Mrs. Brinkman
Math Packet Answer Key
Summer 2012
Name: __________________________________________
Place Value
Place and Value
ANSWER KEY
a.
4,560,000
What place is the underlined digit in? ten thousands place
What is the value of the underlined digit? 60,000
b.
56,002,030
What place is the underlined digit in? millions place
What is the value of the underlined digit? 6,000,000
c.
3,924,560
What place is the underlined digit in? tens place
What is the value of the underlined digit? 60
d.
5,019,204
What place is the underlined digit in? millions place
What is the value of the underlined digit? 5,000,000
e.
6,070,321
What place is the underlined digit in? ten thousands place
What is the value of the underlined digit? 70,000
f.
19,352,340
What place is the underlined digit in? ten millions place
What is the value of the underlined digit? 10,000,000
g.
23,269,002
What place is the underlined digit in? ten millions place
What is the value of the underlined digit? 20,000,000
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ANSWER KEY
Making Really Big Numbers Look Even Bigger
Write each number in expanded form.
examples: 1,201,345 = __1,000,000 + 200,000 + 1,000 + 300 + 40 + 5
3,509,005 = __3,000,000 + 500,000 + 9,000 + 5__________
a. 4,502,093 = 4,000,000 + 500,000 + 2,000 + 90 + 3
b. 3,002,932 = 3,000,000 + 2,000 + 900 + 30 + 2
c. 1,703,200 = 1,000,000 + 700,000 + 3,000 + 200
d. 6,203,921 = 6,000,000 +200,000 + 3,000 + 900 + 20 + 1
e. 7,802,400 = 7,000,000 + 800,00 + 2,000 + 400
f. 9,209,998 =
9,000,000 + 200,000 + 9,000 + 900 + 90 + 8
g. 3,456,002 = 3,000,000 + 400,000 + 50,000 + 6,000 + 2
h. 6,000,002 = 6,000,000 + 2
i. 5,032,090 =
5,000,000 + 30,000 + 2,000 + 90
j. 7,800,230 =
7,000,000 + 800,000 + 200 + 30
k. 3,025,607 = 3,000,000 + 20,000 + 5,000 + 600 + 7
l. 4,040,040 =
4,000,000 + 40,000 + 40
m. 1,000,221 = 1,000,000 + 200 + 20 + 1
n. 2,561,005 = 2,000,000 + 500,000 + 60,000 +1,000 +5
o. 2,900,003 = 2,000,000 + 900,000 + 3
p. 7,200,300 = 7,000,000 + 200,000 + 300
q. 1,111,111 = 1,000,000 + 100,000 + 10,000 + 1,000 + 100 + 10 + 1
r. 4,506,070 =
4,000,000 + 500,000 + 6,000 + 70
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Name: ____________________________
Comparing 6-Digit Numbers
Comparing Six-Digit Numbers - ANSWER KEY
Part 1: Write <, >, or = on each line.
a. 254,789 < 254,879
b. 545,454 > 454,545
c. 134,312 = 134,312
d. 778,003 < 778,030
e.
32,999 < 102,033
f.
676,777 > 667,798
g. 898,820 > 99,929
h. 344,280 > 340,289
i.
34,559 < 304,559
j.
k.
l.
$100,020 < $100,200
817,300 = 817,300
690,609 > 609,690
Part 2: On each line, write out the words, “is greater than,” “is less than,” or “is equal to”
m.
789,224
is equal to
789,224
n.
154,000
is greater than
o.
456,929
is less than
p.
$515,013
is greater than
q.
815,789
is less than
145,000
456,992
$59,013
851,709
Part 3: Circle the greater amount in each pair.
r.
245,611
254,600
s.
470,009
48,090
t.
344,002
Part 4: Read and answer the questions.
u.
v.
There are 686,923 people living in Alaska.
There are 873,092 people living in Delaware.
Which state has the greater population?
Delaware
The size of Texas is 268,581 square miles.
Minnesota is 86,939 square miles.
Which state has smaller area?
Minnestoa
w. The distance around the Earth's equator is 24,901 miles.
The distance around Saturn's equator is 236,672 miles.
Which planet has the shorter distance around its equator?
