Multiplication Properties
Factors can be in any order and the product doesn't change.
Communicative Property
34 x 100
3,400
A number that tells how many times the factor is being multiplied.
Exponent
Solve: 78 x 4
312
Solve: 24 x 71
1,704
Grouping factors together in any order. The product stays the same.
Associative Property
1000 x 65
65,000
Write in Standard Form: 62
36
Solve: 182 x 5
910
Solve: 42 x 85
3,570
Multiply any number by 1 and it the product stays the same.
Identity Property
15 x 104
150,000
Write in Expanded Form: 57
5 x 5 x 5 x 5 x 5 x 5 x 5
Solve: 6,395(4)
25,580
Solve: 71 x 567
40,257
Multiply any number by zero and the product is zero
Zero Property
6 x 107
60,000,000
Write in Exponential Form: 7 x 7 x 7 x 7 x 7 x 7
76
Solve: 378 x 6
2,268
Solve: 58 x 32
1,856
Multiplying the addends by the number separately and then adding the products.
Distributive Property
935 x 100
93,500
True or False: 5 x 4 x 3 can be written in exponential form. Why?
False; All of the factors need to be the same digit.
Solve: 639 x 8
5,112
Solve: 1,563 x 42
65,646