All Kinds of Multiplication
Estimate the product of the following problem.
27 x 13 = ?
What is 300?
30 x 10 = 300
What is the first step to this multiplication problem?
9 x (100 + 50 + 5) ?
What is 9 x 100?
1. 9 x 100
2. 9 x 50
3. 9 x 5
4. Add the partial products together.
One of the numbers in a multiplication problem is called a __________.
What is a factor?
Split the two factors into tens and ones.
45 x 61
What is 40 + 5 and 60 + 1?
Find the product.
There are 6 blue seats and 7 white seats in the auditorium. There are 5 rows.
How many seats are there in total in the auditorium?
What is 75 seats?
6 + 7 = 15
15 x 5 = 75
Estimate the product of the following problem.
5,596 x 7 = ?
What is 42,000?
6,000 x 7 = 42,000
What is the first step to the following problem?
Miss Cardin gives 3 presents to everyone in her family. She has 42 women and 17 family members. How many presents did she give in all this Christmas?
What is multiply add 42 and 17 to find the total number of family members that Miss Cardin has?
1. Add 42 + 17.
2. Multiply 3 x 59 to find the total product.
The name of the answer to a multiplication problem is the ________.
What is the product?
Create an area model for 79 x 20.
What is:
Find the product of the following problem.
There are 8 girls and 9 boys in a group of students going on a field trip. There are 10 groups.
There is an equal amount of students in all of the groups.
How many students are there in total on the field trip?
What is 170 students?
8 + 9 = 17
17 x 10 = 170
Find the product. Use any of the following methods: distributive property, expanded form, and the standard algorithm.
672 x 4 = ?
What is 2,688?
Example: Distributive Property
4 x (600 + 70 + 2) = 2,400 + 280 + 8 = 2,688
What is the first step to this problem? (also, solve for it!)
Estimate. Then find the product.
40 x 99 = ?
What is estimate, 40 x 100 = 4,000?
1. Estimate (40 x 100)
2. Multiply 40 x 99 using any multiplication strategy.
The ______ __________ of multiplication is division.
What is inverse operation?
Create an area model for 7 x 8,445.
What is:
Sean played an arcade game three times.
He got 300 points the first time, 90 points the second time, and only 4 points the third time.
He got the same amount of points for 5 visits in a row. How many points did he score after playing the game at those 5 separate visits?
What is 1,970 points?
300 + 90 + 4 = 394 x 5
5 x 300 = 1,500; 5 x 90 = 450; 5 x 4 = 20
1,500 + 450 + 20 = 1,950 + 20 = 1,970
Find the product. Use any of the following methods: distributive property, expanded form, and the standard algorithm.
35 x 88 = ?
What is 3,080?
35 x (80 + 8)
(35 x 80) + (35 x 8)
(30 x 80) + (5 x 80) + (30 x 8) + (5 x 8)
2,400 + 400 + 240 + 40 = 3,080
Write out each step of the "3 step action plan" for this problem.
4 x 18
What is:
4 x (10 + 8)
1. 4 x 10 = 40
2. 4 x 8 = 32
3. 40 + 32 = 72 ?
This problem has three _______ __________.
Ex. 4 x 272
1. 4 x 200 = 800
2. 4 x 70 = 280
3. 4 x 2 = 8
What is partial products?
Create an area model for 16 x 16. Solve by finding the partial products and the final answer.
What is:
(model) and 10 x 10, 10 x 6, 10 x 6, 6 x 6
What is 100 + 60 + 60 + 36 = 100 + 120 + 36
What is 256?
There are 38 seats of Patriots fans sitting in 72 rows.
There are 46 seats of Steelers fans sitting in 55 rows.
How many Patriots fans are at the game?
How many Steelers fans are at the game?
What is 2,736 Patriots fans and 2,530 Steelers fans?
Estimate and find the product. Use any of the following methods: distributive property, expanded form, and the standard algorithm.
41 x 76 = ?
What is 3,200 and 3,116?
40 x 80 = 3,200; 41 x (70 + 6)
(41 x 70) + (41 x 6)
(40 x 70) + (1 x 70) + (40 x 6) + (1 x 6)
2,800 + 70 + 240 + 6 = 3,116
Number and solve each step of the 3 step action plan for this word problem:
Each of the 4 4th grade teachers has 10 girls and 9 boys in their classes. Each student was given 6 pieces of candy before Christmas break. How many pieces of candy was given out in total for 4th grade?
What is:
1. Add 10 + 9 (10 + 9 = 19)
2. Multiply 19 x 4 (10 x 4 = 40, 9 x 4 = 36; 40 + 36 = 76).
3. Multiply 76x4 (70x4=280; 6x4=24; 280+24=304)
The name of how you would start and work through a problem to find the answer is called your math _______ ________.
What is your action plan?
Create an area model for 468 x 3. Solve finding the partial products and the answer.
What is:
3 x (400 + 60 + 8)
3 x 400 = 1,200; 3 x 60 = 180; 3 x 8 = 24
1,200 + 180 + 24
1,404?
There are 38 seats of Patriots fans sitting in 72 rows.
There are 46 seats of Steelers fans sitting in 55 rows.
Who has more fans at the game: Patriots fans or Steelers fans?
What is the difference in fan numbers?
What is: 2,736 Patriots fans and 2,530 Steelers fans (more Patriots fans)
2,736 - 2,530 = 206 fans