Place Value
What is the value of the 7 in the following number: 2,791
700
How many units are needed to bundle? For example if I have 16 tens, how many are bundled to create one hundred?
Ten units.
What is one difference of the standard algorithm compared to partial products?
Possible multiple answers
Looking at the equation 612 x 7, what are my three multiplication problems I will solve?
(Hint: the second problem of the three in total, I will solve is 10 x 7 (1 ten x 7).
2 x 7
10 x 7
600 x 7
True or False: Each number is multiplied according to its place value when using partial products multiplication.
Question to consider: When multiplying 71 x 2, am I multiplying 7 x 2 OR 70 x 2?
True
Create a place-value chart to solve this problem: 37 x 4
148
When bundling, which way does the bundle move on the place-value chart? Left or right?
(Remember, moving to the left means a bigger value, and moving to the right means a smaller value.)
Move to the left
Solve the problem using standard algorithm: 24 x 3
72
Solve the following problem using partial products: 68 x 4
272
Solve the following problems: 25 x 4
100
Create a place value chart to solve this problem: 81 x 9
729
Use a place-value chart to answer the following bundling question: When I bundle ten hundreds to create one thousand, I am left with ___ hundreds: 1,200 x 5
0 hundreds
2 parts:
A. What is 26 x 4?
B. There are more than 9 ones when solving this problem. Where does the extra go in the answer?
A. 104
B. There ends up being 24 ones. 20 of those ones are bundled to represent 2 tens. I put these 2 tens above the “2” in 26, so I can add it to the answer of 2 x 4.
Solve the following problem using partial products: 123 x 2
246
Solve the following problem using partial products: 801 x 9
7,209
Create a place-value chart to solve this problem: 361 x 3
1,083
Create a place value chart to answer the following question: How many ones are bundled to be moved to the tens place: 185 x 5?
20 ones or 2 bundles
Solve using the standard algorithm: 108 x 8
864
Solve the following problem using partial products: 1,247 x 5
6,235
Solve the following problem using partial products: 1234 x 7
8,638
Create a place-value chart to answer the following problem: 3,701 x 2
7,402
What is the purpose of bundling?
A. To group bigger numbers to create a smaller number.
B. To group smaller numbers to represent a larger place-value.
C. To make my teacher happy
To group smaller numbers to represent a larger place-value.
Solve using the standard algorithm: 9,535 x 9
85,815
Use partial products to solve the following problem:
Billy has asked 4 classes what their favorite dessert is. Each class has 31 students in the class. How many students will Billy have to ask in total to get every answer?
124 students
Mr. Pounds’ dog Laney loves goldfish. If Laney receives 9 pieces of goldfish a night for 35 nights, how many total pieces of goldfish does Laney eat?
315 pieces of goldfish