NUMBER AND ALGEBRA „ß2%!,ß.5-"%23
EXERCISE
6A
INDIVIDUAL
PATHWAYS
eBoo
k plus
eBook
Activity 6-A-1
Place value and
comparing decimals
doc-1771
Activity 6-A-2
More place value and
comparing decimals
doc-1772
Activity 6-A-3
Advanced place
value and comparing
decimals
doc-1773
Place value and comparing decimals
FLUENCY
1 WE1 Find the value of the 2 in each of the following.
a 5.2
b 19.12
c 0.02
e 0.982 047
f 491.7521
g 6.1342
i 27.003
j 12.14
k 1.8902
d 100.29
h 90.0002
l 897.014 12
2 Find the value of the 9 in each of the following.
a 0.9
b 14.98
c 6.1937
e 12.090
f 0.009 14
g 3.4629
i 39.214
j 9
k 900.76
d 18.89
h 1.276 89
l 90.612
3 WE2 For the following numbers write the value of each digit in words and numbers.
a 4.1
b 1.85
c 0.271
d 9.020
e 16.001
f 3.402 07
4 For each of the following numbers write the value of each digit in numbers.
a 0.4
b 2.7
c 6.80
d 5.23
e 0.763
f 2.108
g 19.910
h 0.1101
i 7.2964
j 0.330 24
k 300.03
l 12.276 403
5 WE3 Write the following numbers in expanded notation.
a 2.47
b 3.69
c 1.25
e 39.01
f 16.07
g 7.123
i 13.482
j 0.3062
k 0.1305
6 MC a Four tenths, 1 hundredth and 3 thousandths equals:
A 4.13
B 3.14
C 0.413
d 56.01
h 5.987
l 0.5002
D 0.314
b Five hundredths, 2 thousandths and 7 ten thousandths equals:
A 527
B 52.7
C 5.27
D 0.0527
E 314
E 0.527
7 Copy and complete the table by putting only one digit in each box.
Example
37.684
Tens
Units
3
7
.
a
0.205
.
b
1.06
.
c
74.108
.
d
0.108
.
e
50.080
.
Tenths
Hundredths
Thousandths
6
8
4
8 WE4 Find the largest number in each of the following.
a 0.24, 0.32, 0.12
b 0.76, 0.68, 0.91
c 0.57, 0.51, 0.59
d 0.92, 0.99, 0.93
e 0.192, 0.191, 0.901
f 0.660, 0.666, 0.662
g 0.1440, 0.1436, 0.1433
h 0.0392, 0.039 90, 0.0039
i 2.506, 2.305, 2.559
j 10.0023, 10.0231, 10.0233
k 0.110 43, 0.110 49, 0.110 40
l 0.102 36, 0.100 23, 0.101 09
9 WE5 Insert the appropriate < or > sign between each of the following pairs of numbers to
make true statements.
