8)+(3x40)+(3x8)
1200+240+120+24
33x48= 1584
Use the associative property to regroup this equation:
25x6
(5x6)x5
I have 7 bins with 8 apples in each bin. How do I know that I can put 8 apples in 7 bins and have the same amount of apples?
7x8=8x7
I know that no matter the order of the factors I get the same product.
Jay designed 4 T-shirts. Sal designed 5 times as many T-shirts. Which equation shows how many more T-shirts Sal designed?
Show your work
16 more t-shirts
Solve:
21 x 36
Show your work
(20+1) x (30+6)
(20x30) + (20x6) + (1x30) + (1x6)
600 + 120+ 30+ 6
21x36= 756
3 x 458
SHOW ALL YOUR WORK
3x400=1200
3x50= 150
3x8= 24
3x458= 1,374
Use the associative property to regroup this equation:
36x9
(6x9)x6
use the commutative property to find another example of this problem:
759x524
524x759
DOUBLE JEOPARDY
Lee designed a bookcase with 4 shelves and a frame. Each shelf weighs 12 pounds. The frame weighs 28 pounds.
Part A: How much do the shelves weigh altogether? Show your work.
Part B: What is the total weight of the shelves and frame? Explain your reasoning.
Part A:4x12= 48
Part B: 48+28= 76
TRIPLE JEOPARDY
solve for
359 x 867
Show ALL your work
(300 + 50+ 9) x (800+60+7)
300x800= 240000
300x60= 18000
300x7= 2100
50x800= 40000
50x60=3000
50x7=350
9x800=7200
9x60=540
9x7=63
240000+18000+2100+40000+3000+350+7200+540+63
359x867= 2,912,253