Table of Contents
Decimals are a crucial part of the Class 6 Mathematics curriculum, forming the foundation for more complex arithmetic and realworld 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 fillintheblanks and multiplechoice 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. Thirtysix 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
 Write the number name of 116.39.
 Write the following in figures: Three hundred fiftyfour point six two.
 Write the place value of each digit in 924.63.
 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
 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.
 Hyzam had ₹20. He bought a pen for ₹9.75 and a pencil for ₹2.50. How much does he have now?
 Ayesha bought 8m 20cm cloth. She cut 4m 20cm length for a dress. How much cloth does she have now?
Fraction and Decimal Conversions
 Convert 24/5 to a decimal.
 Write 0.8 as a fraction in its lowest form.
 Convert 75.25 to a fraction.
Comparing and Ordering
 Which is greater: 0.6 or 0.7?
 Arrange the following in descending order: 7.3, 8.73, 73.03, 7.33, 8.073.
 Write a fraction equivalent to 5/8 with the denominator 32.
Decimals Worksheet for Class 6 – Answers
Find the Missing Values
 Write 2.08 in the place value table.
 2  0  8
 Write 2.5 as a fraction in its lowest terms.

$\frac{5}{2}$
25

$\frac{5}{2}$
 Show 1.2 on a number line.
 1.2 is between 1 and 2, closer to 1.
 Convert 3755 gm to kg.
 3.755 kg
 Convert 152 mm to cm.
 15.2 cm
 Identify the numbers between which 13.9 lies on a number line.
 13 and 14; nearest to 14.
Also Check: Representation of Decimals on a Number Line
Match the Following
 Three tens and eight tenths
b) 30.8  Thirtysix and seven hundredths
c) 36.07  300 + 20 + 9/100
a) 320.09
Multiple Choice Questions (MCQs)
 2
− 0.7 2 – 0.7 2−0.7 is equal to: d) 1.3
 Which is greater: 2.1 or 2.155?
 c) 2.1
 3.5
+ 4.05 − 6.005 3.5 + 4.05 – 6.005 3.5+4.05−6.005 is equal to: d) 1.545
Problem Solving
 What should be added to ₹82.5 to get ₹90?
 ₹7.5
 Find the sum of
280.68+ 28.5 + 38 280.68 + 28.5 + 38 280.68+28.5+38. 347.18
 Which is lesser and why: 2.08 or 2.083?
 2.08 is lesser because it has fewer digits after the decimal point.
 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
 Convert 640 paise to rupees.
 ₹6.40
 Convert 40 g to kg.
 0.040 kg
 Express 3 kg 125 g as a decimal.
 3.125 kg
 Convert 240 km 120 m to km.
 240.120 km
Place Value and Number Names
 Write the number name of 116.39.
 One hundred sixteen and thirtynine hundredths
 Write the following in figures: Three hundred fiftyfour point six two.
 354.62
 Write the place value of each digit in 924.63.
 9 (hundreds), 2 (tens), 4 (units), 6 (tenths), 3 (hundredths)
 Write 2496.78 in expanded form.
 2000 + 400 + 90 + 6 + 0.7 + 0.08
Operations on Decimals
 41.23
+ 7.562 + 9.7 41.23 + 7.562 + 9.7 41.23+7.562+9.7 58.492
 6.5
− 17.07 6.5 – 17.07 6.5−17.07 10.57
 9.2
× 3 9.2 \times 3 9.2×3 27.6
 6.3
÷ 3 6.3 \div 3 6.3÷3 2.1
Also Check: Multiplication and Division of Decimals
Word Problems
 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
 Hyzam had ₹20. He bought a pen for ₹9.75 and a pencil for ₹2.50. How much does he have now?
 ₹7.75
 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
 Convert 24/5 to a decimal.
 4.8
 Write 0.8 as a fraction in its lowest form.

$\frac{4}{5}$
54

$\frac{4}{5}$
 Convert 75.25 to a fraction.

$\frac{7525}{100}$
1007525

$\frac{7525}{100}$
Comparing and Ordering
 Which is greater: 0.6 or 0.7?
 0.7
 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
 Write a fraction equivalent to 5/8 with the denominator 32.

