page 1
Number Sense – AP Book 5.2
AP Book NS5-61
page 199
1.
2.
3.
AP Book NS5-62
page 200
5.
b)
2
4
c)
3
4
d)
4
6
a)
The total number
of pieces in the pie
shaded triangles
b)
The number of
pieces in the pie
that you have
not shaded
triangles
1.
2.
1
5
a)
b)
c)
d)
b)
1
4
a)
triangles
c)
b)
squares
1
5
d)
1
12
e)
1
6
f)
1
12
a)
1
4
b)
1
6
c)
3
8
d)
3
8
OR
c)
d)
b)
b)
1 2
5 , 5
2.
circles
shaded squares
2
3
a)
1
3
OR
a)
a)
a)
1.
OR
a)
c)
7.
b)
7
9
b)
6.
3 3
5 , 5
a)
b)
4.
a)
AP Book NS5-63
page 202
shaded
OR
3.
not triangles
3.
3
5 are shaded;
4.
1
2
Er
Teacher to check.
– Final line should
be 3 cm long.
Teacher to check.
– Final line should
be 6 cm long.
5.
1
12
b)
7
12
1
1
Yes: 12 > 12 = 2
a)
Smiths: 5
b)
6.
2
4.
3
8
a)
1
3
6 = 2
b)
1
3
6 = 2
7.
7
12
8.
a)
1
3
6 = 2
b)
1
2
6 = 3
c)
1
6
d)
1
2
6 = 3
1
Does show 3 :
the circle is cut
into three equal
pieces and one
piece is shaded.
6
7
c)
9.
Teacher to check.
10.
NOTE:
In the following two
answers, the sequence
of shapes is irrelevant.
a)
b)
4.
a)
1
8
b)
12
12
c)
5
125
5.
The fraction with the
smaller denominator is
greater.
6.
a)
1 2 3
3 , 3 , 3
b)
2
5
9
1
10 , 10 , 10 , 10
c)
1 1
1
13 , 7 , 3
d)
2
2 2
2
16 , 11 , 7 , 5
a)
2
3
b)
11
17
c)
6
18
7.
8.
50
45
1
2 = 100 > 100
9.
Yes, since the pies can
be very different sizes:
1
= 16 of the figure.
1
Does show 3 :
the circle is cut
into three equal
pieces and one
piece is shaded.
Doesn’t show 3 :
there are four
pieces in the pie.
A single small triangle
Sinhas: 3
1
Doesn’t show 3 :
there are three
pieces but they’re
not the same size.
a)
The fraction with the
larger numerator is
greater.
First, divide the
trapezoid into
equal-sized triangles:
3
5 are triangles
1
3
3.
a)
1
2
b)
2
3 but may vary.
c)
1
3
d)
20
4
=
25
5
AP Book NS5-64
page 203
1.
5
6 has the greater
>
AP Book NS5-65
page 204
1.
2.
numerator and is also
the greater fraction.
Sample Explanation:
Since both fractions
have the same
denominator, the
fraction with the greater
numerator is greater.
2.
a)
9
16
b)
5
8
c)
24
25
d)
37
53
3.
a)
2
b)
3
c)
1
a)
24
b)
14
c)
13
d)
48
e)
24
f)
54=52
g)
12
1
3
2
3
3
2
1
1
a)
b)
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
c)
4.
d)
e)
f)
4.
1.
b)
2.
3.
h)
8 quarters
33 , 3
10
i)
20 quarters
11
j)
11 quarters
k)
21 quarters
AP Book NS5-70
page 209
l)
23 quarters
1.
1
3
2
8
6
30
2
14
c)
16 cans
f)
d)
9 cans
e)
13 cans
f)
19 cans
Teacher to check
shading.
7
2
c)
5
3
b)
11
4
d)
15
8
c)
12
5
e)
19
8
d)
27
8
f)
13
8
g)
13
4
h)
28
8
Teacher to check
shading.
1
a)
33
b)
2
4
36 =33
c)
24
d)
2
35
4.
1
3 2 is greater
e)
b)
2 5 is greater
c)
14
3 is greater
c)
19 cans
6.
a)
A 3 cup
b)
14 scoops
1.
2.
3.
