Partial Products
Find the partial products for 324 x 4
4x4 = 16
4x 20 = 80
4 x 300 = 1200
1,296
Draw an area model to solve 236 x 3
600 + 90 + 18 = 708
Solve 268 x 7
1,876
Solve 8 x 70 using mental math.
560
Solve 462 x 4 using partial products.
4 x 2 = 8
4 x 60 = 240
4 x 400 = 1600
= 1,848
Use an area model to solve 458 x 4
1600 + 200 + 32 = 1,832
Solve 349 x 6
2,094
There are 19 markers in each box. A teacher buys 8 boxes.
Draw a bar diagram with equal groups to represent the problem. Write a multiplication equation and solve.
19 x 8 = 152 markers
Find the partial products for 3,452 x 6. Use a check to see if your answer is reasonable!
6 x 2 = 12
6 x 50 = 300
6 x 400 = 2400
6 x 3000 = 18,000
= 20,712
Check 3000 x 6. = 18,000. Yes it is reasonable
Use an area model to solve 2,347 x 3 . Check to see if your answer is reasonable. Explain why or why not it is reasonable.
6,000 + 900 + 120 +21 = 7,041
check: 2,000 x 3 = 6,000
Yes it is reasonable.
Solve 7,123 x 4
Check to see if your answer is reasonable.
28,492
check: 7,000 x 4 = 28,000
Yes it is reasonable.
Solve 6 x 900 using mental math. Then explain how you could use the answer to solve 6 x 901.
6 x 900 = 5400
6 x 900 equals 5400 , since it is 6 x 901 you multiply 6 x 900 which is 5400 then 6 x 1 which is 6, then add that together to get 5406.
A student solves 526 x 4 using these partial products:
500 x 4 = 200
20 x 4 = 80
6 x 4 = 24
The student says the answer is 304. Find the mistake, calculate the correct product, and explain how you know.
Correct product: 2,104. The student multiplied 500 x 4 incorrectly. They did not add the correct amount of zeros to their answer.
A student solved the following equation below using area model:
5,527 x 9
They broke down the equation below finding these partial products:
9 x 5,000 = 4500
9 x 500 = 450
9 x 20 = 180
9 x 7 = 63
After adding it up they said 5,527 x 9 = 5,157
Is there answer correct? If not, where is there error?
No the student is not correct. Their error is when they multiplied 9 x 5000. It equals 45,000 not 4,500. Also 9 x 500 equals 4,500 not 450. The correct answer is 49,743
A store sells a large TV for $1,149 and a small TV for $487. How much will 6 large TVs and 2 small TVs cost?
large = 6,894
small= 974
It will costs 7,868 dollars all together.
A theater has 6 rows with 248 seats in each row.
Draw a bar diagram to show the equal groups. Write an equation and then solve to find the total number of seats.
248 x 6 = 1,488 seats
A publishing company ships 6 boxes of books to a school. Each box contains 1,248 books. How many books were shipped in all?
Use partial products to find the total number of books shipped. Show each partial product, add them, check your work to see if your answer is reasonable and write a sentence answering the question.
There were 7,488 books shipped to the school in all.
A factory packs 6,245 toy pieces into each shipment container. It fills 4 containers.
Write an equation representing this multiplication equation. Then draw an area model to find the total number of toy pieces shipped.
6,245 x 4 = t
24,000 + 800 + 160 + 20 = 24,980 toys
Ridge Street Pizza makes 517 pizzas and 74 subs every day. How many total items are made in 3 days?
1,773 pizzas and subs are made in 3 days.
A school orders 7 boxes of pencils. Each box contains 198 pencils.
Draw a bar diagram to represent the problem.
Write a multiplication equation and calculate the exact total.
Estimate to see if your answer is reasonable
198 x 7 = 1,386 pencils
check: 200 x 7 = 1400 . Yes it is reasonable
A school district orders school supplies for their students. They order 326 notebooks, 500 pencils, 224 folders and 300 pens.
Each notebook costs 4$ , each pencil costs 1$ , each folder costs 3$ and each pen costs 2$.
How much did the school spend for all of the supplies?
notebooks = 1304
pencils = 500
folders = 672
pens = 600
total cost = 3,076 dollars