Multiplication Properties
Which property is shown by the problem below?
4 x 5 = 20
5 x 4 = 20
Commutative Property
Use front end estimation to estimate the product.
4 x 23
80
3 x 100
300
Write the multiplication equation for the comparison.
24 is 4 times as many as 6
24 = 4 x 6
Tommy says that 2 x 8 is the same as 8 x 2. Is he correct? Explain why!
Yes, because the commutative property of multiplication states you can flip flop the numbers and get the same answer.
Which property is shown by the problem below?
248 x 1 = 248
Identity Property
Use front end estimation to estimate the product.
3 x 62
180
5 x 1,000
5,000
Write the multiplication equation for the comparison.
45 is 5 times as many as 9.
45 = 5 x 9
Harper says that 8 x 0 = 8. Is she correct? Explain why!
Which property states that anything times zero equals zero?
Zero Property
Use rounding to estimate the product.
5 x 78
400
9 x 9,000
81,000
Find the product:
3 times as many as 3
9
Ms. Curtis is baking 3 sheets of Christmas cookies. Each sheet holds 12 cookies. Round to the nearest ten to find about how many cookies she is making.
3 x 10 = 30 cookies
Which property states that changing the grouping of the numbers does not change the answer?
Associative Property
Use rounding to estimate the product.
2 x 49
100
4 x 8 tens
320
Find the product.
5 times as many as 11
55
Mrs. Reel uses front end estimation to find the answer to 4,589 x 6. She says her answer is 30,000. Is Mrs. Reel correct or incorrect? Explain!
Which property is shown by the problem below?
3 x (9 + 6) = (3 x 9) + (3 x 6)
Distributive Property
Use rounding to estimate the product.
nine times thirty one
270
7 x 4 thousands
28,000
Find the product.
7 times as many as 8
56
A cafe has 4 rows of 13 tables. What multiplication expression represents the total number of seats? Use the Distributive Property to find the total number of seats.
Part 1: 4 x 13 = a
Part 2: 4 x (10 + 3)
4 x 10 = 40
4 x 3 = 12
40 + 12 = 52 seats