$\frac{20}{32}$
3220

$\frac{20}{32}$
Decimals Worksheet for Class 6: Additional Question & Answers
More Conversions
 Decimal form of 4/100 is ____________.
 0.04
 A weight of 3kg 9g is equal to _______________ kg.
 3.009 kg
 Among 4.8, 4.08, 4.008, 4.09, and 4.69, the smallest number is _______________.
 4.008
 60.075.7 is equal to ____________.
 54.37
 A distance of 5m 5cm is equal to ___________ m.
 5.05 m
 66km 20m = _______ m.
 66020 m
 _______ km _______ m = 9.320 km.
 9 km 320 m
 9g = ________ kg.
 0.009 kg
 8kg 8g = _______ kg.
 8.008 kg
 16 litre = ________ kl.
 0.016 kl
 622 paise = ________ rupees.
 ₹6.22
 75m = _______ km.
 0.075 km
 126cm = _______ m.
 1.26 m
Decimal Number Names and Figures
 Write the decimal number for each of the following:
 Five hundred two and threetenths.
 502.3
 Twentyeight and seven hundredths.
 28.07
 Five hundred two point one nine.
 502.19
 Ninetytwo point three zero five.
 92.305
 Five hundred two and threetenths.
 Write the following decimals in words:
 0.362
 Zero point three six two
 310.07
 Three hundred ten point zero seven
 0.362
 Write each of the following as decimals:
 30 + 9 + 3/10 + 1/100
 39.31
 700 + 30 + 4/10 + 5/100
 730.45
 30 + 9 + 3/10 + 1/100
Also Check: Fractions and Decimals
Decimal Form and Operations
 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
 40 + 6 + 7/10 + 9/100
 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
 7.3, 8.73, 73.03, 7.33, 8.073
 Convert each of the following decimals as a mixed fraction:
 7.5
 7
1 2 7 \frac{1}{2} 721
 7
 24.8
 24
4 5 24 \frac{4}{5} 2454
 24
 13.25
 13
1 4 13 \frac{1}{4} 1341
 13
 7.5
 Convert 29/4 into a decimal fraction.
 7.25
 Convert each of the following into a fraction in its simplest form:
 0.48

$\frac{12}{25}$
2512

$\frac{12}{25}$
 0.053

$\frac{53}{1000}$
100053

$\frac{53}{1000}$
 0.224

$\frac{112}{500}$
500112

$\frac{112}{500}$
 0.48
 Convert each of the following into a decimal:
 23/10
 2.3
 21415/1000
 21.415
 3/40
 0.075
 23/10
Fractions and Equivalents
 Write a fraction for each of the following:
 Threefourths

$\frac{3}{4}$
43

$\frac{3}{4}$
 Twofifths

$\frac{2}{5}$
52

$\frac{2}{5}$
 Seventwelfths

$\frac{7}{12}$
127

$\frac{7}{12}$
 Threefourths
 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

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

$\frac{5}{7}$
75

$\frac{10}{14},\frac{15}{21},\frac{20}{28},\frac{25}{35}$
1410,2115,2820,3525

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

$\frac{8}{11}$
 Write a fraction equivalent to 5/8 with the denominator 32.

$\frac{20}{32}$
3220

$\frac{20}{32}$
 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

$\frac{5}{6}$
Expanded Form and Arithmetic
 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
 567.23
 Add:
 0.03
+ 0.53 + 1.23 0.03 + 0.53 + 1.23 0.03+0.53+1.23 1.79
 41.23
+ 7.562 + 9.7 41.23 + 7.562 + 9.7 41.23+7.562+9.7 58.492
 0.03
 Subtract:
 6.5
6.5 6.5 from17.0717.07 17.07 10.57
 9.636
9.636 9.636 from1515 15 5.364
 6.5
 Simplify:
5.28− 1.4 + 3.116 5.28 – 1.4 + 3.116 5.28−1.4+3.116 6.996
 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
 Lalita spent ₹90.50 and Sunita spent ₹67.25 on a picnic. How much more money was spent by Lalita than Sunita?
 ₹23.25
 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
 Write the following, using numbers, literal numbers, and signs of operations:
 Four more than a number x

$x+4$
x+4

$x+4$
 Three times a number x
 3
x 3x 3x
 3
 3 subtracted from a number y

$y3$
y−3

$y3$
 2 more than the quotient of p by q

$\frac{p}{q}+2$
qp+2

$\frac{p}{q}+2$
 Four more than a number x
 Write the successor of:
 17
 16
 100
 99
 307
 306
 17
 Write the predecessor of:
 93
 94
 101
 102
 987
 986
 93
 Add the integers:
 1001, 3
 998
 327, 573
 900
 18, 982, 1934
 934
 1001, 3
 Find the sum using the number line:
 (6) + 3
 3
 4 + (8)
 4
 (6) + 3
 Subtract:
 13 from 20
 33
 51 from 51
 0
 13 from 20
 Find:
 2
− 4 + 6 − 8 + 10 − 12 24 + 68 + 1012 2−4+6−8+10−12 6
 7 + (18) + (90)
 115
 2
 Add (21) to the difference of (8) and (18).
 (8 – (18)) + (21)
 10 + (21)
 11
 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.