Numbers and Operations—Fractions: Decimals – AP

Numbers and Operations—Fractions:
Decimals – AP Book 4.2: Unit 7
5.
page 106
1.
b) 5¢ = $0.05
c) 43¢ = $0.43
d) 87¢ = $0.87
e) 54¢ = $0.54
f)
2.
3.
c) $30
7¢
$30.07
d) $26
11¢
$26.11
7.
Teacher to check drawings.
Three $1 bills + two 25¢
coins.
8.
7
$0.47
page 108
c)
3
2
5
$3.25
1.
d)
0
0
3
$0.03
c) 4¢, circle 6 ¢
e) 28 1
6
$28.16
d) 598¢, circle $5.98
b) 100¢, circle 101¢
a) 300 ¢
e) 605¢, circle 650¢
b) 60¢
f)
328¢
d) 100¢
b) 970¢
982¢
e) 700¢
c) 875¢
863¢
f)
2.
d) 1,260¢
1,200¢
g) 1,500¢
e) 89¢
3.
b) = 20¢ = $0.20
c) = 60¢ = $0.60
j)
98¢
d) = 4¢
e) = 13¢ = $0.13
l)
f)
8¢
g) = 25¢ = $0.25
c) $2.16
h) = 75¢ = $0.75
d) $3.75
i)
= 80¢ = $0.80
e) $3.00
j)
= 100¢ = $1.00
$0.04
3.
4.
5.
34
100
b) 7 dimes = 70 pennies
l)
4.
b)
= 700¢ = $7.00
The greater amount is 168¢
because in dollar notation,
it is $1.68 and that is
greater than $1.65.
=
70
100
10.
Explanations may vary.
Sample answer: Rocco is
incorrect because while
17 is greater than 8,
17/100 is less than 8/10
because when they are
compared in hundredths,
17/100 is less than
80/100.
AP Book NF4-22
page 111
1.
b)
c)
80
= 100
d)
2.
50
= 100
60
0.3
8
10
0.8
2
10
0.2
b) 0.7
c) 0.6
6
60
100
c)
9
10
9
90
90
100
3.
Teacher to check shading
of fractions.
d)
3
10
3
30
30
100
4.
Teacher to check number
lines.
5.
b)
Answers may vary.
Sample explanation:
No, Sarah is not correct
beause while 37 coins is a
larger number of coins,
the value of 37 pennies is
less than 5 dimes. In cent
notation, it is clear that
37¢(37 pennies) is less
than 50¢ (5 dimes).
d) 0.9
c)
d)
e)
Teacher to check
shading.
46
100
0.46
18
100
0.18
50
100
0.50
47
100
0.47
BONUS
30
100
96
100
b)
50
100
6.
b)
8
10
7.
a) 36 hundredths 36
100
6.
80
100
b) 72 hundredths 72
100
8.
3
10
6
10
a)
k) $12.00
V-22
d)
5
10
k) = 500¢ = $5.00
g) $0.07
$16.04
60
6
or
100
10
Teacher to check shading
and circling.
d) 5 dimes = 50 pennies
= 25¢ = $0.25
b) $1.03
l)
c)
8
10
= $0.04
k) 3¢
$0.99
30
3
or
100
10
300¢
151¢
i)
b)
9
c) 8 dimes = 80 pennies
1,206¢
i)
$6.00
4
100
87¢, circle 187¢
a) 385¢
i)
a)
7
10
4
h) $0.90
1.
AP Book NF4-20
0
f)
page 109
Five $1 bills and one
quarter
One 5$ bill and five nickels.
b)
h) 199¢
AP Book NF4-21
2.
1¢ = $0.01
c) 9¢
4.
$20.55
Quarters
h) 75¢ = $0.75
i)
55¢
6.
9¢ = $0.09
g) 2¢ = $0.02
b) $20
Teacher to check shading.
0.96
a) 0.18
b) 0.09
c) 0.90
7.
