Partial Products
Which of these partial products belong to this equation? 217 x 4
28, 35, 40, 170, 280, 800, 888, and 868
28, 40, 800
Convert the repeated addition into a multiplication sentence, and solve. 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 =
3 X 8 = 24
Explain how an array can help you solve multiplication problems.
It organizes the numbers in rows and columns and uses base-ten blocks so you don't have to draw 100 dots if your number is in the hundreds place.
5 x 5,000
5 x 5,000 = 25,000
500 x 5 = 2,500
Which of these partial products do you need to solve this equation? 419 x 6
60, 54, 600, 240, 300, 2,400, 480
54 + 60 + 2,400 = 2,514
Convert the repeated addition into a multiplication sentence, and solve.437 + 437 + 437 + 437 =
437 x 4 = 1,748
You can break numbers into smaller parts so they are easier to work with and then use the distributive property to solve the problem.
Draw a bar diagram to solve 4 x 72 = m and solve.
4 x 72 = m
m = 288
Estimate how many toes are in our school right now if there are 5,482 students and each student has 10 toes.
5,000 x 10 = 50,000
Solve 25 x 8 using partial products
40 + 160 = 200
Write and solve an equation. I have 5 teams with 15 people in each team.
5 x 15 = t
t = 75
Draw an array or area model to solve 391 x 6 =
391 x 6 = 2,346
Solve 25 x 4
25 x 4 = 100
Penelope wants to buy a house for each of her cats. A cat house costs $387, and she has 3 cats. How much money does she need to have to buy all three cats a house?
387 x 3 = $1,161
Solve 986 x 4 using partial products
24 + 320 + 3,600 = 3,944
Find 327 x 9
2,943
Draw an area model to solve 3 x 298
3 x 298 = 894
I know 40 x 8 = 320 and I know 700 x 8 = 5,600
5,600 + 320 = 5,920
Bodie is selling his dirt bike for $1,149 and his full-face helmet for $487. If Bodie had 3 dirt bikes, how much money would he make? If he had 4 helmets, how much money would he make?
1,149 x 3 = $3,447 for dirt bikes
487 x 4 = $1,948 for helmets
Solve 1,268 x 5 using partial products
40 + 300 + 1,000 + 5,000 = 6,340
Write and solve an equation to find how many cupcakes there are in total if I have 72 boxes and 8 cupcakes in each box.
72 x 8 = c
c = 576 cupcakes
Draw an array and find how many sodas I have if I have 8 sodas in a box and 17 boxes.
8 x 17 = 136
Explain how to use mental math to find how many points Julia scored in her dance routine in the last three months if each month she scored 195 points.
195 + 5 = 200
200 x 3 = 600
600 - 15 = 585
Mrs. Rachel has bags with 30 pieces of candy and bags with 60 pieces of candy. If she sells 5 bags of 30 and 6 bags of 60, how many pieces of candy did she sell?
510 pieces of candy