 Below you will find a variety of questions on the concept of the decimal. Practice various questions from the Free Printable Concept of Decimal Worksheet and enhance your subject knowledge. Solving the Decimal Problems will give you related knowledge on topics such as ascending, descending order of decimals, expressing decimals in short form or expanded form, finding the number of places in decimals, converting fractions to decimals, and vice versa.

Do Refer:

I) Express each of the following in Decimals and find the number of decimal places
1) 35/100
2) 6/100
3)79/1000
4) 234/1000
5) 5643/1000

Solution:

1) 35/100
=0.35
The number of decimal places is 2.
2) 6/100
=0.06
The number of decimal places is 2.
3) 79/1000
=0.079
The number of decimal places is 3.
4) 234/1000
=0.234
The number of decimal places is 3.
5) 5643/1000
=5.643
The number of decimal places is 3.

II) Express each of the following in decimals
1) 195/2
2) 17/5
3) 237/5
4) 1568/3
5) 2457/6

Solution:

1) 195/2
It is the same as 195 ÷ 2.
= 97.5
2)17/5
It is the same as 17 ÷ 5.
=3.4
3)237/5
It is the same as 237 ÷ 5.
=47.4
4)1568/3
It is the same as 1568 ÷ 3.
=522.66
5)2457/6
It is the same as 2457 ÷ 6.
=409.5

III) Express each of the following as fractions
1) 5.68
2) 0.006
3)0.28
4)16.54
5)207.4

Solution:

1) 5.68
Write the decimal number 5.68 as a fraction with 1 in the denominator i.e. 5.68/1.
Multiply top and bottom by 100 to remove two decimal places.
=5.68/1 ×100/100
=568/100
Therefore, 5.68 can be expressed as a fraction 568/100.
2)0.006
Write the decimal number 0.006 as a fraction with 1 in the denominator i.e. 0.006/1.
Multiply top and bottom by 1000 to remove two decimal places.
=0.006/1 × 1000/1000
=6/1000=3/500
3)0.28
Write the decimal number 0.28 as a fraction with 1 in the denominator i.e. 0.28/1.
Multiply top and bottom by 100 to remove two decimal places.
=0.28/1 ×100/100
=28/100
4)16.54
Write the decimal number 16.54 as a fraction with 1 in the denominator i.e. 16.54/1.
Multiply top and bottom by 100 to remove two decimal places.
=16.54/1 × 100/100
=1654/100
5)207.4
Write the decimal number 207.4 as a fraction with 1 in the denominator i.e. 207.4/1.
Multiply top and bottom by 100 to remove two decimal places.
=207.4/1 × 100/100
=2074/10

IV) Write the place and place values of underlined digits
1) 62.320
2) 7.0195
3) 834.632
4) 9272.21
5) 101.87

Solution:

1) The place value of 3 is tens,0.3.
2) The place value of 1 is a hundred, 0.01.
3) The place value of 8 is hundreds,800.
4) The place value of 1 is hundreds,0.01.
5) The place value of 1 is hundreds,100.

V) Write the fractional number and decimal number for the shaded part of each figure

1) 2) 3) Solution:

1)In this table, the fractional part for the shaded part is 20/64 and the decimal number is 0.3125
2) In this table, the fractional part for the shaded part is 25/64  and the decimal number is 0.39062
3) In this table, the fractional part for the shaded part is 35/64 and the decimal number is 0.54687

VI) Express the Decimals in Words
1) 5.32
2) 3.89
3) 0.84
4) 7.19
5) 1.86
6) 897.5
7)32.54

Solution:

1) Five point three two
2) Three-point eight nine
3) Zero point eight four
4) seven-point one nine
5) one point eight six
6) eight hundred ninety-seven point five
7) thirty-two point fifty-four

VII) Express in numerals
1) Fifty-eight point two four
2) twenty-one point zero six
3) sixty-five point seven eight
4) seven hundred eighty point zero five
5) nine hundred twenty point seven eight
6) five hundred point zero five
7) seventeen point eight three

Solution:

1) 58.24
2) 21.06
3) 65.78
4) 780.05
5) 920.78
6) 500.05
7)17.83

VIII) Express the following in the Expanded form
1) 4. 759
2) 38. 62
3) 975.562
4)0.12
5) 152.18

Solution:

1) 4+ 0.7+0.05 +0.009
2) 30+8+0.6+0.02
3)900+70+5+0.5+0.06+0.002
4) 0.1+0.02
5) 100+50+2+0.1+0.08

IX) Express in the short form
1) 50+5+0.8+0.06
2) 200+30+3+0.7+0.02
3) 0.5+0.07
4) 3+0.5+0.04+0.002
5) 70+5+0.8+0.01

Solution:

1) 55.86
2) 233.72
3) 0.57
4) 3.542
5) 75.81

X) Arrange in ascending order
1) 0.1, 0.32, 0.23, 0.2, 0.45, 0.5
2) 2.15, 2.78, 2.32, 2.02, 2.12, 2.6
3) 3.56, 3.6, 3.89, 3.98, 3.72
4) 6.78,6.07,6.62,6.69,6.63

Solution:

1) 0.1,0.2,0.23,0.32,0.45,0.5
2) 2.02, 2.12, 2.15, 2.32, 2.6, 2.78
3) 3.56, 3.6, 3.72, 3.89, 3.98
4) 6.07, 6.62,6.63,6.69,6.78

XI) Arrange in descending order
1) 4.53,4.72,4.61,4.02,4.35,4.25,4.06,4.23
2)13.02,13.08,13.53,13.73,13.83,13.33
3)10.50,10.05,10.52,10.51,10.55,10.58
4) 8.01,8.05,8.03,8.09,8.12,8.15,8.74,8.78

Solution:

1) 4.72, 4.61, 4.53, 4.35, 4.25, 4.23, 4.06, 4.02
2) 13.83, 13.73, 13.53, 13.33, 13.08, 13.02
3) 10.58, 10.55, 10.52, 10.51, 10.50, 10.05
4) 8.78, 8.74, 8.15, 8.12, 8.09, 8.05, 8.03, 8.01