3 whole pies
b)
4 whole pies
c)
6 whole pies
d)
3 whole pies
e)
5 whole pies
f)
4 whole pies
a)
3; 1; 3 2
b)
4; 1; 4 3
c)
3; 2; 3 3
d)
3
3; 3; 3 4
a)
1
2 2
1
4 2
2 halves
4 halves
c)
c)
6 halves
1
3 3
d)
3
2 4
e)
3
2 5
7 halves
f)
9 halves
a)
3 thirds
b)
17
c)
17
6
a)
12 , 2
b)
13 , 3
c)
16 , 6
1
3
2
5
5
11
b)
d)
e)
f)
g)
h)
4.
a)
1
b)
1
c)
2
a)
e)
3.
a)
c)
a)
b)
5 halves
2.
1
b)
d)
5.
AP Book NS5-69
page 208
4
AP Book NS5-68
page 207
13 cans
17 cans
11 pens
Teacher to check
pictures.
a)
a)
b)
5.
1
d)
2.
8 cans
12 cans
1 25
38 , 8
a)
d)
a)
b)
34 , 4
7
4
1.
3.
e)
b)
c)
1
3
4 quarters
5
2
b)
c)
g)
a)
a)
1
5
14 thirds
38 , 8
f)
b)
f)
d)
4.
3
7
7 thirds
d)
c)
a)
e)
23 , 3
b)
12
25 , 5
5 thirds
c)
a)
2
b)
9 thirds
d)
c)
3.
11
24 , 4
c)
24 , 4
2.
3
a)
6 thirds
b)
AP Book NS5-66
page 205
1.
a)
4.
b)
Fractions (b) and (c) are
greater than a whole
since the numerator is
greater than its
denominator.
AP Book NS5-67
page 206
a)
page 2
(continued)
d)
Teachers to check sketches
for Questions 5 to 12.
5
5.
1 6 is greater
6.
14
6 is greater
7.
26
8.
1
6
9.
1
3
5
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
10.
8
2
3 =23
c)
2
1
10 = 5
11.
Ahmed
d)
12.
11 pieces
4
2
6 = 3
e)
10
5
12 = 6
AP Book NS5-71
page 211
1.
2.
a)
1
4
b)
3
5
c)
1
3
a)
7.
8.
f)
6
3
8 = 4
a)
1
2
3 = 6
b)
2
6
3 = 9
4.
b)
5.
1
2
2 = 4
a)
Answers may vary.
2 1
6, 3
1.
2.
Answers may vary.
Sample Answer:
3.
a)
4.
b)
1
2
c)
1
3
d)
3
5
e)
3
7
f)
2
3
6 3 2 1
12 , 6 , 4 , 2
9.
M M
OM
M
O
M M
a)
3
1
6 = 2
3.
d)
6
2
9 = 3
e)
9
4
5
a)
2; 3 ; 6, 4
b)
1
4 , 2;
Teachers to check drawings.
2.
a)
1
2
3
4
2 = 4 = 6 = 8
b)
1
2
3
4
3 = 6 = 9 = 12
a)
4
6
b)
6
8
c)
6
9
3.
a)
5
10
c)
4
10
8
4
10 = 5
d)
6
8
a)
2
1
8 = 4
e)
3
12
b)
2
1
6 = 3
Teacher to check.
8.
Teacher to check.
9.
a)
2 didn’t drink juice
or water
b)
1 didn’t drink juice
or water.
10.
1 didn’t drink juice or
water.
11.
5 cone shaped shells
1
3 , 3;
d)
3
5 , 10, 6
e)
3
4 , 12, 9
a)
AP Book NS5-74
page 217
1.
$6
2.
a)
6 oranges
b)
4 oranges
3.
Teacher to check
the drawing.
4.
7 are green
5.
1 4 of a year,
6 squares are blank
b)
4.
5.
6.
3
or 21 months
d)
2
6
b)
7.
2
M
AP Book NS5-72
page 213
c)
2
1
6 = 3
l)
c)
1.
b)
12
15
18
20 = 25 = 30
2
3 , 9, 6
One (1) piece has both
olives and mushrooms:
9
14
b)
4 2 1
8
24 , 12 , 6 , 3
6
i)
6
3
4
c)
h)
k)
a)
Sample Answer:
4
2
6 = 3
6.
Answers may vary.
