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.

Download the Decimal Worksheet with Answers for free of cost and practice offline too after your class or during your homework. Test your understanding using Decimal Worksheets with Solutions and remediate the knowledge gap accordingly and score better grades in exams.

Do Refer:

- Worksheet on Word Problems on Addition and Subtraction of Decimals
- Fraction as Decimal
- Concept of Decimal
- Multiplication of Decimals

**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.__3__20

2) 7.0__1__95

3) __8__34.632

4) 9272.2__1__

5) __1__01.87

**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

** **