Decimals Worksheet for Class 6

Decimals are a crucial part of the Class 6 Mathematics curriculum, forming the foundation for more complex arithmetic and real-world applications. This worksheet is designed to provide comprehensive practice on decimals, aligning with the latest CBSE syllabus and examination patterns. Students can enhance their understanding of key concepts such as place value, operations on decimals, and conversions between decimals and fractions.

This worksheet includes a variety of questions, from basic fill-in-the-blanks and multiple-choice questions to more challenging word problems and conversions. Practicing these problems regularly will help students build a strong foundation in decimals and excel in their exams.

Decimals Worksheet for Class 6 – Questions

Find the Missing Values

Ques 1. Write 2.08 in the place value table.

Ques 2. Write 2.5 as a fraction in its lowest terms.

Ques 3. Show 1.2 on a number line.

Ques 4. Convert 3755 gm to kg.

Ques 5. Convert 152 mm to cm.

Ques 6. Identify the numbers between which 13.9 lies on a number line.

Match the Following

Ques 1. Three tens and eight tenths

a) 320.09

Ques 2. Thirty-six and seven hundredths

b) 30.8

Ques 3. 300 + 20 + 9/100

c) 36.07

Multiple Choice Questions (MCQs)

Ques 1. 2−0.7 is equal to:

a) 0.5
b) 1.3
c) 1.9
d) 1.5

Ques 2. Which is greater: 2.1 or 2.155?

a) 2.155
b) Both are equal
c) 2.1
d) Can’t compare

Ques 3. 3.5+4.05−6.005 is equal to:

a) 1.095b) 1.600
c) 1.950
d) 1.545

Problem Solving

Ques 1. What should be added to ₹82.5 to get ₹90?

Ques 2. Find the sum of 280.68+28.5+38.

Ques 3. Which is lesser and why: 2.08 or 2.083?

Ques 4. Sita bought fruits weighing 20 kg. Out of this, 5 kg 500 gm are apples and 4 kg are oranges. What is the weight of the bananas?

Conversions

Ques 1. Convert 640 paise to rupees.

Ques 2. Convert 40 g to kg.

Ques 3. Express 3 kg 125 g as a decimal.

Ques 4. Convert 240 km 120 m to km.

Place Value and Number Names

1. Write the number name of 116.39.
2. Write the following in figures: Three hundred fifty-four point six two.
3. Write the place value of each digit in 924.63.
4. Write 2496.78 in expanded form.

Operations on Decimals

Ques 1. 41.23+7.562+9.7

Ques 2. 6.5−17.07

Ques 3. 9.2×3

Ques 4. 6.3÷3

Word Problems

1. Reema bought 5.5 kg of wheat, 10.75 kg of sugar, and 15.25 kg of rice. Find the total weight of the items.
2. Hyzam had ₹20. He bought a pen for ₹9.75 and a pencil for ₹2.50. How much does he have now?
3. Ayesha bought 8m 20cm cloth. She cut 4m 20cm length for a dress. How much cloth does she have now?

Fraction and Decimal Conversions

1. Convert 24/5 to a decimal.
2. Write 0.8 as a fraction in its lowest form.
3. Convert 75.25 to a fraction.

Comparing and Ordering

1. Which is greater: 0.6 or 0.7?
2. Arrange the following in descending order: 7.3, 8.73, 73.03, 7.33, 8.073.
3. Write a fraction equivalent to 5/8 with the denominator 32.

Decimals Worksheet for Class 6 – Answers

Find the Missing Values

1. Write 2.08 in the place value table.
   • 2 | 0 | 8
2. Write 2.5 as a fraction in its lowest terms.
   • $\frac{5}{2}$

     25​

3. Show 1.2 on a number line.
   • 1.2 is between 1 and 2, closer to 1.
4. Convert 3755 gm to kg.
   • 3.755 kg
5. Convert 152 mm to cm.
   • 15.2 cm
6. Identify the numbers between which 13.9 lies on a number line.
   • 13 and 14; nearest to 14.

Match the Following

1. Three tens and eight tenths
   b) 30.8
2. Thirty-six and seven hundredths
   c) 36.07
3. 300 + 20 + 9/100
   a) 320.09

Multiple Choice Questions (MCQs)

1. 2−0.72 – 0.72−0.7 is equal to:
   • d) 1.3
2. Which is greater: 2.1 or 2.155?
   • c) 2.1
3. 3.5+4.05−6.0053.5 + 4.05 – 6.0053.5+4.05−6.005 is equal to:
   • d) 1.545