3
j)
3
4 , 8, 6
Answers may vary.
Teacher to check.
Sample Answer:
5.
c)
4
5
g)
3
6
9
5 = 10 = 15 =
Teacher to check.
4 2 1
8, 4, 2
Teacher to check
groupings.
1
2
3
4
2 = 4 = 6 = 8 =
AP Book NS5-73
page 214
c)
b)
a)
5
6
10 = 12
Sample Answer:
b)
page 3
(continued)
6.
9 months
7.
40 minutes
8.
4 stickers
9.
2
4
10 and 5 are equivalent
a)
fractions
10.
7:51
b)
11.
No, she has 7 left,
which is more than half.
Teacher to check
drawings.
12.
12 marbles are blue.
a)
2
b)
5
AP Book NS5-75
page 218
c)
4
1.
a)
<
>
d)
9
b)
a)
6
c)
<
6
d)
>
c)
10
2.
2 1
5, 2
d)
4
3.
3 3
5, 4
4.
a)
b)
e)
15
f)
4
2 2
1
4; 4 > 4
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
5.
b)
4 4
5
6; 6 < 6
d)
7
8
a)
3
4
6 < 6
e)
10
11
b)
4
5
8 < 8
f)
14
17
c)
2
3
4 < 4
g)
21
24
d)
5
4
10 > 10
h)
31
57
AP Book NS5-79
page 222
e)
6
3
12 > 12
a)
2
4
1.
f)
3
4
9 < 9
b)
1
5
g)
2
7
10 < 10
a)
1
3
h)
2
4
10 < 10
b)
2
5
i)
4
7
16 < 16
c)
3
7
d)
3
8
e)
7
12
f)
2
19
g)
6
28
h)
5
57
4.
5.
AP Book NS5-76
page 219
1.
2.
3.
a)
2
4
b)
3
6
c)
2
6
d)
3
9
7.
2.
e)
3
12
a)
3 2
6; 6
1.
Teacher to check.
b)
2 1
4; 4
2.
a)
c)
3
8
12 ; 12
d)
4
5
10 ; 10
a)
3 2
6 >6
b)
3
4
12 > 12
c)
2
5
10 > 10
1.
3
4
2.
a)
b)
3.
4.
1
3, 3 4
4
d)
tenths
e)
hundredths
f)
ones
g)
ones
h)
hundredths
i)
tenths
a)
tenths
b)
hundredths
c)
tenths
d)
hundredths
e)
hundredths
f)
tenths
g)
tenths
h)
ones
i)
hundredths
1.
b)
c)
d)
9
4
7
c)
0
3
6
5
b)
17 fifths
c)
13 thirds
a)
3 2 1
10 , 5 , 2
2
4
2
3
d)
3
2
10
(c) 4
2.
2.
b)
23
100 ; 0.23
c)
38
100 ; 0.38
d)
64
100 ; 0.64
e)
39
100 ; 0.39
f)
76
100 ; 0.76
Teacher to check
shading.
a)
0.38
b)
0.45
c)
0.05
67 hundredths =
6 tenths
7 hundredths
a)
5;3
53
100 = 0.53
b)
2;7
27
100 = 0.27
AP Book NS5-80
page 223
64
100 ; 0.64
83 hundredths =
8 tenths
3 hundredths
67
100 = 0.67
b)
a)
63 hundredths =
6 tenths
3 hundredths
83
100 = 0.83
0
1 1 5
3, 2, 6
32 hundredths =
3 tenths
2 hundredths
63
100 = 0.63
0
1.
a)
32
100 = 0.32
e)
c)
5
7
ones
11 quarters
3
5
c)
c)
Teacher to check.
AP Book NS5-81
page 224
a)
5
2
b)
tenths
0
b)
3
4
b)
3
2
5
6.
hundredths
2
a)
4
5
a)
d)
1 5 3
2, 8, 4
a)
3.
12
100 ; 0.12
4.
75, 8
c)
5.
11
100 ; 0.11
54
100 ; 0.54
b)
b)
23
100 ; 0.23
3.
4 divided by 13 is 3
Remainder 1.
3 is the whole number,
which in this case
represents whole pies.