Teacher to check number
line.
b) 0.06 < 0.24 <
0.45 < 0.70
Answer Keys for AP Book 4.2
COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION
AP Book NF4-19
Numbers and Operations—Fractions:
Decimals – AP Book 4.2: Unit 7
AP Book NF4-23
8.
page 113
1.
2.
Teacher to check shading.
b) 90
100
0.90
c) 60
100
0.60
b)
c)
0.40
1.
a) Teacher to check
number line.
0.05 < 0.27 < 0.40
1.
= 0.6 = 0.60
b)
= 0.77
c)
= 0.3 = 0.30
d)
= 0.09
3.
0 tenths, 2 hundredths
2 = 0.02
100
b) 8 tenths, 3 hundredths
= 83 hundredths
7
2
and 0.02 =
100
10
should be circled.
4.
2.
3.
f)
4.
0.19
1 dimes 9 pennies
1 tenth, 9 hundredths
19 pennies
19 hundredths
3.
A
3 tenths, 7 hundredths
= 37 hundredths
Circle 0.3
B
8 tenths, 4 hundredths
= 84 hundredths
3
10
+
4
100
=
34
100
c)
2
10
+ 100 =
25
100
5
Teacher to check shading.
b)
8
10
+ 100 =
7
87
100
c)
6
10
+ 100 =
2
62
100
d)
7
10
+ 100 =
6
76
100
Teacher to check shading.
c) 0.40 + 0.09 = 0.49
5.
0.3
3 dimes 0 pennies
3 tenths 0 hundredths
30 pennies
30 hundredths
d) 0 tenths, 2 hundredths
= 2 hundredths
b)
b) 0.4 + 0.3 = 0.7
a) 0.6
6 dimes 0 pennies
6 tenths 0 hundredths
60 pennies
60 hundredths
0.18
1 dimes 8 pennies
1 tenth 8 hundredths
18 pennies
18 hundredths
c) 7 tenths, 0 hundredths
= 70 hundredths
1.
e) 0.09
0 dimes 9 pennies
0 tenths, 9 hundredths
9 pennies
9 hundredths
b) 0.8
8 dimes 0 pennies
8 tenths 0 hundredths
80 pennies
80 hundredths
e) 0 tenths, 8 hundredths
8 = 0.08
100
0.7 =
Answer Keys for AP Book 4.2
2.
d) 6 tenths, 0 hundredths
60 = 0.60
100
f)
page 118
d) 0.03
0 dimes 3 pennies
0 tenths, 3 hundredths
3 pennies
3 hundredths
b) 2 tenths, 8 hundredths
28 = 0.28
100
c) 4 tenths, 1 hundredths
41 = 0.41
100
= 30
100
a)
b) 47 hundredths =
4 tenths 7 hundredths
87 = 0.87
100
a) 0.7 = 7 = 70
10
100
b) 0.62
6 dimes 2 pennies
6 tenths, 2 hundredths
62 pennies
62 hundredths
c) 0.48
4 dimes 8 pennies
4 tenths, 8 hundredths
48 pennies
48 hundredths
d) 87 hundredths =
8 tenths 7 hundredths
2.
32
100
50
0.5 =
100
Will is incorrect because
50 is greater than 32.
0.32 =
AP Book NF4-26
page 117
76 = 0.76
100
c) 0.09 = 9
100
COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION
= 59
100
4.
AP Book NF4-25
c) 76 hundredths =
7 tenths 6 hundredths
6 tenths
60 hundredths
0.6 = 0.60
b) 0.48 = 48
100
7.
= 16
100
47 = 0.47
100
b) Teacher to check
number line.
0.05 < 0.08 < 0.80
6.
b) 58 cm = 0.58 m
= 58
100 m
page 115
0.4
2 tenths
20 hundredths
0.2 = 0.20
d) 0.3
6.
0.70
C 7 tenths
70 hundredths
0.7 = 0.70
5.
