Class 5 Exam  >  Class 5 Notes  >  Mathematics for Class 5  >  Practice Questions with Solutions: Decimals

Class 5 Maths - Decimals - Question Answers

Question 1: Write the place value of each digit of 745.238. Also, write 745.238 in the expanded form.

Arranging the digits of 745.238 in the place-value chart, we have
Class 5 Maths - Decimals - Question Answers
Class 5 Maths - Decimals - Question Answers
Thus,
Class 5 Maths - Decimals - Question Answers


Question 2: Multiply:
(a) 423.74 by 10
(b) 1,103.07 by 100
(c) 123.628 × 1,000

(a) 423.74 × 10 = 4,237.4
(b) 1,103.07 × 100 = 110,307.0
(c) 123.628 × 1,000 = 1,23,628.00


Question 3: Divide 13.47 by 3.

We have,
Class 5 Maths - Decimals - Question Answers
Hence, 13.47 ÷  3 = 4.49


Question 4: Convert the following decimals into fractions.
(a) 3.9 (b) 5.67 (c) 0.287

(a) Consider 3.9
Since, there is only one digit immediately after the decimal point therefore,

denominator of the fraction would contain 1 followed by only one zero.
Hence, 3.9 = 39/10
(b) 5.67

Since, there are two digits immediately after the decimal point therefore,

denominator of the fraction would contain 1 followed by two zeros.
Hence, 5.67 = 567/100
(c) In 0.287, there are three digits immediately after the decimal point, therefore denominator of the fraction would contain 1 followed by three zeros.
Hence, 0.287 = 287/1,000


Question 5:  Compare the following decimals :
2.147 and 2.18

We have 2.147 and 2.18,
2.18 = 2.180, so compare 2.147 and 2.180.
Comparing the whole number parts of the given decimals, we have 2 = 2
Now, comparing tenth digits, we have 1 = 1
Comparing hundredth digits, we have 4 < 8
Hence, 2.147 < 2.18


Question 6: A board 3.75 cm thick is glued to a board of thickness 4.375 cm. What is the combined thickness of the boards?

Thickness of one board = 3.75 cm.

Thickness of another board = 4.375 cm
Thickness of combined board = 8.125 cm

Class 5 Maths - Decimals - Question Answers

Hence, the thickness of combined board = 8.125 cm.


Question 7: Divide 14.94 by 18.

We have,
Class 5 Maths - Decimals - Question Answers

Hence, 14.94 ÷  18 = 0.83


Question 8: Multiply : 6.73 by 8.

Class 5 Maths - Decimals - Question Answers

The given decimal (multiplicand) has two decimal places,
hence, 6.73 × 8 = 53.84.


Question 9: Express the following as directed :
(a) 5.3 cm as cm and mm
(b) 8.09 m as m and cm
(c) 16.354 kg as kg and g
(d) 21.008 l as l and ml

(a) 5.3 cm = 53/10 cm = 53mm
= 50 mm + 3 mm = 5 cm 3 mm

(b) 8.09 m = 809/100 m = 809 cm
= 800 cm + 9 cm = 8 m 9 cm
(c) 16.354 kg = 16,354/1,000kg = 16354 g
= 16,000 g + 354 g = 16 kg 354 g

(d) 21.008 l = 21,008/1,000 l = 21008 ml
= 21,000 ml + 8 ml = 21 l 8 ml.


Question 10: Subtract 8.007 from 15.3

Converting the given decimals into like decimals, we get 8.007, 15.300
Hence, 15.3 – 8.007 = 7.293.
Class 5 Maths - Decimals - Question Answers

You can check your subtraction by adding the difference so obtained to the smaller number. If the result is the greater number, it means the subtraction is correct.


Question 11: Divide 112.36 by 8.

We have,

Class 5 Maths - Decimals - Question Answers
Hence, 112.36 ÷  8 = 14.045


Question 12: The price of a watch is ₹ 225.60. Find the cost of 8 watches.

Cost of 1 watch = ₹ 225.60

Cost of 8 watches = ₹225.60 × 8

= ₹ 1804.80
Class 5 Maths - Decimals - Question Answers


Question 13:  Ram purchased 6.345 kg rice, 2.350 kg sugar and 10.350 kg atta. Find the total weight of his purchases.

We have :
Quantity of rice purchased = 6.345 kg.

Quantity of sugar purchased = 2.350 kg.

Quantity of atta purchased = 10.350 kg.
Total weight of his purchases is 19.045 kg.
Class 5 Maths - Decimals - Question Answers


Question 14: Multiply : 21.35 by 8.5

Class 5 Maths - Decimals - Question Answers
Sum of the decimal places in the given decimals = 2 + 1 = 3
So, the product contains 3 places of decimal.
Hence, 21.35 × 8.5 = 181.475.


Question 15: Write the following decimals in the place-value chart :
(a) 4.6
(b) 12.08
(c) 425.763

Arranging the digits of the given numbers in the place value chart, we have
Class 5 Maths - Decimals - Question Answers


Question 16: Divide
(a) 35.8 by 10
(b) 374.9 by 10

(a) 35.8 ÷  10 = 3.58

(b) 374.9 ÷  10 = 37.49


Question 17: The thickness of 12 sheets of paper is 2.16 mm. Find the thickness of 1 sheet.

