Properties of Multiplication
Multiplication Patterns
Estimate Products
Multiply 3 digit numbers
Zeros in the Multiplier
100

The product of zero and a number is zero.

What is the Zero Property of multiplication?  

100

900 x 7 =

6,300

100

22 x 38 =

800

100

244 x 152 =

37,088

100

457 x 320 =

146,240

200

The product of one and a number is the same as that number.  

What is the Identity Property of Multiplication?

200

800 x 60 =

48,000

200

81 x 18 =

1,600

200

420 x 135 =

56,700

200

936 x 400 =

374,400

300

Changing the orders of factors does not change the product.  

What is the Commutative Property of Multiplication?

300

4,000 x 20 =

80,000

300

68 x 41 =

2,800

300

305 x 271 =

82,655

300

869 x 502 =

436,238

400

Changing the grouping of factors does not change the product.

What is the associative Property of Multiplication? 

400

800 x 300 =

240,000

400

217 x 51 =

10,000

400

360 x 417 = 

150,120

400

947 x 730 = 

691,310

500

When the same factor is distributed across across two addends, the product does not change.  

What is the Distributive Property of Multiplication?

500

20,000 x 6,000 = 

120,000,000

500

$5.12 x 81 = 

$400

500

1327 x 441 =

585,207

500

898 x 804 =

721,992