Earth
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340,009
ANSWER KEY
Set F-1: 827,540; 3,490,176; 3,491,067; 3,941,067; 3,941,076; 5,169,883;
5,619,388; 5,619,883; 6,306,674; 6,306,764; 6,366,074; 8,275,400
Set F-2: 346,346; 1,700,100; 1,700,999; 1,701,000; 2,793,266; 2,793,626;
2,973,266; 3,460,046; 3,460,460; 7,595,907; 7,595,970; 7,959,570
Set F-3: 513,098; 4,114,359; 4,114,360; 5,310,984; 6,278,489; 6,278,984;
7,256,077; 7,256,707; 7,256,770; 9,142,857; 9,214,857; 9,412,857
Set F-4: 195,742; 1,367,716; 1,637,176; 1,637,617; 1,637,716; 1,957,400;
4,223,711; 4,227,311; 4,227,321; 8,699,589; 8,699,590; 8,700,589
Set F-5: 262,489; 2,300,489; 2,624,901; 3,168,297; 3,168,927; 3,168,304;
5,473,087; 5,740,387; 5,743,087; 7,696,821; 7,966,821; 7,700,821
Sets of Ordering Cards
Set A - Ordering Two-Digit Numbers
Set B - Ordering Three-Digit Numbers
Set C - Ordering Four-Digit Numbers
Set D - Ordering Five-Digit Numbers
Set E - Ordering Six-Digit Numbers
Set F - Ordering Seven-Digit Numbers
Set G - Ordering Decimals - Tenths
Set H - Ordering Decimals - Hundredths
Set I - Ordering Decimals - Tenths and Hundredths
Set J - Ordering Fractions
Set K - Ordering Mixed Numbers
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ANSWER KEY
Addition with 4-Digit Addends
Find the sums.
a.
7, 4 4 7
+ 3, 9 2 0
1 0, 4 3 4
7, 9 0 6
6, 9 7 8
+
k.
l.
3, 9 8 6
+ 2, 9 8 7
c.
g.
b.
d.
2, 4 0 8
e.
5, 8 7 6
8 7
+ 5, 7 3 9
+ 2, 3 8 7
7, 0 6 5
8, 1 4 7
8, 2 6 3
4 6
h.
5, 0 9 6
i.
$ 1, 8 9 8
f.
6, 2 6 1
+
9 8 0
7, 2 4 1
j.
$ 1, 6 9 8
+ 9, 4 8 5
+ 9, 1 4 5
+ $ 7 3 7
+ $ 5 6 7
9, 5 3 1
1 4, 2 4 1
$ 2, 6 3 5
$ 2, 2 6 5
A scuba diver finds a treasure chest in the ocean.
When she opens it up, she discovers that it is filled
with 3,567 gold coins and 1,793 silver coins. How
many coins does the chest contain in all?
5,360 coins
The treasure chest also contains pearls! There
are 1,356 white pearls and 562 black pearls.
How many pearls are there altogether?
1,918 pearls
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ANSWER KEY
Subtraction with 4-Digit Numbers
Subtract to find the differences.
a.
6, 3 9 7
- 2, 9 2 6
3, 4 2 1
9 5 4
5, 7 6 7
-
k.
l.
3, 8 8 0
- 2, 9 7 6
c.
g.
b.
d.
9, 4 0 3
e.
4, 8 7 6
1 5 8
- 5, 1 3 3
- 1, 3 8 2
5, 6 0 9
4, 2 7 0
3, 4 9 4
7, 6 7 6
h.
8, 0 7 4
- 5, 8 5 8
- 4, 5 0 8
1, 8 1 8
3, 5 6 6
i.
1, 2 3 4
-
5 1 8
7 1 6
f.
8, 1 7 2
-
9 6 3
7, 2 0 9
j.
5, 5 5 5
-
2 9 5
5, 2 6 0
There are 3,420 students at Oak Tree Elementary
School. 1,911 students are girls. How many are
boys?
1,509 are boys.
There are 1,293 4th graders at Oak Tree
Elementary School. On Monday,134 of them
were absent. How many 4th graders were in
school on Monday?
1,159 4th graders
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ANSWER KEY
Multiplication: 0 - 9
a.
9
x
b.
x
c.
x
d.
x
e.
x
7
x
6
0
x
4
x
2
6
1
x 12
63
42
0
2
72
3
4
9
4
3
8
x 11
24
44
72
16
18
15
30
9
4
7
3
9
2
3
9
x 12
9
x
3
x
x
8
8
x
x
4
x
g.
x
x
x
3
7
6
x
x
5
7
12
56
27
108
14
21
5
7
9
6
4
7
7
4
x 11
8
x
2
x
x
8
x
9
x
7
40
14
36
66
32
63
49
3
8
9
2
5
2
1
6
x 12
x 11
54
24
55
2
0
8
5
4
3
x
8
64
x
8
x
6
5
81
9
f.