AP Book NS5-78
page 221
AP Book NS5-77
page 220
3.
page 4
(continued)
c)
6;5
65
100 = 0.65
d)
9;0
90
100 = 0.90
e)
0;6
6
100 = 0.06
f)
0;3
3
100 = 0.03
3.
a)
5;2;
52 hundredths
b)
4;4;
44 hundredths
c)
3;0;
30 hundredths
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
d)
2;3;
23 hundredths
e)
0;5;
5 hundredths
f)
e)
Teacher to check.
2.
a)
7
70
100 = 10
b)
4
40
100 = 10
c)
2
20
100 = 10
d)
9
90
100 = 10
a)
80
100 , .80
b)
20
.2, 100
c)
60
.6, 100
d)
70
.7, 100 , .70
e)
.4, 10 , .40
3.
f)
8 hundredths
f)
13 pennies
13 hundredths
0.93
f)
0.08
g)
0.88
h)
0.04
4.
Circle: c), f), g), j)
5.
Answers will vary.
a)
5
10
b)
3
10
AP Book NS5-85
page 228
c)
6
10
1.
d)
21
1100 = 1.21
2
10
b)
1100 = 1.38
e)
1
10
c)
59
100 = 0.59
f)
34
100
d)
40
2100 = 2.40
9 dimes 0 pennies
g)
e)
9 tenths
0 hundredths
59
100
5100 = 5.64
h)
77
100
2.
Teacher to check.
90 pennies
i)
84
100
3.
a)
2.98 = 2 100
j)
31
100
b)
1.08 = 1 100
1 tenths
7 hundredths
k)
8
100
a)
2.57
b)
3.17
17 pennies
l)
3
100
c)
5.30
m)
9
100
d)
1.03
5
100
e)
2.07
n)
f)
19.90
2 tenths
0 hundredths
o)
1
100
g)
35.01
7
10
87.06
20 pennies
p)
h)
20 hundredths
q)
3
10
r)
6
100
s)
8
10
t)
8
100
u)
6
10
v)
46
100
w)
5
100
x)
9
10
y)
6
10
a)
0.50
5 pennies
b)
0.40
5 hundredths
c)
0.60
d)
0.90
2.
a)
4 dimes 0 pennies
4 tenths
0 hundredths
40 pennies
40 hundredths
b)
90 hundredths
3.
4
3
.3, 10 , .30
1 dimes 7 pennies
17 hundredths
40
** is less than **
h)
90
.9, 100 , .90
2 dimes 0 pennies
i)
30
3
10 , 100 , .30
4.
62 pennies
62 hundredths
5 dimes 7 pennies
5 tenths
7 hundredths
57 pennies
57 hundredths
0 dimes 5 pennies
0 tenths
5 hundredths
Answers may vary.
Sample:
Tonya forgot that
.7 = .70, which is greater
than .53.
6 dimes 2 pennies
6 tenths
2 hundredths
d)
2.
1 tenths
3 hundredths
.4, 100 , .40
c)
7
100 = 0.07
1 dimes 3 pennies
g)
b)
21
100 = 0.21
e)
a)
AP Book NS5-83
page 226
1.
60
100 = 0.60
8 pennies
AP Book NS5-82
page 225
1.
56
100 = 0.56
0 dimes 8 pennies
0 tenths
8 hundredths
0;8;
8 hundredths
page 5
(continued)
AP Book NS5-84
page 227
1.
Tenths
Hund.
a)
5
6
b)
6
0
c)
2
1
d)
0
7
3.
4.
5.
38
64
98
8
Teacher to check
pictures
a)
3 tenths
b)
0.7
c)
1.80
AP Book NS5-86
page 229
1.
8
A: 10 = .8
4
B: 110 = 1.4
1
C: 2 10 = 2.1
7
D: 2 10 = 2.7
2
E: 10 = 0.2
1
F: 110 = 1.1
8
G: 110 = 1.8
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
2
H: 210 = 2.2
2.
3
5
9
i)
210 , 210 , 210
a)
.70 is greater
2.
Teacher to check.
3.
A: five tenths
b)
.60 is greater
B: one whole and
seven tenths
c)
.82 is greater
b)
.6 = .60 = 100
c)
.5 = .50 = 100
a)
20
35
80
100 , 100 , 100
3.
C: two whole and
eight tenths
BONUS:
4.
4.
1.
2.
3.
4.
5.
