Arrays & the Distributive Property
June broke up a large array into a 3 x 4 array and a 5 x 4 array. What was the large array that June started with?
8 x 4 because 3 + 5 = 8. The 4 factor never changes, so we know it must have been 8 x 4.
Name the property is equation represents:
(3 x 8) + (1 x 8) = 4 x 8
The Distributive Property of Multiplication
Use the bake sale table to answer:
Ben sells 4 trays of granola bars in the morning and 4 trays of granola bars in the afternoon. How much money does he raise?
https://docs.google.com/presentation/d/1PL9Ilzmi5Qh1pdfkDFSmbi3UKn5uWQW2OXPwA0crGxA/edit#slide=id.p
Morning: 4 x 3 = 12
Afternoon: 4 x 3 = 12
Total: 12 + 12 = $24
He raised 24 dollars.
4 x 7 =
4 x 7 = 28
6 x 8 =
6 x 8 = 48
June broke up a large array into a 2 x 7 array and a 4 x 7 array. What was the large array that June started with?
(2 x 7) + (4 x 7) = (6 x 7)
The large array was 6 x 7.
Name the property this equation represents:
7 x 1 = 7
The Identity (One) Property of Multiplication
Use the Bake Sale Table to answer:
Question 2: Ben organizes the blueberry muffins into a 4 x 7 tray.
He breaks up the array of blueberry muffins into 2 arrays that look the same. Draw the two smaller arrays.
Array One: 2 x 7
Array Two: 2 x 7
7 x 5 =
7 x 5 = 35
3 x 10 =
3 x 10 = 30
June broke up a large array into a 6 x 2 array and a 3 x 2 array. What was the large array that June started with?
(6 x 2) + (3 x 2) = (9 x 2)
Name the property this equation represents:
5 x 0 = 0 x 5
Zero Property of Multiplication
Use the Bake Sale Table to answer:
2 friends each bought 3 trays of strawberry tarts. Ben says they spent more than $20 in total. Do you agree?
Friend 1: 3 x 4 = 12
Friend 2: 3 x 4 = 12
Total: 12 + 12 = 24
I agree. They spent 24 dollars, which is more than 20.
8 x 9 =
8 x 9 = 72
6 x 7 =
6 x 7 = 42
June broke up a large array into a 7 x 4 array and a 1 x 4 array. What was the large array that June started with?
(7 x 4) + (1 x 4) = (8 x 4)
The large array was 8 x 4.
True or False:
3 and 8 are multiplies of 24
False - 24 is a multiple of 3 and a multiple of 8
Question 4: Alice bought 2 trays of blueberry muffins. Tom bought 3 trays of granola bars. Who spent more money?
Alice: 2 x 6 = 12
Tom: 3 x 3 = 9
Alice spent more money.
4 x 8 =
4 x 8 = 32
3 x 2 =
3 x 2 = 6
June broke up a large array into a 10 x 5 array and a 2 x 5 array. What was the large array that June started with?
(10 x 5) + (2 x 5) = (12 x 5)
The large array is 12 x 5.
True or False:
There are 3 factors in the equation 5 x 3 x 2 = 30.
True- the factors are 5, 3, and 2
I want to buy 3 tray of blueberry muffins, 3 trays of strawberry tarts, and 5 trays of granola bars. How much money do I need?
3 x 6 = 18
3 x 4 = 12
5 x 3 = 15
18 + 12 + 15 = 45. I will need 45 dollars.
8 x 3 =
8 x 3 = 24
6 x 4 =
6 x 4 = 24