Factors and Products
Define factors and product.
Factors = the two (or more) numbers you multiply together in an equation
Product: the total you get for your answer in a multiplication equation
Define the Identity Property of Multiplication
When you multiply a number by 1, you just get that number. For example, 7 x 1 = 7
What operations does the Distributive Property require you to use?
Multiplication AND addition
100 x 8
800
Round 652 to its nearest hundred.
700
Identify the factors in:
10 x 6 = 60
10 and 6
Name the property used:
8 x 0 = 0
Zero property
Solve the following problem using the distributive property:
2 x (5 + 6)
(2 x 5) + (2 x 6) = 22
Solve using patterns of multiplication:
10 x 3
100 x 3
1000 x 3
10,000 x 3
30
300
3,000
30,000
Round to estimate each product:
67 x 12
70 x 10 = 700
Identify the factors in:
2 x (3x6) = 36
2, 3, and 6
Identify the missing factor and property used:
8 x (9 x 1) = (____ x 9) x 1
8, associative property
Find the missing factor in:
4 x (2+8) = (____ x 2) + (4 x 8)
4
Solve:
20 x 80
200 x 80
2,000 x 80
1,600
16,000
160,000
Round to estimate each product:
782 x 456
800 x 500 = 400,000
Rewrite the following as a multiplication equation. Name the factors and products.
8+8+8+8+8+8+8+8
8 x 8 = 64
Factors are 8, product is 64
Identify the missing factor and property used:
(4 x 2) x 4 = ____ x (2 x 4)
4, associative
Find the missing factor in:
8 x (2 + 9) = (8 x 2) + (8 x ____)
9
Find the product:
20 x 40 x 900
720,000
Round to estimate the product of:
692+703+711+691+708
700 x 5 = 3,500
When you multiply 7 by itself, what is the product?
49
How are the Commutative and Associative properties different?
The Commutative Property states that if you switch the order of the factors, the product stays the same. The Associative Property states that if you switch the grouping of the parentheses around the factors, the product stays the same.
Find the missing factors in:
5 x (6+7) = (____ x ____) + (____ x ____)
Read the word problem and solve:
There are 60 packages of paper. Each package contains 500 sheets of paper. How many sheets of paper are there in total?
500 x 60 = 30,000
One box of oranges weighs 48 pounds. Will 550 boxes of oranges weigh less than 25,000 pounds?
50 x 600 = 30,000
No