3.
b)
90
25
27
100 , 100 , 100
c)
1100 , 1100 , 1100
22
30
39
b)
.5
D: 2 = .5 = .50
a)
Zero
Teacher to check shading.
b)
Half
c)
One
1
2
20
F: 5 = 10 = 100
1
d)
Half
e)
One
Teacher to check shading.
f)
Zero
a)
<
b)
>
c)
>
d)
>
<
f)
<
g)
>
h)
<
a)
1
b)
2
7.
a)
4
40
2
5 = 10 = 100
b)
6
60
3
5 = 10 = 100
c)
8.
9.
2
AP Book NS5-88
page 231
a)
3
5
7
10 , 10 , 10
b)
3
1
9
10 , 10 , 10
c)
6
2
3
10 , 10 , 10
10
2
1
5
2
5
7
d)
110 , 310 , 310
e)
110 , 110 , 110
f)
7
1
5
10 , 110 , 310
1
c)
30
d)
3.8
e)
f)
b)
2.4;
2
3
g)
110 , 110 , 110
h)
7
2
5
110 , 310 , 410
4.
1
4 = 0.25
75
3
4 = 100
3
4 = 0.75
5.
0.68
0.49
4.2
b)
0.87
0.7
c)
0.58
d)
0.89
e)
0.79
a)
b)
.52 is greater
c)
.42 is greater
d)
.7 is greater
e)
.23 is greater
f)
.52 is greater
c)
8.7;
14 tenths
+ 73 tenths
= 87 tenths
d)
1.5;
25 tenths
- 10 tenths
= 15 tenths
e)
3.4;
76 tenths
- 42 tenths
= 34 tenths
f)
7.5;
89 tenths
- 14 tenths
= 75 tenths
b)
1
3
4 , 5 , .63
c)
.35 , 5 , 2
2
AP Book NS5-89
page 233
1.
13 tenths
2.
a)
47
1.7
b)
1.2
0.99 L
6.
0.56 m = 100 m
c)
3.7
d)
0.8
a)
2.3
56
56
56
112
100 + 100 = 100 > 1
Two snakes would have
a length more than one
metre long.
AP Book NS5-91
page 235
1.
Teacher to check
crossing out.
a)
40
100
b)
10
100
c)
26
100
2.
b)
.32 – .22 = .1
c)
.79 – .53 = .26
3.
b)
0.54
c)
7.1
c)
0.23
d)
4.3
d)
0.54
e)
8.6
e)
0.16
0.9
f)
0.26
g)
0.33
AP Book NS5-90
page 234
h)
0.27
i)
0.18
1.
j)
0.64
f)
1
.32 , 2 , .7
a)
5.
7.8
Teacher to check
explanations.
a)
13 tenths
+ 11 tenths
= 24 tenths
b)
Teacher to check
fraction conversions.
1
2 is greater
1.39
h)
4.
Teacher to check arrows
for next two questions:
8
80
4
5 = 10 = 100
25
1
4 = 100
g)
a)
1
D: 5 = .2 = .20
e)
71
1
5
50
F: 2 = 10 = 100
.1, .2, .3, .4, .5, .6,
.7, .8, .9
6.
b)
50
a)
c)
1.
60
Teacher to check.
AP Book NS5-87
page 230
page 6
(continued)
Teacher to check
shading.
b)
37
67
30
100 + 100 = 100
c)
31
93
62
100 + 100 = 100
d)
2.
1
3.
4.
37
81
44
100 + 100 = 100
k)
0.56
l)
0.71
a)
.37
b)
.59
c)
.08
.14
b)
.3 + .37 = .67
d)
c)
.62 + .31 = .93
e)
.28
d)
.44 + .37 = .81
f)
.02
b)
0.95
g)
.95
c)
1.14
h)
.44
d)
0.79
a)
0.65
0.28
0.59
5.
e)
0.66
b)
f)
0.98
c)
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
page 7
(continued)
AP Book NS5-92
page 236
AP Book NS5-94
page 238
f)
8.4
g)
9.36
1.
Teacher to check base
ten models.
1.
a)
h)
12.96
b)
100 × 0.03 = 3
a)
2.47
b)
2.
a)
70
b)
2.79
= 6 ones
+ 15 tenths
= 7 ones
+ 5 tenths
= 7.5
2.