7
6
x
4
x
x
1
5
x
x
0
9
48
32
25
36
2
0
6
8
7
x 12
42
96
2
4
x
8
0
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x
Name: _________________________________________________ Multiplication: 3-Digits by 1-Digit
ANSWER KEY
7
a.
6
x
2
3
x
2, 1
1
2, 2
8
6
5
7
5
d.
x
2
5
3
9
6
x
j.
8
6
1
6
7
6
0
7
2
0
1, 2
5
4
1
9
2
5
0
n.
x
1, 0
0
0
7
3
7
i.
4
8
x
1
6
2, 2
1
1
3
2
9
4
8
l.
3
7
x
2
4
1, 8
9
6
4
5
3
7
3
x
8
f.
6
8
7
5, 1
8
0
7
x
9
9
8
1
4
5, 3
k.
0
x
2
7
4
2
c.
5
5
7, 0
2
x
h.
8
9
x
9
3
x
2
7
x
m.
e.
7
4, 0
g.
4
b.
7
o.
2
6
x
0
3, 3
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9
5
7
Name: _________________________________________
4
8
x
2
3
1, 1
0
4
9
1
x
3
7
3, 3
6
7
9
9
x
9
9
9, 8
0
1
8
2
x
6
1
5, 0
0
2
a.
d.
g.
j.
6
3
x
8
7
5, 4
8
1
8
3
x
6
2
5, 1
4
6
6
4
x
7
3
4, 6
7
2
3
5
x
4
5
1, 5
7
5
b.
e.
h.
k.
Multiplying 2-Digit by 2-Digit Numbers
2
0
x
3
8
7
6
0
6
4
x
6
5
4, 1
6
0
4
2
x
7
0
2, 9
4
0
2
7
x
4
8
1, 2
9
6
c.
f.
i.
l.
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Name: ___________________________
Division
Divisors up to 9
6
a.
4
2
4
9
c.
8
7
9
3
2
3
m.
2
2
6
7
4
6
4
7
4
4
2
3
20 ÷ 5 = 4
o.
9
2
8
5
10 ÷ 2 = 5
3
9
m.
8
28 ÷ 7 = 4
p.
49 ÷ 7 = 7
q.
12 ÷ 6 = 2
r.
18 ÷ 3 = 6
s.
0÷7=0
t.
3÷1=3
u.
24 ÷ 3 = 8
v.
8÷2=4
w.
4÷4=1
x.
y.
There were 9 kittens stuck in a tree.
Superhero Flash Wolf rescued them all.
He climbed the tree and carried three kittens
down at a time. How many times did he have
to climb the tree?
ans: 3 times
Flash Wolf had 27 kitty treats to feed to the
kittens he saved. If he gives each kitten the
same number of treats, how many treats will
each kitten receive?
ans: 3 treats
Hint: Look at the other word problem to see how many
kittens there were.
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5
9
n.
8
1
7
j.
7
4
n.
8
9
m.
2
9
f.
3
i.
8
6
l.
7
e.
2
8
h.
1
54 ÷ 6 = 9
1
d
7
k.
7
3
2
g.
4
b.
1
Name: __________________________
ANSWER KEY
Division with Remainders
a.
7 r2
b.
6 r4
c.
1 r3
d.
2 r4
e.
4 r1
f.
5 r3
g.
5 r2
h.
5 r3
i.
5 r4
j.
1 r3
k.
7 r1
l.
2 r2
m.
1 r1
n.
2 r1
o.
5 r4
p.
9 r3
q.
You have 23 cookies and 9 plates.
You put the same number of
cookies on each plate.
r.
There are 46 flowers and 9
vases. Each vase must have
the same number of flowers.
How many cookies
are on each plate? 2
How many flowers
will be in each vase? 5
How many cookies
are left over?
5
How many flowers
will be left over?
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1
ANSWER KEY
Name: ___________________________
Division
Two-Digit and Three-Digit Dividends, No Remainders
a.
2
c.
4
e.
4
1
4
2
8
1
0
4
0
2
1
8
4
h.
