answer key - charles armstrong school · answer key a. 4,560,000 what place is the underlined digit...
TRANSCRIPT
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. 817,300 = 817,300 k. 690,609 > 609,690 l. $100,020 < $100,200
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 145,000
o. 456,929 is less than 456,992
p. $515,013 is greater than $59,013
q. 815,789 is less than 851,709
Part 3: Circle the greater amount in each pair.
r. 245,611 254,600 s. 470,009 48,090 t. 344,002 340,009
Part 4: Read and answer the questions.
u. There are 686,923 people living in Alaska.
There are 873,092 people living in Delaware.
Which state has the greater population? Delaware
v. 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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Set F-1Seven-Digit Numbers
Cut out the cards and place the numbers in orderfrom least to greatest.
5,619,883 3,491,067 6,306,674
827,540 6,366,074 5,619,388
3,941,067 6,306,764 3,490,176
5,169,883 3,941,076 8,275,400
F-1 F-1 F-1
F-1 F-1 F-1
F-1 F-1 F-1
F-1 F-1 F-1
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Set F-2Seven-Digit Numbers
Cut out the cards and place the numbers in orderfrom least to greatest.
7,595,907 346,346 2,793,626
1,700,100 2,973,266 7,595,970
2,793,266 3,460,046 1,701,000
7,959,570 1,700,999 3,460,460
F-2 F-2 F-2
F-2 F-2 F-2
F-2 F-2 F-2
F-2 F-2 F-2
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Set F-3Seven-Digit Numbers
Cut out the cards and place the numbers in orderfrom least to greatest.
6,278,489 9,214,587 4,114,360
7,256,770 5,310,984 9,142,857
4,114,359 7,256,707 6,278,984
7,256,077 513,098 9,412,857
F-3 F-3 F-3
F-3 F-3 F-3
F-3 F-3 F-3
F-3 F-3 F-3
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Set F-4Seven-Digit Numbers
Cut out the cards and place the numbers in orderfrom least to greatest.
8,699,589 4,227,321 1,637,176
4,227,311 1,637,716 8,699,590
1,367,716 195,742 1,957,400
8,700,589 4,223,711 1,637,617
F-4 F-4 F-4
F-4 F-4 F-4
F-4 F-4 F-4
F-4 F-4 F-4
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Set F-5Seven-Digit Numbers
Cut out the cards and place the numbers in orderfrom least to greatest.
3,168,927 7,696,821 5,740,387
7,966,821 262,489 3,168,304
3,168,297 5,473,087 2,300,489
2,624,901 7,700,821 5,743,087
F-5 F-5 F-5
F-5 F-5 F-5
F-5 F-5 F-5
F-5 F-5 F-5
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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 CardsSet 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
ANSWER KEY
Addition with 4-Digit Addends
Find the sums.
a. 7, 4 4 7 b. 3, 9 8 6
+ 2, 9 8 7 + 3, 9 2 0
1 0, 4 3 4 7, 9 0 6
c. 6, 9 7 8 d. 2, 4 0 8 e. 5, 8 7 6 f. 6, 2 6 1
+ 8 7 + 5, 7 3 9 + 2, 3 8 7 + 9 8 0
7, 0 6 5 8, 1 4 7 8, 2 6 3 7, 2 4 1
g. 4 6 h. 5, 0 9 6 i. $ 1, 8 9 8 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
k. 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
l. 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 b. 3, 8 8 0
- 2, 9 7 6 - 2, 9 2 6
3, 4 2 1 9 5 4
c. 5, 7 6 7 d. 9, 4 0 3 e. 4, 8 7 6 f. 8, 1 7 2
- 1 5 8 - 5, 1 3 3 - 1, 3 8 2 - 9 6 3
5, 6 0 9 4, 2 7 0 3, 4 9 4 7, 2 0 9
g. 7, 6 7 6 h. 8, 0 7 4 i. 1, 2 3 4 j. 5, 5 5 5
- 5, 8 5 8 - 4, 5 0 8 - 5 1 8 - 2 9 5
1, 8 1 8 3, 5 6 6 7 1 6 5, 2 6 0
k. There are 3,420 students at Oak Tree Elementary
School. 1,911 students are girls. How many are
boys? 1,509 are boys.