3.
Teacher to check base
ten model.
b)
1.21
a)
7.69
b)
7.23
c)
1.71
d)
2.04
e)
5.32
f)
11.90
g)
16.09
h)
2.47
i)
8.57
j)
13.61
4.
0.9 m
5.
16.78 m
6.
a)
.2, .4, .6, .8, 1.0, 1.2
b)
.3, .6, .9, 1.2, 1.5,
1.8
3.
100 × 0.02 = 2
b)
180
c)
460
d)
3
e)
625
f)
307
g)
7
h)
6
i)
6.7
j)
95
k)
182
l)
407
n)
50
n)
70
o)
18
p)
190
q)
60
r)
170
a)
15.2 cm
b)
375 mm
AP Book NS5-93
page 237
c)
5 mm
d)
0.8 cm
1.
2.
3.
4.
5.
a)
2
e)
60 mm
b)
3
f)
12.3 cm
c)
6
a)
a)
5
b)
7
c)
14
d)
9
When multiplying a
number by 100, the
decimal shifts two
places to the right
(as shown in
question 2).
e)
17
f)
16
g)
182
h)
173
i)
235
j)
17.2
k)
426
l)
53.6
a)
.6 dm = 6 cm
b)
.8 dm = 8 cm
c)
1.6 dm = 16 cm
3
Teacher to check.
4.
b)
5.
c)
d)
3.
a)
b)
4.
5.
See a)
The decimal moves two
places to the right
because, one decimal
shift represents x 10 thus
two decimal shifts
represents x 100.
AP Book NS5-95
page 239
1.
2.
2.
3.
= 6 ones
+ 21 tenths
= 8 ones
+ 1 tenths
= 8.1
= 8 ones
+ 24 tenths
= 10 ones
+ 4 tenths
= 10.4
= 6 O + 15 T + 3 H
=7O+5T+3H
= 7.53
= 8 O + 4 T + 16 H
=8O+5T+6H
= 8.56
c)
= 5 O + 20 T + 5 H
=7O+0T+5H
= 7.05
a)
10.35
b)
30.48
c)
25.86
d)
9.75
a)
10.5
4.
d)
.4 ÷ 10 = .04
e)
.5 ÷ 10 = .05
Teacher to check
picture.
b)
2.4 ÷ 10 = .24
b)
0.05
c)
0.07
d)
0.13
e)
0.76
f)
1.2
g)
0.9
h)
0.6
i)
4.2
j)
1.7
k)
0.09
l)
2.73
a)
5 cm = .5 dm
b)
1.7 cm = 0.17 dm
c)
3.5 mm = .35 cm
d)
2 mm = .2 cm
5.
0.27 m
6.
2.5 m
AP Book NS5-97
page 241
1.
Teacher to check,
using Teacher’s Guide
for reference.
2.
a)
1.44
b)
24.9
b)
1.56 R 0.01
c)
37.5
c)
1.24 R 0.03
d)
25.29
e)
25.2
f)
g)
d)
1.66
a)
0.18
20.4
b)
1.34 R 0.01
12.8
c)
0.34
h)
31.75
d)
0.68 R 0.01
i)
23.70
e)
4.1
j)
21.04
4.
$0.55
k)
93.63
5.
15.6 km
l)
49.28
6.
$7.29
7.
Since $4.98 ÷ 6 = $0.83
and $6.96 ÷ 8 = $0.87,
6 is a better deal.
3.
AP Book NS5-96
page 240
a)
2.86
b)
3.6
c)
5.05
b)
3.0 ÷ 10 = .3
AP Book NS5-98
page 243
d)
8.4
c)
.3 ÷ 10 = .03
1.
e)
10.68
1.
Teacher to check
pictures.
a)
tenths
b)
thousandths
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
c)
tenths
d)
d)
thousandths
e)
0.74
e)
ones
f)
0.41
f)
hundredths
g)
4.24
2.
a)
3.
4.
83 cm = 100 m
= .83 m
a)
9.6 dm
b)
3.5 dm
h
th
h)
2.97
c)
9.3 cm
6
5
1
2
i)
11.96
d)
1.97 m
a)
5 dm = 50 cm =
500 mm
a)
0.8
0
b)
2.7
0
6
c)
1.42
b)
20¢
7
6
3
d)
0.73
c)
30 cm = 3 dm
0
5
3
0
e)
0.36
d)
700 000
9
0
2
0
f)
0.21
e)
800
a)
0.01
f)
30 cm = 3 dm
0
8
1
c)
2
8
3
d)
1
3
e)
1
f)
g)
2.