Problem Solving

1. What should be added to ₹82.5 to get ₹90?
   • ₹7.5
2. Find the sum of
   280.68+28.5+38280.68 + 28.5 + 38280.68+28.5+38.
   • 347.18
3. Which is lesser and why: 2.08 or 2.083?
   • 2.08 is lesser because it has fewer digits after the decimal point.
4. Sita bought fruits weighing 20 kg. Out of this, 5 kg 500 gm are apples and 4 kg are oranges. What is the weight of the bananas?
   • 10.5 kg

Conversions

1. Convert 640 paise to rupees.
   • ₹6.40
2. Convert 40 g to kg.
   • 0.040 kg
3. Express 3 kg 125 g as a decimal.
   • 3.125 kg
4. Convert 240 km 120 m to km.
   • 240.120 km

Place Value and Number Names

1. Write the number name of 116.39.
   • One hundred sixteen and thirty-nine hundredths
2. Write the following in figures: Three hundred fifty-four point six two.
   • 354.62
3. Write the place value of each digit in 924.63.
   • 9 (hundreds), 2 (tens), 4 (units), 6 (tenths), 3 (hundredths)
4. Write 2496.78 in expanded form.
   • 2000 + 400 + 90 + 6 + 0.7 + 0.08

Operations on Decimals

1. 41.23+7.562+9.741.23 + 7.562 + 9.741.23+7.562+9.7
   • 58.492
2. 6.5−17.076.5 – 17.076.5−17.07
   • -10.57
3. 9.2×39.2 \times 39.2×3
   • 27.6
4. 6.3÷36.3 \div 36.3÷3
   • 2.1

Also Check: Multiplication and Division of Decimals

Word Problems

1. Reema bought 5.5 kg of wheat, 10.75 kg of sugar, and 15.25 kg of rice. Find the total weight of the items.
   • 31.5 kg
2. Hyzam had ₹20. He bought a pen for ₹9.75 and a pencil for ₹2.50. How much does he have now?
   • ₹7.75
3. Ayesha bought 8m 20cm cloth. She cut 4m 20cm length for a dress. How much cloth does she have now?
   • 4m

Fraction and Decimal Conversions

1. Convert 24/5 to a decimal.
   • 4.8
2. Write 0.8 as a fraction in its lowest form.
   • $\frac{4}{5}$

     54​

3. Convert 75.25 to a fraction.
   • $\frac{7525}{100}$

     1007525​

Comparing and Ordering

1. Which is greater: 0.6 or 0.7?
   • 0.7
2. Arrange the following in descending order: 7.3, 8.73, 73.03, 7.33, 8.073.
   • 73.03, 8.73, 8.073, 7.33, 7.3
3. Write a fraction equivalent to 5/8 with the denominator 32.
   • $\frac{20}{32}$

     3220​

Decimals Worksheet for Class 6: Additional Question & Answers

More Conversions

1. Decimal form of 4/100 is ____________.
   • 0.04
2. A weight of 3kg 9g is equal to _______________ kg.
   • 3.009 kg
3. Among 4.8, 4.08, 4.008, 4.09, and 4.69, the smallest number is _______________.
   • 4.008
4. 60.07-5.7 is equal to ____________.
   • 54.37
5. A distance of 5m 5cm is equal to ___________ m.
   • 5.05 m
6. 66km 20m = _______ m.
   • 66020 m
7. _______ km _______ m = 9.320 km.
   • 9 km 320 m
8. 9g = ________ kg.
   • 0.009 kg
9. 8kg 8g = _______ kg.
   • 8.008 kg
10. 16 litre = ________ kl.
    • 0.016 kl
11. 622 paise = ________ rupees.
    • ₹6.22
12. 75m = _______ km.
    • 0.075 km
13. 126cm = _______ m.
    • 1.26 m

Decimal Number Names and Figures

1. Write the decimal number for each of the following:
   • Five hundred two and three-tenths.
     • 502.3
   • Twenty-eight and seven hundredths.
     • 28.07
   • Five hundred two point one nine.
     • 502.19
   • Ninety-two point three zero five.
     • 92.305
2. Write the following decimals in words:
   • 0.362
     • Zero point three six two
   • 310.07
     • Three hundred ten point zero seven
3. Write each of the following as decimals:
   • 30 + 9 + 3/10 + 1/100
     • 39.31
   • 700 + 30 + 4/10 + 5/100
     • 730.45

Also Check: Fractions and Decimals

Decimal Form and Operations

1. Write each of the following in the decimal form:
   • 40 + 6 + 7/10 + 9/100
     • 46.79
   • 500 + 70 + 8 + 3/10 + 1/100 + 6/1000
     • 578.316
2. Arrange the following decimals in a descending order:
   • 7.3, 8.73, 73.03, 7.33, 8.073
     • 73.03, 8.73, 8.073, 7.33, 7.3
   • 8.88, 8.088, 888.8, 88.08, 8.008
     • 888.8, 88.08, 8.88, 8.088, 8.008
3. Convert each of the following decimals as a mixed fraction:
   • 7.5
     • 7127 \frac{1}{2}721​
   • 24.8
     • 244524 \frac{4}{5}2454​
   • 13.25
     • 131413 \frac{1}{4}1341​
4. Convert 29/4 into a decimal fraction.
   • 7.25
5. Convert each of the following into a fraction in its simplest form:
   • 0.48
     • $\frac{12}{25}$