Thickness of 12 sheets = 2.16 mm
Thickness of 1 sheet = 2.16 mm ÷  12 = 0.18 mm.
Class 5 Maths - Decimals - Question Answers


Question 18: Write the number names of the following decimals:
(a) 0.08
(b) 35.28
(c) 218.035
(d) 0.0053
(e) 8.52

(a) 0.08 — zero point zero eight

(b) 35.28 — thirty five point two eight

(c) 218.035 — two hundred eighteen point zero three five.

(d) 0.0053 — zero point zero-zero five three

(e) 8.52 — eight point five two.


Question 19: Write the short form of Class 5 Maths - Decimals - Question Answers

Class 5 Maths - Decimals - Question Answers

= 2 hundreds + 5 tens + 3 ones + 8 tenths + 7 hundredths + 1 thousandth

= 253.871


Question 20: A vessel had 4.25 litres of milk. Out of it, a cat drank 0.375 litres. How much milk was left in the vessel?

Quantity of the milk in the vessel = 4.25 l
Quantity of milk drank by the cat = 0.375 l
Quantity of milk left in the vessel = (4.25 - 0.375) l = 3.875 l
Class 5 Maths - Decimals - Question Answers


Question 21: Divide 131.25 by 21.

We have,

Class 5 Maths - Decimals - Question Answers

Hence, 131.25 ÷  21 = 6.25


Question 22: Multiply : 18.23 by 125.

Class 5 Maths - Decimals - Question Answers

Hence, 18.23 × 125 = 2278.75


Question 23: Convert the following into groups of like decimals :
21.2, 17.97, 208.3, 536.025

The maximum number of decimal places contained in the given group of decimal numbers is three. So, we convert each of the given decimals into an equivalent  decimal having three decimal places, by putting zero or zeroes to the extreme right of the decimal part.
21.2 = 21.200
17.97 = 17.970
208.3 = 208.300
Clearly, 21.200, 17.970, 208.300 and 536.025 are like decimals.


Question 24: A car covers a distance of 22.5 km in one litre of petrol. How far can it go in 12.5 litres of petrol?

Distance covered by the car in 1 litre of petrol = 22.5 km.
∴ Distance covered by the car in 12.5 litre of petrol
= 22.5 km × 12.5
= 281.25 km

Class 5 Maths - Decimals - Question Answers


Question 25: Using decimals, convert as directed:
(a) 5 cm 8 mm into cm
(b) 12 m 72 cm into m
(c) 6 kg 91 g into kg
(d) 24 l 205 ml into l

(a) 5 cm 8 mm = 5 cm + 8/10 cm
= 5 cm + 0.8 cm = 5.8 cm
(b) 12 m 72 cm = 12 m + 72/100 m
= 12 m + 0.72 m = 12.72 m
(c) 6 kg 91 g = 6 kg +91/1,000 kg
= 6 kg + 0.091 kg = 6.091 kg
(d) 24 l 205 ml = 24 l + 205/1,000 l
= 24 l + 0.205 l = 24.205 l


Question 26: What must be subtracted from 6.75 to get 3.45?

The decimal to be subtracted = 6.75 – 3.45 = 3.30.

Hence, the required decimal to be subtracted is 3.30.
Class 5 Maths - Decimals - Question Answers


Question 27: Subtract 47.82 from 93.261 and check your subtraction.

Converting the given decimals into like decimals, we get 47.820 and 93.261
Class 5 Maths - Decimals - Question Answers
Hence, the subtraction is correct.


Question 28: Divide 0.9 by 10

0.9 ÷  10 = 0.09.


Question 29: Write each of the following as decimals.
(a) 5/10
(b) 15/100
(c) 6/100
(d) 72/1,000

(a) 5/10 = 0.5
(b) 15/100 = 0.15
(c) 6/100 = 0.06
(d) 72/1,000 = 0.072


Question 30: Multiply : 3.25 by 0.7

Class 5 Maths - Decimals - Question Answers
Sum of the decimal places in the given decimals = 2 + 1 = 3
So, the product contains 3 places of decimal.
Hence, 3.25 × 0.7 = 2.275.


Question 31: Add : 18.437, 125.07 and 36.8
Converting the given decimals into like decimals,

we get 18.437, 125.070, 36.800
Hence, 18.437 + 125.07 + 36.8 = 180.307.
Class 5 Maths - Decimals - Question Answers

The document Class 5 Maths - Decimals - Question Answers is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Class 5 Maths - Decimals - Question Answers

1. What are decimals?
Ans. Decimals are a way of representing numbers that are not whole. They include a decimal point, which separates the whole number part from the fractional part. For example, 3.14 is a decimal number.
2. How do you read decimal numbers?
Ans. To read decimal numbers, we read the whole number part as it is and then say the decimal part as individual digits. For example, 4.72 is read as "four point seven two".
3. How do you compare decimal numbers?
Ans. To compare decimal numbers, we start from the left side and compare each digit one by one. If the digits are the same, we move to the next digit. If the digits are different, the number with the larger digit is greater. For example, 3.7 is greater than 3.67.
4. How do you add and subtract decimal numbers?
Ans. To add and subtract decimal numbers, we align the decimal points and then add or subtract each digit in the corresponding place value. If needed, we can add zeros to make sure the decimal points are aligned. For example, to add 4.5 and 3.2, we align the decimal points and get the sum as 7.7.
5. How do you multiply decimal numbers?
Ans. To multiply decimal numbers, we first ignore the decimal points and multiply the numbers as if they were whole numbers. Then, we count the total number of decimal places in both numbers and place the decimal point in the product so that it has that many decimal places. For example, to multiply 0.6 and 0.3, we get the product as 0.18, with two decimal places.
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