Unit 2 Practice Packet
2.1 I can identify values of digits in a multi-digit number
1. I am a 5-digit number.
My 4 is worth 4 * 10,000
My 5 is worth 5,000
One of my 3’s is worth 30
The other 3 is worth 10 times as much
My other digit is 8.
What number am I?
___ ___ , ___ ___ ___
2.
I am a 5-digit number.
My 5 is worth 5 * 10,000
My 6 is worth 6,000
One of my 4’s is worth 40
The other 4 is worth 10 times as much
My other digit is 9.
What number am I?
___ ___ , ___ ___ ___
3.
I am a 5-digit number.
My 3 is worth 3,000
My 2 is worth 2 * 10,000
One of my 1’s is worth 10
The other 1 is worth 10 times as much
My other digit is 6.
What number am I?
___ ___ , ___ ___ ___
4.
I am a 5-digit number.
My 8 is worth 8,000
My 7 is worth 7 * 10,000
One of my 6’s is worth 60
The other 6 is worth 10 times as much
My other digit is 9.
What number am I?
___ ___ , ___ ___ ___
5. I am a 6-digit number.
One of my 6’s is worth 600,000
The other 6 is worth 1/10th as much.
My 7 is worth 7[100’s]
My 8 is worth 80
My other digits are 0.
What number am I?
___ ___ ___ , ___ ___ ___
6. I am a 6-digit number.
My 5 is worth 5 [100’s]
My 6 is worth 6[10’s]
One of my 4’s is worth 400,000
The other 4 is worth 1/10th as much.
My other digits are 2.
What number am I?
___ ___ ___ , ___ ___ ___
7. I am a 6-digit number.
My 7 is worth 7[10’s]
One of my 5’s is worth 5[100,000’s]
The other 5 is worth 1/10th as much.
My 9 is worth 9 [100’s]
My other digits are 3.
What number am I?
___ ___ ___ , ___ ___ ___
8. I am a 6-digit number.
One of my 2’s is worth 200,000
The other 2 is worth 1/10th as much.
My 3 is worth 3[100’s]
My 4 is worth 40
My other digits are 2.
What number am I?
___ ___ ___ , ___ ___ ___
2.2
I can convert between standard and exponential notation and explain
relevant patterns.
Standard Notation
Products of 10
Exponential Notation
10,000
10*10*10*10
10
1,000
10*10*10*10*10
100
10,000,000
4
10. Joe and Ida were playing High-Number Toss. They created the
numbers shown below. Write each player’s number in standard
notation. Circle the player who won the round.
Joe: 624 ∗ 10
Ida: 155 ∗ 10
Standard notation: ________________
Standard notation: ________________
4
5
11. Jane and Irene were playing High-Number Toss. They created
the numbers shown below. Write each player’s number in standard
notation. Circle the player who won the round.
Jane: 532 ∗ 10
Irene: 213 ∗ 10
4
5
Standard notation: ________________
Standard notation: ________________
12. Jeff and Amy were playing High-Number Toss. They created the
numbers shown below. Write each player’s number in standard
notation. Circle the player who won the round.
Jeff: 415 ∗ 10
Amy: 512 ∗ 10
6
4
Standard notation: ________________
Standard notation: ________________
b. Explain how you wrote each number in standard notation.
_______________________________________________________
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13. Write the number 3,685,179 in expanded form.
_______________________________________________________
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14. Write the number 1,463,057 in expanded form.
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15. Write the number 2,563,175 in expanded form.
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I can convert between units of weight and length using the US
2.6 customary system of measurement.
16. Convert pounds to ounces to complete the table.
pounds ounces
1
16
2
4
7
10
17. Write an expression with grouping symbols to model the
number story. Then solve.
Ann’s new puppy weighs 8 pounds. His collar weighs 4 ounces.
What is the total weight of the puppy and his collar in ounces?
Number model: ____________________________
Answer: ________ ounces
18. Write an expression with grouping symbols to model the
number story. Then solve.