       2512​

   • 0.053
     • $\frac{53}{1000}$

       100053​

   • 0.224
     • $\frac{112}{500}$

       500112​

6. Convert each of the following into a decimal:
   • 23/10
     • 2.3
   • 21415/1000
     • 21.415
   • 3/40
     • 0.075

Fractions and Equivalents

1. Write a fraction for each of the following:
   • Three-fourths
     • $\frac{3}{4}$

       43​

   • Two-fifths
     • $\frac{2}{5}$

       52​

   • Seven-twelfths
     • $\frac{7}{12}$

       127​

2. Write four fractions equivalent to each of the following:
   • $\frac{8}{11}$

     118​

     • $\frac{16}{22},\frac{24}{33},\frac{32}{44},\frac{40}{55}$

       2216​,3324​,4432​,5540​

   • $\frac{5}{7}$

     75​

     • $\frac{10}{14},\frac{15}{21},\frac{20}{28},\frac{25}{35}$

       1410​,2115​,2820​,3525​

3. Write a fraction equivalent to 5/8 with the denominator 32.
   • $\frac{20}{32}$

     3220​

4. Which of the following are the pairs of equivalent fractions?
   • $\frac{5}{6}$

     65​ and

     $\frac{20}{24}$

     2420​

     • Yes
   • $\frac{3}{8}$

     83​ and

     $\frac{15}{40}$

     4015​

     • No

Expanded Form and Arithmetic

1. Write the expanded form of the following decimals:
   • 567.23
     • 500 + 60 + 7 + 0.2 + 0.03
   • 342.234
     • 300 + 40 + 2 + 0.2 + 0.03 + 0.004
   • 678.093
     • 600 + 70 + 8 + 0.09 + 0.003
2. Add:
   • 0.03+0.53+1.230.03 + 0.53 + 1.230.03+0.53+1.23
     • 1.79
   • 41.23+7.562+9.741.23 + 7.562 + 9.741.23+7.562+9.7
     • 58.492
3. Subtract:
   • 6.56.56.5 from17.0717.0717.07
     • 10.57
   • 9.6369.6369.636 from151515
     • 5.364
4. Simplify:
   5.28−1.4+3.1165.28 – 1.4 + 3.1165.28−1.4+3.116
   • 6.996
5. A pole is 1.78 m buried in mud, 2.94 m in water, and 0.96 m above water. What is the full length of the pole?
   • 5.68 m
6. Lalita spent ₹90.50 and Sunita spent ₹67.25 on a picnic. How much more money was spent by Lalita than Sunita?
   • ₹23.25
7. A family was visiting Delhi. They rode 12.5 km a day on the first two days and 14 km on the third day. How many km did they travel in the 3 days?
   • 39 km

Expressions and Integers

1. Write the following, using numbers, literal numbers, and signs of operations:
   • Four more than a number x
     • $x+4$

       x+4

   • Three times a number x
     • 3x3x3x
   • 3 subtracted from a number y
     • $y-3$

       y−3

   • 2 more than the quotient of p by q
     • $\frac{p}{q}+2$

       qp​+2

2. Write the successor of:
   • -17
     • -16
   • -100
     • -99
   • -307
     • -306
3. Write the predecessor of:
   • -93
     • -94
   • -101
     • -102
   • 987
     • 986
4. Add the integers:
   • 1001, -3
     • 998
   • -327, -573
     • -900
   • -18, -982, 1934
     • 934
5. Find the sum using the number line:
   • (-6) + 3
     • -3
   • 4 + (-8)
     • -4
6. Subtract:
   • -13 from 20
     • 33
   • -51 from -51
     • 0
7. Find:
   • 2−4+6−8+10−122-4 + 6-8 + 10-122−4+6−8+10−12
     • -6
   • -7 + (-18) + (-90)
     • -115
8. Add (-21) to the difference of (-8) and (-18).
   • (-8 – (-18)) + (-21)
   • 10 + (-21)
   • -11
9. From the sum of 255 and (-183), subtract (-273).
   • (255 – 183) – (-273)
   • 72 + 273
   • 345

By practicing these questions and answers, students will develop a strong grasp of decimals, place values, conversions, and basic arithmetic operations, setting a solid foundation for future mathematical learning.