Partial Products
Use Partial Products to Solve:
45 x 3 = x
5 x 3 = 15
40 x 3 = 120
120 + 15 = 135
x = 135
Use an Area Model to Solve:
45 x 3 = x
5 x 3 = 15
40 x 3 = 120
120 + 15 = 135
x = 135
Use the Distributive Property to Rewrite the Expression:
36 x 3
(30 x 3) + (6 x 3)
What expression does this represent:
(10 x 4) + (2 x 4)
12 x 4
In each of 4 games last month, Kevin's basketball score total was 124. Find the total amount of points Kevin scored for all 4 games.
124 x 4 = 496 points.
Use Partial Products to Solve:
236 x 4 = b
6 x 4 = 24
30 x 4 = 120
200 x 4 = 800
800 + 120 + 24 = 944
b = 944
Use an Area Model to Solve:
236 x 4 = b
6 x 4 = 24
30 x 4 = 120
200 x 4 = 800
800 + 120 + 24 = 944
b = 944
Use the Distributive Property to Rewrite the Expression:
126 x 4
(100 x 4) + (20 x 4) + (6 x 4)
What expression does this represent?:
(20 x 5) + (6 x 5)
26 x 5
Mr. Russo is selling cans of gravy for Thanksgiving. He sold 4 boxes of 30 cans and 5 boxes of 20 cans. How many cans of gravy did Mr. Russo sell total?
Step 1: 4 x 30 = 120
Step 2: 5 x 20 = 100
Step 3: 120 + 100 = 220 cans of gravy.
Use Partial Products to Solve:
1,278 x 5 = n
8 x 5 = 40
70 x 5 = 350
200 x 5 = 1,000
1,000 x 5 = 5,000
5,000 + 1,000 + 350 + 40 = 6,390
n = 6,390
Use an Area Model to Solve:
1,278 x 5 = n
8 x 5 = 40
70 x 5 = 350
200 x 5 = 1,000
1,000 x 5 = 5,000
5,000 + 1,000 + 350 + 40 = 6,390
n = 6,390
Use the Distributive Property to Rewrite the Expression:
357 x 6
(300 x 6) + (50 x 6) + (7 x 6)
What expression does this represent?:
(200 x 3) + (30 x 3) + (4 x 3)
234 x 3
A computer store is selling an 8-inch screen laptop for $1,230 and a 12-inch laptop for $328. Find the total cost of two 8-inch laptops and three 12-inch laptops.
Step 1: 1,230 x 2 = 2,460
Step 2: 328 x 3 = 984
Step 3: 2,460 + 984 = 3,444
The laptops are $3,444 total.
Use Partial Products to Solve:
1,653 x 7 = b
3 x 7 = 21
50 x 7 = 350
600 x 7 = 4,200
1,000 x 7 = 7,000
7,000 + 4,200 + 350 + 21 = 11,571
b = 11,571
Use an Area Model to Solve:
1,653 x 7 = b
3 x 7 = 21
50 x 7 = 350
600 x 7 = 4,200
1,000 x 7 = 7,000
7,000 + 4,200 + 350 + 21 = 11,571
b = 11,571
Use the Distributive Property to Rewrite the Expression:
1,653 x 5
(1,000 x 5) + (600 x 5) + (50 x 5) + (3 x 5)
What expression does this represent?:
(1,000x 7) + (200 x 7) + (50 x 7) + (8 x 7)
1,258 x 7
Mr. Cloud wants to buy the new iPhone for his kids for the holidays. He has 2 daughters and 1 son. Each iPhone costs $452. Mr. Cloud thinks the total price for all 3 phones will be about $5,000. Is his estimate reasonable? Why or why not?
No, his answer is not reasonable because:
452 could round to 500.
500 x 3 = 1,500. This is no where near 5,000!
Use Partial Products to Solve:
3,653 x 6 = j
3 x 6 = 18
50 x 6 = 300
600 x 6 = 3,600
3,000 x 6 = 18,000
18,000 + 3,600 + 300 + 18 = 21,918
j = 21,918
Use an Area Model to Solve:
3,653 x 6 = j
3 x 6 = 18
50 x 6 = 300
600 x 6 = 3,600
3,000 x 6 = 18,000
18,000 + 3,600 + 300 + 18 = 21,918
j = 21,918
Use the Distributive Property to Rewrite the Expression:
15,324 x 4
(10,000 x 4) + (5,000 x 4) + (300 x 4) + (20 x 4) + 4 x 4)
What expression does this represent?:
(10,000 x 9) + (3,000 x 9) + (600 x 9) + (70 x 9) + (2 x 9)
13,672 x 9
Mr. Cloud wants to buy the new iPhone for his kids for the holidays. He has 2 daughters and 1 son. Each iPhone costs $452. Write and solve the equation to figure out how much Mr. Cloud will spend on the iPhones for his kids.
Poor Mr. Cloud :(
Step 1: 2 + 1 = 3
Step 2: 452 x 3 = 1,356
OR
Step 1: 452 x 2 = 904
Step 3: 452 x 1 = 452
Step 3: 904 + 452 = 1,356
He will spend $1,356 on all 3 iPhones. (Sorry Mr. Cloud!)