Adam is shipping a gift to his cousin. The gift weighs 2
pounds. The box and shipping materials weigh an additional 8
ounces. What is the total weight of the package in ounces?
Number model: ____________________________
Answer: ________ ounces
19. Write an expression with grouping symbols to model the
number story. Then solve.
Amy is shipping a gift to her cousin. The gift weighs 3
pounds. The box and shipping materials weigh an additional 4
ounces. What is the total weight of the package in ounces?
Number model: ____________________________
Answer: ________ ounces
2.4 &
2.5
2.7, 2.8
& 2.9
I can use the traditional multiplication algorithm to multiply
multi-digit numbers by 1-digit numbers.
I can use the traditional multiplication algorithm to multiply
multi-digit numbers in mathematical and real world
problems.
20. Jim collects cans for recycling. When he has 1,000 cans, the
recycling center will pick them up from his house. Jim has 100 bags
with about 20 cans in each bag. Should he call the recycling center
to arrange a pick-up? ________
Explain how you know.
_______________________________________________________
______________________________________________________
_______________________________________________________
21. Molly collects cans for recycling. When she has 1,200 cans, the
recycling center will pick them up from her house. Jim has 100 bags
with about 15 cans in each bag. Should she call the recycling center
to arrange a pick-up? ________ Explain how you know.
_______________________________________________________
_______________________________________________________
_______________________________________________________
21a. Did you have to find an exact answer to solve Problem
21? _______
Explain why or why not?
_______________________________________________________
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22. Bill collects cans for recycling. When he has 2,000 cans, the
recycling center will pick them up from his house. Jim has 150 bags
with about 10 cans in each bag. Should he call the recycling center
to arrange a pick-up? ________
Explain how you know.
_______________________________________________________
______________________________________________________
_______________________________________________________
23. Make an estimate for each problem. Then solve. Use U.S.
traditional multiplication for these problems. Use your estimate to
check whether your answer makes sense.
a.
263 * 9 = ?
37 * 12 = ?
Estimate: ________________
Estimate: __________
Solve:
263
x 9
b. 464 * 9 = ?
Estimate: ________________
Solve:
464
x 9
3 7
x 12
48 * 11 = ?
Estimate: _________
48
x 11
2.11 &
2.12
24.
I can use the traditional algorithm to divide whole
numbers .
605/2 = ?
Estimate: _______________
955/25 = ?
Estimate: __________
Solve:
605/2 = ________ R ______
25. 426/4 = ?
Estimate: _______________
_______________
955/25 = ? _______ R ____
935/25 = ?
Estimate:
Solve:
426/4 = ________ R ______
935/25 = ? _______ R
____
26.
Create a mathematical model for the problem. Then solve the
problem and show your work. Explain how you decide what to
do with the remainder.
Jim is helping out in the school library. He needs to figure out
how many shelves the library staff should order for a new
reading corner. There are 278 books for the reading
corner. Each shelf holds 50 books. The librarian wants to put
all the books on shelves. How many shelves should the library
order?
Picture Model:
Quotient: __________ Remainder: ___________
What does the remainder represent?
_______________________________________________________
______________________________________________________
_______________________________________________________
Answer: The library should order _________ shelves.
Circle what you did with the remainder:
Ignored it
Rounded the quotient up
Why?
__________________________________________________
_____
______________________________________________________
_______________________________________________________
27.
Create a mathematical model for the problem. Then solve the
problem and show your work. Explain how you decide what to
do with the remainder.
Bob is helping out in the school library. He needs to figure out
how many shelves the library staff should order for a new
reading corner. There are 365 books for the reading
corner. Each shelf holds 50 books. The librarian wants to put
all the books on shelves. How many shelves should the library
order?
Picture Model:
Quotient: __________ Remainder: ___________
What does the remainder represent?
_______________________________________________________
______________________________________________________
_______________________________________________________
Answer: The library should order _________ shelves.
Circle what you did with the remainder:
Ignored it
Rounded the quotient up
Why?
_______________________________________________________
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