Properties!
Patterns of X
Estimate 0's
In the Multiplicand
100

5 x ( 3 x 1 ) = ( 5 x 3 ) x 1 

Associative Property

100

Finish the Product 

10 x 7 = ____

100 x 70 = ______

70 

700

100

     8 8 

x   5 1 

________

4500

100

6 0 1 1 

x       8 

________

48,088

200

What does the identity property of multiplication say ?

the product of a 1 and a number is the same as that number 

200

10 x 80 = ______

10^2 x 80 = ______

800

8000

200

    2. 2 5 

x         7 

____________

14 

200

2 3 , 0 1 6 

x           5 

___________

115 , 080

300

6 x ( 2 + 5 ) = (6 x 2 ) + (6 x 5 )

Distributive Property 

300

Multiply 

   70 

x 40 

_______

2,800

300

2 2 x 3 8 

800

300

2 x 5 2 0 9 

1 0 , 4 1 8 

400

What does the zero property of multiplication mean ?

The product of zero and a number is zero

400

50,000 X 60

3,000,000

400

25 + 31 + 32 + 31 + 28 + 34 + 31 + 29 + 29

270

400

4 x 2 0 , 8 5 9 

8 3 , 4 3 6 

500

In New York , Hayley and Kelly visit the same number of musesums. Hayley visits 2 museums during each of her 3 days there. If Kelly visits 3 museums a day , how many days is her trip ? What property could you use to solve.

3  x 2 = 2 x 3 

Communitive Property 

500

60 times a multiple of 2

sample answer 60 x 4

500

Write 4 addends with a estimated sum of 240 using clustering

sample answer 

58 + 62 + 59 + 63

500

Suppose you multiply by a one digit number that is not zero. Will there always be the same number of zeros in the product as there are in the multiplicand ? Use an example to justify your answer.

No , sample explanation : 425 x 4 = 1700 has two zeros

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