Daily Math Practice: Day 4
1
Daily Math Practice
Grade 5
Workbook 6
Fractions and Decimals
Grade 5
Daily Math Practice: Day 4
2
Grade 5
Converting Fractions into Decimals
1.
Convert the following Fractions to Decimals by converting the Fractions into Fractions
with denominators of 10, 100 or 1 000:
a)
x
=
= _______________
b)
c)
x
=
= _______________
d)
e)
x
= _______________
f)
2.
a)
3.
a)
c)
x
x
=
= ________________
=
= ________________
x
= ________________
Convert the following Fractions to Decimals by using the division method:
=
= ___________
b)
=
= __________
Convert the following Improper Fractions to Decimals, using any method:
=
______________
=
______________
=
______________
=
______________
b)
d)
=
________________
=
________________
=
________________
=
________________
Can you write the following two Decimals as Fractions?
1.
Is your answer in the
simplest form?
3.008
2.
2.125
= ____________
= _____________
= ____________
= _____________
Daily Math Practice: Day 4
3
Grade 5
Fractions & Decimals
Look at the following diagrams. Write a fraction and a decimal value for the coloured parts.
1.
2.
3.
Fraction: ___________
________________
_________________
Decimal: ___________
________________
_________________
Using the grids below, shade the fraction represented by the decimal value below, then write
the fraction in the simplest form:
1. 1,08
= ___________________
2.
0,7
3.
= ____________________
4.
0,23 = ____________________
1,84
= ___________________
4. Which one of the following are indicated by point A on the line:
;
0
0,3;
;
1,3;
A
2
Daily Math Practice: Day 4
4
Grade 5
Understanding the value of Decimals
Enter a >, < or = between each of these numbers to make the equations true:
1.
0,602
0,620
2.
1,210
3.
2,002
2,020
4.
0,4
5.
1,181
1,118
6.
0,009
0,060
8.
10,125
7.
1,201
0,090
10
Arrange the following decimals in descending order:
1.
2,021;
2,301;
2,012;
2,310;
2,031;
2,231;
2,023
__________________________________________________________________
2.
0,506;
0,856;
0,605;
0,086;
0,058;
0,650;
0,805
__________________________________________________________________
3.
1,119;
1,919;
1,019;
1,109;
1,190;
1,009;
1,901
__________________________________________________________________
Arrange the following decimals in ascending order:
1.
5,092;
5,209;
5, 228;
5,002;
5,828;
5,928;
5,089
__________________________________________________________________
2.
0,763;
0,736;
0,073;
0,637;
0,376;
0,007;
0,067
__________________________________________________________________
3.
3,504;
3,008;
3,854;
3,584;
3,405;
3,080;
3,458
__________________________________________________________________
Using each of the numbers below only once, make the smallest 3-digit number with 3
decimals:
___________________________________
Daily Math Practice: Day 4
5
Grade 5
Understanding the value of Decimals
Rewrite these numbers in the Place Value Tables:
T
U
t
h
th
T
1.
2,006
2.
58,809
3.
3,170
4.
7,090
5.
90,003
6.
13,077
7.
10 x 0,1
8.
100 x 0,09
8.
10 x 2,09
10.
U
1000 x 0,083
Write down the numbers represented by the following:
1.
5 Thousands, 3 hundredths, 7 Units, 2 tenths
=
2.
9 thousandths, 8 Thousands
=
3.
____________________________________
3 Units, 5 hundredths, 8 tenths, 7 Hundreds
=
4.
____________________________________
____________________________________
8 Hundreds, 3 thousands, 4 Tens, 2 tenths, 9 Units
=
____________________________________
Do the following calculations:
1.
Add ten times 0,001 to 0,1.
2.
How much is 0,090 more than 0,009?
3.
What is the difference between 0,300 and 0,003?
t
h
th
Daily Math Practice: Day 4
6
Grade 5
Calculations with Decimals
Calculate the answers to the following Addition problems:
1.
33,098 + 8,177 = _______________ 2.
14,063 + 7,979 = _______________
3.
0,917 + 1,288 = _______________
42,929 + 13,481 = ______________
4.
Calculate the answers to the following Subtraction problems:
1.
51,089 - 24,993 = ______________ 2.
3,007 - 0,089 = _______________
3.
27,054 - 18,288 = ______________ 4.
8,211 - 7,988 = _______________
Daily Math Practice: Day 4
7
Grade 5
Converting Fractions into Decimals—Memo
1.