l. 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 7 0 2 6
x 7 x 6 x 4 x 1 x 12
63 42 0 2 72
b. 3 4 9 4 3 5 6
x 8 x 11 x 8 x 4 x 6 x 3 x 5
24 44 72 16 18 15 30
c. 9 4 7 3 9 2 3
x 9 x 3 x 8 x 9 x 12 x 7 x 7
81 12 56 27 108 14 21
d. 5 7 9 6 4 7 7
x 8 x 2 x 4 x 11 x 8 x 9 x 7
40 14 36 66 32 63 49
e. 3 8 9 2 5 2 1
x 3 x 8 x 6 x 12 x 11 x 1 x 0
9 64 54 24 55 2 0
f. 8 8 5 4
x 6 x 4 x 5 x 9
48 32 25 36
g. 2 0 6 8
x 2 x 8 x 7 x 12
4 0 42 96
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Name: _________________________________________________ Multiplication: 3-Digits by 1-DigitANSWER KEY
a.7 6 2
b.4 3 8
c.2 0 9
x 3 x 5 x 6
2, 2 8 6 2, 1 9 0 1, 2 5 4
d.5 7 5
e.1 1 9
f.2 5 0
x 7 x 8 x 4
4, 0 2 5 9 5 2 1, 0 0 0
g.3 9 6
h.8 7 7
i.7 3 7
x 2 x 8 x 3
7 9 2 7, 0 1 6 2, 2 1 1
j. 4 8 6k.
7 3 2l.
9 4 8
x 1 x 7 x 2
4 8 6 5, 1 2 4 1, 8 9 6
m.7 6 0
n.1 4 5
o.3 7 3
x 7 x 6 x 9
5, 3 2 0 8 7 0 3, 3 5 7
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Name: _________________________________________ Multiplying 2-Digit by 2-Digit Numbers
a.4 8
b.6 3
c.2 0
x 2 3 x 8 7 x 3 8
1, 1 0 4 5, 4 8 1 7 6 0
d.9 1
e.8 3
f.6 4
x 3 7 x 6 2 x 6 5
3, 3 6 7 5, 1 4 6 4, 1 6 0
g.9 9
h.6 4
i.4 2
x 9 9 x 7 3 x 7 0
9, 8 0 1 4, 6 7 2 2, 9 4 0
j. 8 2k.
3 5l.
2 7
x 6 1 x 4 5 x 4 8
5, 0 0 2 1, 5 7 5 1, 2 9 6
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Name: ___________________________
DivisionDivisors up to 9
a. 6 b. 4
4 2 4 3 1 2
c. 9 d 6 e. 7 f. 9
8 7 2 7 4 2 4 2 8 9 8 1
g. 9 h. 8 i. 3 j. 7
3 2 7 6 4 8 3 9 5 3 5
k. 3 l. 6 m. 7 n. 9
7 2 1 7 4 2 4 2 8 9 8 1
m. 54 ÷ 6 = 9 n. 20 ÷ 5 = 4 o. 10 ÷ 2 = 5 m. 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. 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
y. 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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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. r. There are 46 flowers and 9
You put the same number of vases. Each vase must have
cookies on each plate. the same number of flowers.
How many cookies How many flowers
are on each plate? 2 will be in each vase? 5
How many cookies How many flowers
are left over? 5 will be left over? 1
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Name: ___________________________ ANSWER KEY
DivisionTwo-Digit and Three-Digit Dividends, No Remainders
a. 1 4 b. 1 5
2 2 8 3 4 5
c. 1 0 d. 1 6
4 4 0 2 3 2
e. 2 1 f. 2 0 g. 2 2
4 8 4 5 1 0 0 7 1 5 4
h. 3 2 i. 5 5 j. 8 1
9 2 8 8 6 3 3 0 8 6 4 8
k. 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? ans: 66 poundsShow your work and label your answer.
6 6
7 4 6 2
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ADecimal Addition
Three Digit Decimals - No Regrouping
Name: Date:
Copyright ©2012 WorksheetWorks.com
( 1 ) 43.611.3Ñ
( 2 ) 248.641.Ñ
( 3 ) 1.485.1Ñ
( 4 ) 701.286.Ñ
( 5 ) .457.31Ñ
( 6 ) 5.112.46Ñ
( 7 ) 50.528.4Ñ
( 8 ) 13.552.4Ñ
( 9 ) 136.333.Ñ
(10) 14.462.Ñ
(11) 34.245.6Ñ
(12) 8.07.11Ñ
(13) 5.761.03Ñ
(14) 743.11.Ñ
(15) 641.9.Ñ
A N S W E R K E Y
889. 86.5
987. 7.76 7.57
78.9 65.9 469.
476. 79.8 8.18
6.79 754. 640.1
54.9
ADecimal Subtraction
3 Digit - 2 Digit Decimals - Some Regrouping
Name: Date:
Copyright ©2012 WorksheetWorks.com
( 1 ) 5.782.2É
( 2 ) 56.436.É
( 3 ) 7.363.8É
( 4 ) 22.31.É
( 5 ) 9.913.4É
( 6 ) 9.782.8É
( 7 ) 62.217.É
( 8 ) 56.121.É
( 9 ) 9.282.1É
(10) 7.931.É
(11) 1.953.8É
(12) 2.784.1É
(13) 87.827.É
(14) 96.625.É
(15) 9.289.5É
A N S W E R K E Y
20.4
‰ …‡
4.55
21.3 6.51
‹ …‹
7.97
… …†
55.1 35.1 7.18
› …„
75.9
Œ ……
8.05
› …†
8.58
60.8 71.6
‹ …†
.77
3.58