Additive and Multiplicative Comparisons
Write an equation
7 more than 6 is 13.
7 + 6 = 13
If 6 x 3 = 18
6 x 30 = ?
6 x 300 = ?
6 x 3,000 = ?
If 6 x 3 = 18
6 x 30 = 180
6 x 300 = 1.800
6 x 3,000 = 18,000
Write the following in both equations of expanded form. (Do not Solve.)
6 x 916
6 (900 + 10 + 6)
(6 x 900) + (6 x 10) + (6 x 6)
Using Partial Products: Solve
8 x 23
8 x 20 = 160
8 x 3 = 24
160 + 24 = 184
Write an equation
32 is 8 times as many as 4.
32 = 8 x 4
or
8 x 4 = 32
If 8 x 70 = 560
8 x 7 = ?
8 x 700 = ?
8 x 7,000 = ?
If 8 x 70 = 560
8 x 7 = 56
8 x 700 = 5,600
8 x 7,000 = 56,000
Write the following in both equations of expanded form. (Do not Solve.)
7 x 1,249
7 (1,000 + 200 + 40 +9)
(7 x 1,000) + (7 x 200) + (7 x 40) + (7 x 9)
Using Partial Products: Solve
5 x 213
5 x 200 = 1,000
5 x 10 = 50
5 x 3 = 15
1,000 + 50 + 15 = 1,065
Write a Comparison sentence
5 × 9 = 45
_ times as many as _ is _.
5 times as many as 9 is 45.
Estimate:
8 x 37 = ?
8 x 40 = 320
Write the following in both equations of expanded form. Then Solve.
3 x 526
3 (500 + 20 + 6)
(3 x 500) + (3 x 20) + (3 x 6)
1,500 + 60 + 18 = 1,578
Using Partial Products: Solve
9 x 421
9 x 400 = 3.600
9 x 20 = 180
9 x 1 = 9
3,600 + 180 + 9 = 3,789
Draw a model and write an equation for the comparison sentence.
12 is 2 times as 6.
Equations: 12 = 2 x 6
Draw Model:
Estimate:
9 x 275 = ?
9 x 300 = 2,700
Use the Distributive Property to solve.
3 x 629
Draw Box.
Product: 1,887
Using Partial Products: Solve
2 x 5,239
2 x 5,000 = 10,000
2 x 200 = 400
2 x 30 = 60
2 x 9 = 18
10,000 + 400 + 60 + 18 = 10,478
Draw a Bar Model and Solve.
Randy has 3 times as many shirts than Joe. Together they have 20 shirts.
1) How many shirts does Randy have?
2) How many shirts does Joe have?
3) How many more shirts does Randy have?
Bar Model - Ms. Parker draw
Randy:
Joe:
1)
2)
3)
Estimate:
4 x 8,294 = ?
4 x 8,000 = 32,000
Use Distributive Property to Solve:
8 x 1,630
Draw Box
Product: 13,040
Using Partial Products: Solve
8 x 1,539
8 x 1,000 = 8,000
8 x 500 = 4,000
8 x 30 = 240
8 x 9 = 72
12,312