Vocabulary
Decompose Numbers
Partial Products
Estimate and Multiples of 10, 100, 1,000
Word Problems
100
Writing 4 x (10 + 8) as (4 x 10) + (4 x 8) shows application of the _________________________.
factor, decompose, product, area model, distributive property, variable
Writing 4 x (10 + 8) as (4 x 10) + (4 x 8) shows application of the distributive property.
100
Decompose the number 45
45 decomposed is 40 + 5
100
For the equation 3 x 28, if I were to create an area model to solve it, how many partial products would there be?
2 partial products
3 x 20 = 60
3 x 8 = 24
100
What is a reasonable estimate of the product 4,921 and 5?
4,921 x 5 is about 25,000
5,000 x 5 = 25,000
100
Elijah builds a raised garden that is 9 yards wide and 32 yards long. What is the area of the garden?
32 x 9 = (30 x 9) + (2 x 9)
32 x 9 = 270 + 18
32 x 9 = 288 square yards
200
The partitioned areas inside an area model represent ________________________.
factor, decompose, product, area model, distributive property, variable
The partitioned areas inside an area model represent partial products.
200
Decompose the number 286
286 decomposed is 200 + 80 + 6
200
For the equation 43 x 85, if I were to create an area model to solve it, how many partial products would there be?
4 partial products
40 x 80 = 3,200
40 x 5 = 200
3 x 80 = 240
3 x 5 = 15
200
Kate read for 50 minutes every day for 30 days. How many total minutes did she read?
50 x 30 = 1,500 minutes
200
Carla plans to save $289 each month for 6 months. How much money will she save?
289 x 6 = (200 x 6) + (80 x 6) + (9 x 6)
289 x 6 = 1,200 + 480 + 54
289 x 6 = $1,734
300
To _________________ 26 by place value means to write it as 20 + 6.
factor, decompose, product, area model, distributive property, variable
To decompose 26 by place value means to write it as 20 + 6.
300
Decompose the number 2,973
2,973 decomposed is 2,000 + 900 + 70 + 3
300
Find all 4 partial products for the area model below.
30 x 20 = 600
7 x 20 = 140
30 x 3 = 90
7 x 3 = 21
300
Rodney swims 400 meters in the local pool. John swims 3 times farther than Rodney. How many meters does John swim?
400 x 3 = 1,200 meters
John swims 1,200 meters
300
A shelf contains 142 boxes of erasers. Each box contains 4 erasers. How many erasers are on the shelf?
142 x 4 = (100 x 4) + (40 x 4) + (2 x 4)
142 x 4 = 400+ 160 + 8
142 x 4 = 568 erasers
400
Given 32 x 46 = 1,472, the number 1,472 is called the ______________.
factor, decompose, product, area model, distributive property, variable
Given 32 x 46 = 1,472, the number 1,472 is called the product.
400
Decompose the number 48,291
48,291 decomposed is 40,000 + 8,000 + 200 + 90 + 1
400
For the equation 273 x 43, if I were to create an area model to solve it, how many partial products would there be?
6 partial products
200 x 40 = 8,000
200 x 3 = 600
70 x 40 = 2,800
70 x 3 = 210
3 x 40 = 120
3 x 3 = 9
400
A restaurant is selling tacos for $3. The restaurant manager expects to sell 308 tacos in one day. What is the best estimate for how much money the restaurant manager can expect to bring in on taco dinners in one day?
308 is about 300 so...
300 x 3 = $900
The manager can expect to bring in about $900 in one day.
400
Mandy receives 1,375 points for each level completed in an online math game. She completes 6 levels. How many points does she receive. Use partial products to solve.
6 x 1,375 = (6 x 1,000) + (6 x 300) + (6 x 70) + (6 x 5)
6,000 + 1,800 + 420 + 30 = 8,250 points
500
A(n) ____________________ may be used to find partial products.
factor, decompose, product, area model, distributive property, variable
A(n) area model may be used to find partial products.
500
Decompose the number 1,294,532
1,294,532 decomposed is 1,000,000 + 200,000 + 4,000 + 500 + 30 + 2
500
Use and area model to find all the partial products and solve the equation.
52 x 79 =
3500 + 140 + 450 + 18 = 4,108
500
What is the product?
40 x 9,000 = ?
40 x 9,000 =360,000
500
Rachel buys building supplies for her shop. A box of nails costs $6 and a sheet of plywood costs $11.
What is the total cost of 15 boxes of nails and 18 sheets of plywood? Write an equation to solve
C =. (6 x 15) + (11 x 18)
C = $288