NAME _______________KEY_________________________ HOMEROOM ______COLLINS______
DATE __________________________
PARENT SIGNATURE & DATE (BONUS PTS.) ________________________________________________________________
UNIT 1: NUMBER & OPERATIONS IN BASE 10 STUDY GUIDE
Directions: Fill in the blanks or bubble in the circle with the correct answer to each question. Feel free to use a scrap
sheet of paper to help you work out the problems. These problems are similar to what you will see on your
test.
1. Alan heard on the news that eight hundred
sixty-two thousand three hundred ninety-one
people bought Ford trucks last year. Write
this number in expanded and standard form.
__862, 391 (standard form)______________
__800,000 + 60,000 + 2,000 + 300 + 90 + 1 _
(expanded form)
2. How many times greater is the 7 in the tens
place than the 7 in the ones place in this
number?
645,377
_10 times greater_
3. How many times greater is the 2 in the
hundreds place than the 2 in the ones place
in this number?
743,252
4. A worker for the local post office travels 7
miles to deliver the mail on Monday.
Tuesday's route has her driving 42 miles.
How many times as long is the worker's route
on Tuesday as it was on Monday?
(42 ÷ 7 = 6)
5. A deep-sea fisherman went fishing 14 times
last month. He caught 78 fish each time.
How many fish did he catch all together last
month?
_1,092 fish_
3
78
x 14
312
+ 780
1,092
6. What is the missing number in the sentence?
8 x (__ x 7) = (8 x 9) x 7
____9____
O
O
O
O
(10 + 7) x (4 + 4)
(10 + 7) + (4 + 4)
(10 x 7) x (4 x 4)
(10 x 4) + (7 x 4)
8. Marcus is reading a book that has 72 pages
and 8 chapters. If there are an equal number
of pages in each chapter, how many pages
are in each chapter?
__9 pages___
(72 ÷ 8 = 9)
9. On Friday, Toby read 84 pages of his book.
That is 12 times the number of pages he read
on Thursday. How many pages of his book
did he read on Thursday?
__7 pages__
_100 times greater_
_6 times_
7. Which number sentence is the same as this
sentence?
17 x 4 = ___
10. Multiply.
(84 ÷ 12 = 7)
4 x 600 = __2,400__
11. Which sentence is true?
O
O
O
O
854,376 > 845,763
591,635 < 591,536
675,905 > 678,132
459,804 > 495,408
12. Which number has the digit 5 in the tenthousands place and the digit 2 in the
hundreds place?
O
O
O
O
354,927
251,832
415,207
857,283
13. A blue dress costs $8. A red dress costs 6
times as much as the blue dress. How much
does the red dress cost?
___$48___
($8 x 6 = $48)
14. Multiply. 2625 x 6 = __15,750__
313
2625
x
6
15,750
15. Which correctly shows another way to
write this number sentence? 32 x 8 = ___
O
O
O
O
Lemonade Sales
Number of Cups
Month
Sold
June
1,438
July
4,899
August
2,145
(30 + 8) x (2 + 8)
(30 x 8) + (2 x 8)
(30 + 8) + (2 + 8)
(30 x 8) x (2 x 8)
16. This week, Cathy baked 42 brownies. That
was 7 times as many brownies as she baked
last week. How many brownies did Cathy
bake last week?
_6 brownies_
(42 ÷ 7 = 6)
17. Wade wants to give 412 of his marbles to 4
of his friends. If he gives each friend the
same number of marbles, about how many
will each friend receive?
_103 marbles_
(412 ÷ 4 = 103)
18. Which correctly shows the multiplicative
identity property of 1?
O
O
O
O
22. Paula’s family sells lemonade at county fairs
during the summer. The chart below shows
how many cups of lemonade they sold each
month.
24 x 3 = 3 x 24
0 x 77 = 0
2 x (28 x 7) = (2 x 28) x 7
84 x 1 = 84
19. Divide.
200
x 8
1,600
1,600 ÷ 200 = ____8____
20. Australia has 47,738 kilometers of railway.
Japan has 23,556 kilometers of railway.
How many more kilometers of railway does
Australia have compared to Japan?
6 13
__24,182__
47,738
- 23,556
24,182
21. Last Christmas Craig had $624 to spend on
gifts for family and friends. After carefully
shopping for deals, he ended up spending a
total of $379. How much money did Craig
have left after all his shopping?
__$245__
5 11 14
$624
- 379
$245
Which is the best estimate of the total
number of cups of lemonade sold?
O
O
O
O
7,000
8,000
9,000
6,000
23. The fourth graders are helping raise money
for the local animal shelter. So far they have
made $2,187 in bake sales and $4,263 in Tshirt sales. How much money have they
earned in all?
__$6,450__
24. Put the states in order from the least
populated to most populated state.
11
$4,263
+ 2,187
$6,450
The Five Least Populated States
State
Population (2010)
Alaska
721,523
North Dakota
675,905
South Dakota
819,761
Vermont
630,337
Wyoming
568,300
__Wyoming
__Vermont
__North Dakota
__Alaska
__South Dakota
568,300___
630,337___
675,905___
721,523___
819,761___
25. What is the standard form of
1,000 + 400 + 6?
_____1,406_____
11
2,189
+ 5,388
7,577
26. There are 2,189 students at Eastern High
School. There are 5,388 students at
Western High School. How many students
are there at both high schools combined?
__7,577__
SHORT RESPONSE QUESTION
Directions: Read all parts of the short response question before you begin. Write your answers to the short response
question in the space provided. For each short response question, use the grid provided to create any required charts or
graphs. If a question does not require a chart or graph, write your written response over the grid lines.
A piece of land has an area of about 46,707 square miles.
A. Write the number of square miles of land in expanded form.
B. How many times greater is the 7 in the hundreds place than the 7 in the ones place? Explain
your answer.
27.
A. 40,000 + 6,000 + 700 + 7
B. The 7 in the hundreds place is 100 times greater than
the 7 in the ones place.
7 x 100 = 700
OPEN RESPONSE QUESTION
Directions: Read all parts of each open response question before you begin. Write your answers to the open response
questions in the space provided. For each open response question, use the grid provided to create any required charts or
graphs. If a question does not require a chart or graph, write your written response over the grid lines.
Harvey has 523 stamps. He wants to put the stamps in 3 stamp books. Each book will have
the same number of stamps. Harvey will give any extra stamps to his sister.
A. How many stamps will be in each stamp book? Write a number sentence for the problem.
Use a variable to represent the quotient.
B. Solve the number sentence you wrote for Part A. Explain your answer.
28.
A. 523 ÷ 3 = x
B. There will be 174 stamps in each of 3 stamp books.
There will be 1 stamp left over.
The dividend is 523 stamps. The divisor is 3 stamp
books. The remainder is 1 stamp left over. It will
go to Harvey's sister.
174 R1
3 523
-3
22
-21
13
-12
1