9
k.
2
1
b.
3
d.
2
4
5
1
6
3
2
f.
5
3
2
8
8
1
i.
6
5
3
2
0
0
0
5
5
3
0
A lion eats 462 pounds of food in a week.
If the lion eats the same amount of food each day,
how many pounds does a lion eat per day?
Show your work and label your answer.
7
4
6
6
6
2
g.
7
1
j.
8
6
2
2
5
4
8
1
4
8
ans: 66 pounds
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ANSWER KEY
Adding Fractions
with the Same Denominator, Requires Simplifying
1
2
5
10
5
8
3
5
or 1
or 1
2
3
7
12
5
9
or
10
10
2
5
12
12
4
7
9
12
3
4
9
10
5
6
4
5
6
11
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ANSWER KEY
Subtracting Fractions
with Like Denominator, Requires Simplifying
3
6
1
-6
3
6
1
-6
3
6
1
-6
2
6
same
6
-
3
6
1
-6
2=1
6 3
Subtract the fractions and simplify the answers.
a.
5
6
1
- 6
4
6
b.
=
2
3
6
8
2
- 8
4=1
8 2
c.
3
4
1
- 4
2=1
4 2
d.
3
8
1
- 8
2= 1
8 4
e.
5
9
2
- 9
3
9
=
1
3
f.
11
12
3
- 12
8=2
12 3
g.
7
10
1
- 10
6=3
10 5
h.
7
8
3
- 8
4=1
8 2
i.
3
6
1
- 6
2= 1
6 3
j.
8
10
3
- 10
5=1
10 2
k.
7
12
4
- 12
3=1
12 4
l.
8
9
2
- 9
6=2
9 3
m.
9
10
1
- 10
8=4
10 5
n.
5
6
2
- 6
3= 1
6 2
o.
7
8
1
- 8
6
8
7
9
1
- 9
6=2
9 3
q.
8
12
4
- 12
4=1
12 3
r.
8
10
2
- 10
6= 3
10 5
s.
5
8
1
- 8
4= 1
8 2
t.
p.
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=
3
4
11
12
2
- 12
9=3
12 4
A
Decimal Addition
Three Digit Decimals - No Regrouping
A N S W EDate:
R KEY
Name:
(1)
6.3 4
Ñ3.1 1
9.4 5
(2)
.8 4 2
Ñ.1 4 6
.9 8 8
(3)
4.1
Ñ1.5 8
5.6 8
(4)
.1 0 7
Ñ.6 8 2
.7 8 9
(5)
5 4.
Ñ1 3.7
6 7.7
(6)
1 1.5
Ñ6 4.2
7 5.7
(7)
5.0 5
Ñ4.8 2
9.8 7
(8)
5.3 1
Ñ4.2 5
9.5 6
(9)
.6 3 1
Ñ.3 3 3
.9 6 4
(10)
.4 1
Ñ.2 6 4
.6 7 4
(11)
2.4 3
Ñ6.5 4
8.9 7
(12)
7 0.8
Ñ1 1.
8 1.8
(13)
6 7.5
Ñ3 0.1
9 7.6
(14)
.3 4 7
Ñ.1 1
.4 5 7
(15)
.1 4 6
Ñ.9
1.0 4 6
Copyright ©2012 WorksheetWorks.com
A
(1)
(4)
(7)
(10)
(13)
Decimal Subtraction
3 Digit - 2 Digit Decimals - Some Regrouping
A N S W EDate:
R KEY
Name:
8 7.5
É 2.2
8 5.3
(2)
3.2 2
É .1
3.1 2
… …†
2.2 6
É .7 1
1.5 5
› …„
‰ …‡
4.6 5
É .6 3
4.0 2
(3)
6 3.7
É 8.3
5 5.4
(5)
1 9.9
É 4.3
1 5.6
(6)
8 7.9
É 8.2
7 9.7
(8)
1.6 5
É .1 2
1.5 3
(9)
8 2.9
É 1.2
8 1.7
9.7
É .1 3
9.5 7
(11)
8.7 8
É .7 2
8.0 6
(14)
Œ ……
5 9.1
É 8.3
5 0.8
(12)
6.6 9
É .5 2
6.1 7
(15)
Copyright ©2012 WorksheetWorks.com
‹ …‹
› …†
8 7.2
É 1.4
8 5.8
‹ …†
8 2.9
É 5.9
7 7.