Convert the following Fractions to Decimals by converting the Fractions into Fractions
with denominators of 10, 100 or 1 000:
a)
x
=
c)
x
e)
x
8
75
= 0,8
b)
=
= 0,60
d)
=
= 0,25
f)
x
=
60
2.
a)
= 0,75
80
x
x
=
= 0,080
=
= 0,24
Convert the following Fractions to Decimals by using the division method:
= 0,75
=
b)
=
= 0,6
TIP: Always get fraction to its simplest form before doing division, e.g 6/8 = 3/4
3.
a)
c)
Convert the following Improper Fractions to Decimals, using any method:
=
1
=
1,25
=
2
=
2,4
=1
b)
d)
=
2
=
2,25
=
3
=
3,5
Can you write the following two Decimals as Fractions?
1.
3.008
2.
2.125
=3
=2
=3
=2
Daily Math Practice: Day 4
8
Grade 5
Fractions & Decimals—Memo
Look at the following diagrams. Write a fraction and a decimal value for the coloured parts.
1.
2.
3.
Fraction: 6/12 or 1/2
2/5
23/100
Decimal: 0,5
0,4
0,23
Using the grids below, shade the fraction represented by the decimal value below, then write
the fraction in the simplest form:
1. 1,08
= 1 8/100 = 1 2/25
2.
0,7
3.
= 1 84/100 = 1 21/25
4.
0,23 = 23/100
1,84
= 7/10
4. Which one of the following are indicated by point A on the line:
;
0
0,3;
;
1,3;
1
A=
2
Daily Math Practice: Day 4
9
Grade 5
Understanding the value of Decimals—Memo
Enter a >, < or = between each of these numbers to make the equations true:
1.
0,602
<
0,620
2.
1,210
>
3.
2,002
<
2,020
4.
0,4
=
5.
1,181
>
1,118
6.
0,009
<
>
0,060
8.
10,125
=
7.
1,201
0,090
10
Arrange the following decimals in descending order:
1.
2.
3.
2,021;
2,301;
2,012;
2,310;
2,031;
2,231;
2,023
2,310;
2,301;
2,231;
2,031;
2,023;
2,021;
2,012
0,506;
0,856;
0,605;
0,086;
0,058;
0,650;
0,805
0,856;
0,805;
0,650;
0,605;
0,506;
0,086;
0,058
1,119;
1,919;
1,019;
1,109;
1,190;
1,009;
1,901
1,919;
1,901;
1,190;
1,119;
1,109;
1,019;
1,009
Arrange the following decimals in ascending order:
1.
2.
3.
5,092;
5,209;
5, 228;
5,002;
5,828;
5,928;
5,089
5,002;
5,089;
5,092;
5,209;
5,228;
5,828;
5,928
0,763;
0,736;
0,073;
0,637;
0,376;
0,007;
0,067
0,007;
0,067;
0,073;
0,376;
0,637;
0,736;
0,763
3,504;
3,008;
3,854;
3,584;
3,405;
3,080;
3,458
3,008;
3,080;
3,405;
3,458;
3,504;
3,584;
3,854
Using each of the numbers below only once, make the smallest 3-digit number with 3
decimals:
203,568
Daily Math Practice: Day 4
10
Grade 5
Understanding the value of Decimals—Memo
Rewrite these numbers in the Place Value Tables:
T
U
t
h
th
1.
2,006
2
0
0
6
2.
58,809
3.
3,170
3
1
7
0
4.
7,090
5.
90,003
0
0
0
3
6.
13,077
7.
10 x 0,1
1
0
0
0
8.
100 x 0,09
8.
10 x 2,09
0
9
0
0
10.
9
2
1000 x 0,083
T
U
t
h
th
5
8
8
0
9
7
0
9
0
3
0
7
7
9
0
0
0
3
0
0
0
1
8
Write down the numbers represented by the following:
1.
5 Thousands, 3 hundredths, 7 Units, 2 tenths
=
2.
9 thousandths, 8 Thousands
=
3.
8 000,009
3 Units, 5 hundredths, 8 tenths, 7 Hundreds
=
4.
5 007,230
703,850
8 Hundreds, 3 thousandths, 4 Tens, 2 tenths, 9 Units
=
849,203
Do the following calculations:
1.
Add ten times 0,001 to 0,1.
10 x 0,001 = 0,010
0,010 + 0,1 = 0,110
2.
How much is 0,090 more than 0,009?
0,090 - 0,009 = 0,081
3.
What is the difference between 0,300 and 0,003?
0,300 - 0,003 = 0,297
Daily Math Practice: Day 4
11
Grade 5
Calculations with Decimals—Memo
Calculate the answers to the following Addition problems:
1.
33,098 + 8,177 = 41,275
2.
14,063 + 7,979 = 22,042
TIP: Use normal vertical addition and subtraction, just always carry the comma down to the
answer to indicate the decimals.
3.
0,917 + 1,288 = 2,205
4.
42,929 + 13,481 = 56.410
Calculate the answers to the following Subtraction problems:
1.
51,089 - 24,993 = 26,096
2.
3,007 - 0,089 = 2,918
3.
27,054 - 18,288 = 8,766
4.
8,211 - 7,988 = 0,223