3.
4.
h)
8
0
0
0
i)
4
0
8
1
j)
2
a)
725
1000
b)
237
1000
4.
Teacher to check.
c)
52
1000
5.
a)
d)
6
1000
b)
c)
3.8, 3.9, 4.0
d)
9.9, 10.0, 10.1
e)
4.74, 4.75, 4.76
f)
5.99, 6.00, 6.01
C:
Six and five tenths
a)
4.0
D:
Seven
b)
5.0
8.
Teacher to check.
6 ones +
2 tenths +
5 hundredths +
3 thousandths
c)
9.03
9.
a)
d)
3.80
b)
10 520.15
e)
6.10
c)
6 308.10
a)
0.94
f)
8.00
d)
407.02
b)
.05
c)
.875
d)
.025
a)
>
b)
<
c)
<
d)
>
e)
>
f)
>
a)
0
1
1
2 tenths +
3 hundredths +
7 thousandths
5 tenths +
2 hundredths +
3 thousandths
AP Book NS5-99
page 244
1.
3.
83
f)
t
4
c)
6.
0.99
o
b)
b)
5.
page 8
(continued)
a)
0.74
b)
0.45
c)
0.16
6.
b)
0.1
a)
.30
c)
0.01
b)
.3
d)
0.01
c)
.70
e)
1.0
f)
0.1
5.
d)
1.40
a)
3.0
b)
4
.5, .6, .7
c)
3
6.9, 7.0, 7.1
d)
8
A:
Five and two tenths
B:
Five and nine
tenths
6.
7.
10.
3 207.02
a)
>
AP Book NS5-100
page 245
b)
<
c)
>
1.
Teacher to check.
d)
<
2.
a)
1 cm = 10 dm
= .1 dm
b)
100 cm = 10 dm
= 10 dm
c)
1
11.
100
1
1 mm = 10 cm
= .1 cm
16
d)
16 mm = 10 cm
= 1.6 cm
e)
77 mm = 100 dm
= .77 dm
77
12.
AP Book NS5-101
page 247
1.
7 × 0.67 = 4.69 m
2.
Yes (1.02 cm)
3.
$62.93
4.
4 pens for $2.96
5.
34.5 km
6.
Tim must have
calculated 6.42 + 71.9.
7.
Decimal notation is used
for money because not
every monetary amount
is a whole number.
Dollar
Dollar
8.
a)
26.1 m
b)
About 4 times longer
c)
About 9 m
AP Book NS5-102
page 248
1.
2.
3.
a)
$5, $10, $15, $20
b)
6¢, 12¢, 18¢, 24¢
c)
20¢, 40¢, 60¢, 80¢
d)
90
e)
$60
f)
72 students
g)
60 cups of water
a)
1 cm; 60 m
b)
About 5.5 cm;
330 m
c)
8.8 cm; 528 m
$44
4.
$120
5.
a)
$5
b)
$3
c)
$2
129 (when dividing by
10, you shift the decimal
over one place to the
left)
AP Book NS5-103
page 249
a)
0.09 < 0.1
1.
b)
21.2 – 21.1 = 0.1 m
b)
8.4 cm : 16.8 km
c)
Teacher to check.
c)
2.5 cm : 5 km
d)
Olympic shot put
throws are thrown
roughly the same
distance, so a very
precise measuring
system is required.
d)
8 cm + 0.6 cm +
3.4 cm
= 12 cm : 24 km
a)
200 km
b)
250 km
c)
25 km
2.
a)
9 cm : 18 km
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
d)
e)
125 km
e)
5
2 to 1;
AP Book NS5-104
page 250
1.
a)
Cups of
Flour
Cups of
Cherries
1
2
3
2
4
6
3
6
9
1.
a)
12
a)
i)
1
22
2
17
12
3
12
4
7
5
2
quarters
nickels
0
14
2
7
3
2
dimes
nickels
0
9
1
9
1
7
2
4
2
5
dimes
nickels
0
13
1
11
2
9
3
7
4
5
2.1 kg per day;
2.07 kg per day
c)
Multiply # of pies
by 2
ii) 2.07 kg
3
3
iii) 2.1 kg
4
1
d)
15
e)
No. Andy needs
10 cups of flour to
make pies with
15 cups of cherries.
iv) 2.1 – 2.07 =
0.03 kg
nickels
pennies
b)
He can make 4 pies
and will have 1 cup
of flour left over.
b)
2.