= 70
100
Teacher to check number
lines.
0.7 > 0.59
0.7
b) 0.20 < 0.40 < 0.70
4.
= 20
100
5.
AP Book NF4-24
4 40
10 100
B
= 73
100
0.2 > 0.16
iii)
A
= 40
100
0.4 < 0.73
a) ii)
7 70
10 100
3.
a)
(continued)
6.
a)
80
100
b)
70
100
c)
40
100
d)
30
100
a)
23
100
b)
45
100
c)
72
100
d)
68
100
a)
53
100
b)
37
100
c)
92
100
V-23
Numbers and Operations—Fractions:
Decimals – AP Book 4.2: Unit 7
f)
6
17100
85
100
g)
193100
a)
74
100
BONUS
b)
69
100
7
c)
19
100
4.
9.
4
1000
a) hundredths
a) seven and four tenths
39
100
6.
7
4
10
b) = 6 R 84
AP Book NF4-27
84
7.
c)
b) 12.5
d)
a) 10
= 64.2
e)
c) 100
f)
10,000
b)
c)
d)
e)
V-24
9
4
7 100
15
18 100
4
13 10
2.
6.40
8.
3.
64
a)
1
100
a)
5
2.
5.
Sample answer: Yes, 0.3 of
a square can be more than
0.4 of another square if the
two squares are different
sizes.
b) 708
100
c) 860
100
23 tenths
14 tenths
So 2.3 – 1. 4
= 9 tenths
= 9
10
= 0.9
3.
a) Answer may vary.
b) Answers may vary.
c) Teacher to check.
4.
b) 300
308
c) 48
56
d) Sample answer: 0.25 is
not more than 0.40, but
0.25 dollars is more
than 0.40 dimes.
Sample answer: Sarah is
not correct. Although 0.25
appears to be more
because more is shaded, it
is 0.25 of 100 (hundredths),
while 0.3 is 0.30 in
hundredths, which is
greater.
53
9 100
So 2.3 + 1.4
= 37 tenths
= 37
10
= 3.7
a) 4
4.
7
5 100
9 + 0.53 = 9.53
c) Rashida
8
e) 708
10
d)
1
10
b)
8
10
5 + 0.07 = 5.07
6.70
b) 25
42100
d) 6,004
100
c)
750
100 7.50
67
10
2
2 + 0.8 = 2.8
c) Naomi
5 100
a) 38
10
7.5
b)
59.40
b) 50
= 42.08
81
6 10
1.
= 5.64
BONUS
3100
d) 64 640
10 100
page 122
2
10
6
a)
1.
page 123
AP Book NF4-28
1
10
d) 46.03
b) 100
3.
4
= 4.1
c) 8.45
2.
3.90
6 100
page 120
a) 3.4
c) 39 390
10 100
h) 30.8 308 3080
10
100
a) = 7 R 4
No, he did not bike more
than a kilometer.
AP Book NF4-29
g) 6.7
d) 20.4
99
100 km
3.80
f)
c) 74.11
Sample answer: Yes, 0.3
on one number line can be
farther right than 0.5 on
another number line,
depending on the size and
spacing of either number
line.
b) 38 380
10 100
e) 594 5940
10 100
b) four and nine
hundredths
BONUS
1.
9.
d) tenths
5.
47
100
6.
h) 904
10
c) hundredths
93
100
175
10
g) 3,189
100
45
b) tenths
BONUS
8.
f)
d) Centimeters are more
like cents because
there are 100
centimeters in a meter
just like there are 100
cents in a dollar.
Ounces are less like
cents because there
are 16 ounces in a
pound.
5.
2 + 0.8 + 2.09 = 4.89
Gia biked 4.89 km
altogether.
6.
24
100
Answer Keys for AP Book 4.2
COPYRIGHT © 2013 JUMP MATH: NOT TO BE COPIED. CC EDITION
7.
BONUS
(continued)