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Multiplication Properties
Distributive Property
Multiplying Tens, Hundreds, and Thousands
Estimate Products
Multiplication Problems
100

378 x 0 = 0

Zero Property

100

4 x 36

4 x (__ + __)

(4 x __) + (4 x __)

__ + __ = ___

4 x 36

4 x (30 + 6)

(4 x 30) + (4 x 6)

120+ 24 = 144

100

24 x 10

240

100

Use rounding to find the product:

5 x 49

250

100

65 x 2

130

200

2,897 x 1 = 2,897

Identity Property

200

3 x 21

3 x ( __ + __ )

( __ x 20) + ( 3 x __ )

__ + __ = __

3 x 21

3 x (20 + 1)

(3 x 20) + (3 x 1)

60 + 3 = 63

200

35 x 100

3,500

200

Use front-end estimation to solve:

4 x 36

120

200

127 x 4

508

300

54 x 78 = 78 x 54

Commutative Property

300

8 x 34

__ x (30 + __ )

(__ x 30) + ( __ x __)

___ + ____ = ____

8 x 34

8 x (30 + 4 )

(8 x 30) + (8 x 4)

240 + 32 = 272

300

15 x 2,000

30,000

300

Use rounding to solve:

8 x 55

480

300

2,479 x 6

14,874

400

5 x (6 x 7) = (5 x 6) x 7

Associative Property

400

5 x 72

5 x ( __ + __ )

(__ x __) + (__ x __)

__ + __ = ___

5 x 72

5 x (70 + 2)

(5 x 70) + (5 x 2)

350 + 10 = 360

400

7 x 800

5,600

400

Use front end estimation:

7 x 469

2,800

400

6,902 x 5

34,510

500

5 x 23 =

5 x (20+3)

(5 x 20) + (5 x 3)

100 + 15 = 115

Distributive Property

500

9 x 89

9 x 89

9 x (80 + 9)

(9 x 80) + (9 x 9)

720 + 81 = 801

500

20 x 150

3,000

500

Use rounding:

6 x 949

5,400

500

12,482 x 7

87,374