90 kg / 2. kg
= 45 times more
kilograms
c)
30 × 2.07 kg + 3 kg
= 65.1 kg
a)
25
6 to 4;
b)
2000, 2001, 2002
6
3
4 to 1 or 2 to 1;
c)
1998 – 2004
d)
c)
1.5 to 1;
AP Book NS5-106
page 252
1.5
1.
13 to 4;
13
4 to 1;
1
34 to 1;
d)
a)
75.35 km
b)
25.12 km
c)
25.12 / 6 = 4.19 km
≈ 4 km
d)
30 kg
3.25 to 1;
2.
9 beads
3.25
3.
$2.99
20 to 8;
4.
Since there are 144
students (6 × 24 = 144),
and there is room for
120 students on four
buses (30 × 4 = 120),
there is not enough room
for all six classes to ride
on four buses.
20
8 to 1;
5
2 to 1;
1
22 to 1;
2.5 to 1;
2.5
5.
$21.40
6.
$8.90
7.
1.25 m
8.
9.1 kg
9.
33.6 km
10.
1799
e)
f)
2.
b)
c)
0
23
1
18
5
3
2
13
6
1
3
8
4
3
loonies
toonies
1
6
3
5
5
4
7
3
dimes
pennies
0
32
1
22
2
1
12 to 1;
27
17
Multiply # of pies
by 3
c)
pennies
0
0
2.5
1.
nickels
pennies
2.5 to 1;
AP Book NS5-105
page 251
a)
nickels
1
b)
3.
b)
f)
2.
8
AP Book NS5-107
page 253
1
22 to 1;
# of
pies
4
15 to 6;
15
6 to 1;
225 km
page 9
(continued)
d)
9
2
12
11
1
3
2
13
0
quarters
nickels
First
Second
6
4.
a)
0
13
1
1
8
2
3
2
3
3
2
quarters
nickels
First
Second
1
8
0
17
2
4
1
12
3
-
2
7
4
2
3
2
quarters
nickels
0
12
1
7
2
2
He stops at 2 quarters
because 3 quarters
is 75¢ (larger than 60¢).
b)
5.
6.
quarters
dimes
0
7
a)
1
-
2
2
quarters
dimes
0
8
1
-
2
3
3
-
Answer Key for AP Book 5.2
Number Sense – AP Book 5.2
b)
7.
8.
a)
b)
c)
d)
9.
quarters
dimes
0
-
AP Book NS5-108
page 255
1
8
1.
2
-
b)
3, 3
3
3
c)
3, 4
a)
d)
6, 2
a)
9 876
L
1
16
2
8
b)
1 023
3
–
c)
8 796
4
4
3.
d)
9 684
a)
Start at any
end and read
clockwise:
5, 4, 1, 6, 3, 2
First
Second
1
12
2
6
3
4
b)
4, 5, 2, 3, 6, 1
4
3
c)
5, 3, 4, 2, 6, 1
6
2
12
1
First
Second
1
14
2
7
4.
Box of
4
Box of
5
a)
2
-
b)
-
2
c)
-
-
d)
1
2
e)
3
1
f)
2
2
g)
1
3
h)
4
1
7
2
14
1
First
Second
1
20
2
10
4
5
5
4
10
2
6.
10
20
1
7.
a)
First
Second
1
24
2
12
3
8
4
6
6
4
8
3
12
2
24
1
5.
page 10
2, 4
W
2.
(continued)
11 numbers:
100, 111, 122, 133, 144,
155, 166, 177, 188, 199,
200
1114
b)
5555
c)
Teacher to check.
Sample:
3963, 3936, 3693,
3639.
6 (6x6x1x1)
5 (5x5x2x2)
4 (4x4x3x3)
10.
5 (5x2) 10 (10x1)
Answer Key for AP Book 5.2