2.9
0.67
a 3.2
d 0.64
186
Maths Quest 7 for the Australian Curriculum
b 8.6
e 1.37
8.9
1.41
c 1.27
f 0.29
1.28
0.39
NUMBER AND ALGEBRA „ß2%!,ß.5-"%23
g 13.103
j 0.0101
13.112
0.0120
h 0.427
0.424
k 0.048 01 0.4801
i
l
0.580
1.3830
0.508
1.3824
10 Write the following in order from smallest to largest (ascending order).
a 0.21, 0.39, 0.17, 0.45, 0.33
b 0.16, 0.19, 0.27, 0.12, 0.22
c 0.314, 0.413, 0.420, 0.391, 0.502
d 0.613, 0.624, 0.690, 0.710, 0.677
e 0.821, 0.803, 0.811, 0.807, 0.902
f 0.1164, 0.1245, 0.1033, 0.1002, 0.1196
g 0.9864, 0.9812, 0.9943, 0.9087, 0.9189
h 0.4004, 0.4139, 0.4826, 0.4100, 0.4076
i 4.6249, 4.5097, 4.802, 4.6031, 4.0292
j 13.0294, 13.0291, 13.0229, 13.0299, 13.0929
k 0.004 65, 0.005 02, 0.003, 0.0056, 0.009
l 0.507, 0.61, 0.595, 0.5079, 0.617
11 Write the following in order from largest to smallest (descending order).
a 0.36, 0.31, 0.39, 0.48, 0.19
b 0.27, 0.38, 0.16, 0.02, 0.35
c 0.91, 0.97, 0.90, 0.95, 0.99
d 0.02, 0.29, 0.07, 0.13, 0.09
e 1.264, 1.279, 1.273, 1.291, 1.288
f 0.442, 0.437, 0.491, 0.406, 0.433
g 0.372, 0.318, 0.390, 0.309, 0.317
h 0.502, 0.556, 0.573, 0.602, 0.591
i 0.8207, 0.8889, 0.8823, 0.8217, 0.8448
j 0.7657, 0.6024, 0.0307, 0.1079, 0.7695
k 1.349 54, 1.486 59, 1.702 96, 1.843 21, 1.486 13
l 12.289 50, 12.208 64, 12.392, 12.002 36, 12.9092
12 MC The largest number in the following list; 0.4261, 0.4265, 0.4273, 0.4199, 0.3999 is:
A 0.4261
B 0.4199
C 0.4265
D 0.3999
E 0.4273
13 MC The smallest number in the following list; 0.4261, 0.4265, 0.4273, 0.4199, 0.3999 is:
A 0.4261
B 0.4199
C 0.4265
D 0.3999
E 0.4273
14 MC The following list; 0.4261, 0.4265, 0.4273, 0.4199, 0.3999 when arranged from smallest
to largest is:
0.4273, 0.4265, 0.4261, 0.4199, 0.3999
0.4273, 0.4261, 0.4265, 0.4199, 0.3999
0.3999, 0.4199, 0.4265, 0.4261, 0.4273
0.3999, 0.4199, 0.4261, 0.4273, 0.4265
0.3999, 0.4199, 0.4261, 0.4265, 0.4273
A
B
C
D
E
UNDERSTANDING
15 For each of the following numbers:
i State the place value of the zero.
ii Would the value of the number change if the zero wasn’t there? (Write yes or no.)
a 6.02
b 10.49
c 7.360
d 13.10
e 4.0
f 133.027
g 0.65
h 17.809
i 20
j 108.62
16 Write true (T) or false (F) for each of the following.
a 76.34 has 4 decimal places.
6
b
+ 3 + 4 is the same as 0.6304.
10
100
10 000
c 4.03 has the same value as 4.3.
Chapter 6
Decimals
187
NUMBER AND ALGEBRA „ß2%!,ß.5-"%23
d 29.60 has the same value as 29.6.
+ 8 + 4 .
100
1000
1090.264 51 has 5 decimal places.
e 1.2804 could be written as 1 +
f
3
10
REASONING
17 Year 7 girls competing in their school swimming sports recorded the following times in the
50-metre freestyle, backstroke and breaststroke events.
Time (seconds) recorded by contestants
Event
Carolyn
Jessica
Mara
Jenika
Robyn
Shelley
Kyah
Freestyle
37.23
39.04
40.90
38.91
37.45
37.02
37.89
Backstroke
40.23
43.87
44.08
42.65
41.98
40.29
41.05
Breaststroke
41.63
42.70
41.10
41.21
42.66
41.33
41.49
a Who won the freestyle event? How
much did she win it by?
b Who won the backstroke event? How
c
d
e
f
g
6B
much did she win it by?
Who won the breaststroke event? How
much did she win it by?
List the first 3 placings of the freestyle
event.
List the first 3 placings of the backstroke
event.
List the first 3 placings of the
breaststroke event.
Did any students obtain a placing in all three
events?
REFLECTION
What strategies will you use to
find the smallest decimal?
Converting decimals to fractions
and fractions to decimals
Converting decimals to fractions
■
■
■
■
■
188
Decimals can be written as single fractions by using place values.
Number
Ones
Tenths
Hundredths
0.3
0.
3
0
1.25
1.
2
5
The decimal 0.3 can be written as 3 .
10
The decimal 1.25 can be thought of as 1 +
2
10
+
5
100
=1+
20
100
+
5
100
= 1 25 .
100
In practice, the digits after the decimal point become the numerator and the place value of the
last digit gives the denominator.
Once decimals have been written as fractions or mixed numbers, they can be simplified by
dividing the denominator and numerator by the highest common factor.
Maths Quest 7 for the Australian Curriculum