. •••I. -
r
Using Decimals and Fractions
#
Represent and write amounts as equivalent
decimals and equivalent fractions.
mttummtmvnrtKmmvAiWtnvAm
iUVM'rAmnmmimtmwamiwu
1. Each square on the
thousandths grid
represents 0.001,
o
r
imwmivAMtmmvjnMunMWiw
VArAuimuwmmvAWMimumnw
You can compare decimal
thousandths with fractions
that have a denominator of
1000.
1000'
or one thousandth.
a) Shade ^
grid.
ftHiEffllllflllk.
on the
For example:
0.003 is the same as
b) What is the decimal form of ^ ?
c) What is an equivalent fraction for
0.1)00
300
600 f) Lf\f)
_v
5
0,00^
c)
0400
1000
1000
80
b)
' 1000
1000
3. Write a fraction in thousandths for each decimal.
a)
a) 0.050 /OOP
c) 0.192
(QQQ
b) 0.009
d) 0.700
/OdO
/GOO
25
0.025 is the same as 70 0 0 '
0.700 is the same as
2. Write a decimal thousandth for each fraction.
Use the thousandth grid to help you.
1000"
700
1000'
mi \1
l lllllllllllllllllllllllllllllll 1 '
Hjlllllllllll^
1
"Mlliill lllllllli'ililhliliill "1
1
1 1
+ l!
"t|||||||||||||l||^
^t||||||||j|||||l|||M
"t||||i|||||||||i|^
41 111 111 111 111 11 il
1
1
1
11
4tf
4. Write a fraction in hundredths for each decimal.
C) 0.700
a) 0.040
b) 0.120
60
100
Nelson Math Focus 5 Workbook
d) 0.540
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Copyright © 2009 by Nelson Education Ltd.
1
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Using Equivalent Decimals
•-. .if--
Compare and order fractions and decimals using
equivalents.
1. Compare 77350 and 0.09.
a) Rename
1000
as a decimal.
o,oo9
Compare the t w o numbers.
Which number is less?
0*001
b) Rename 0.09 as a fraction in thousandths.
To compare a fraction with a
decimal, you can rename the
fraction as a decimal. Or, you
can rename the decimal as a
fraction.
For example:
Compare the t w o numbers.
Which number is less?
g
9
\00O
2. Compare each pair of numbers using <, >, or =.
1
\
0.001
a)
c) £ 0 3 3 £
1000
1000
looo
\ OOO
4
d) 0.1
< 0.05 i>
b)
100
100
»o
\00
3. Sydney has 7 dimes, or 0.70 of
Owen has 42 pennies, or 7^5" of a dollar.
Who has more money? Explain.
To
x tji
Too
Which
is greater,
or eight
0.055?
Solution
1: 7
7
5 means
tenths, or 0.8.
0.8 is greater than 0.055.
Solution 2: 0.055 means 55
55
thousandths, or 75075.
± is equivalent to «jjL.
m
is greater than TJO-
Co svdneu kas more ....
~ la
loo
4. There are 1000 students at Lakeview School.
0.40 of the students have a pet cat.
70 of the students have a pet hamster.
Do more students have cats or hamsters? Show your work.
.
CO.t.
/
Hoo>7o
So more, rfudenh
Copyright O 2009 by Nelson Education Ltd.
hai/^
cat?
Chapter 7: Fractions
61
Fraction/Decimal Worksheet Answer Key 2
Page 1 of 1
A n s w e r Key f o r D e c i m a l / F r a c t i o n W o r k s h e e t 2
The decimal expansion is rounded to 8 decimals, so it m a y or m a y n o t show t h e repeating p a t t e r n f o r n o n - t e r m i n a t i n g decimals, and it m a y or may
not show all the decimal digits for t e r m i n a t i n g decimals.
la.
411
„
— — = 0.411
1000
2a.
-rz^r
rt
290
= 0.29
1000
47
lb. T T 7 7 = 0 . 4 7
100
2b.
3b.
51
= 0.51
100
-rfr
lc. ^
5a.
=
-
0
. 3
4b.
6
^ = 0 . 9
= 0.6
5b.
301
202
-JR-
.
1000
= 0.301
= 0.1
20. -
3C
4a.
= 0.797
2
4c. - —
100
0.202
= 0.02
974
- ^ = 0.7
_ 0.974
5 c
1000
6a.
A
= 0.8
7a.
-
= 0.5
7b.
705
8a
- ToOO
71
1000
= 0.72
= 0.071
16
=
°'
7
49
9a.
463
72
6b. —
= 0.49
0
5
8b
- 100
9b.
= 0
"
1 6
^ = 0 . 9 5
http://www.homeschoolmath.net/worksheets/decimal_answer_key_2.php
6c
- w
= °-
463
7c.
356
= 0.356
1000
8c.
719
= 0.719
1000
566
9c
' Tooo = ° -
566
4/11/2014
Fraction/Decimal Worksheet Answer Key 3
Page 1 of 1
A n s w e r Key f o r D e c i m a l / F r a c t i o n W o r k s h e e t 3
The answers have been simplified if the
d e n o m i n a t o r is less t h a n or equal to
1000.
l a
2a
.
0.774 = i|Z.
500
99
- °- = W
2b
1000
7 =
- °- To
3a. 0.932 = —
3b. 0 . 6 = |
193
4a, 0.965 = ~Sr
200
19
4b.
0.152
=
^
125
5a. 0.41 =
6a.
-
. 0.607 =
^'
l b
41
100
0.47 = ^
•
141
5b. 0.705 =
"
200
w
6b. 0.2 =
f
33
7a. 0.66 = ™
50
7b. 0.792 =
8a.
8b.
0.165 = ^ 200
:
99
?
* ;
125
5
4
1
0.541 =
' "
1000
http://www.homeschoolmath.net/worksheets/deeimal_answer_key_2.php
4/11/2014
Page 1 of 1
Fraction/Decimal Worksheet Answer Key 4
A n s w e r Key f o r D e c i m a l / F r a c t i o n W o r k s h e e t 4
The decimal expansion is rounded to 8 d e c i m a l s , so it m a y o r m a y not show t h e repeating p a t t e r n for n o n - t e r m i n a t i n g decimals, and it m a y o r may
not show all t h e decimal digits f o r t e r m i n a t i n g decimals.
v
2
la.
—
2a.
-
= 0.2
= 0.8
= 0.7
3a. -
4a. JjjL = 0.82
5a
.
6a.
=
0.6
- = 0.25
4
lb.
61
—
= 0.61
= 0.3
2b. ^
22
3b. ~ r
4b.
3fc
= 0.88
= 0.39
—=0.1
5b.
6b. | |
= 0.92
1c.
1
- = 0.5
2c
JgL =
11
4c.
f
8a.
- ^ r = 0.56
9a. ^
= 0.64
= 0.9
4
„
=0.11
n
= 0.75
= 0.24
ZD
= 0.85
7b. §
T
6c
ZD
7a.
= 0.4
3c. -
5c.
0.52
24
7c. —
„
= 0.96
15
45
8b. —
= 0.45
8c
9b. T ^
= 0.29
9c. ^
http://w^vw.homeschoolmath.net/worksheets/decimal_answer_key_2.php
- Too = °-
15
= 0.12
4/11/2014