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Worksheet Solutions: Decimals

Q.1. Write each of the following as decimals :
(i) Three tens and 8 tenths ____________
(ii) Three hundred four and five hundredths ____________
(iii) Sixty point two seven six ____________

Ans.
(i) 30.8
(ii) 304.05
(iii) 60.276


Q.2. Convert the following decimals into lowest form of fractions :
(i) 0.8 ____________
(ii) 4.5 ____________
(iii) 8.8 ____________
(iv) 7.0 ____________ 

Ans.

(i)Worksheet Solutions: Decimals

(ii) Worksheet Solutions: Decimals

(iii) Worksheet Solutions: Decimals

(iv) Worksheet Solutions: Decimals


Q.3. Express 0.5 and 2.1 on number line.

Ans. Worksheet Solutions: Decimals


Q.4. Write down the following as decimals :

(i)Worksheet Solutions: Decimals____________

(ii)Worksheet Solutions: Decimals____________

(iii)Worksheet Solutions: Decimals____________

Ans.
(i) 5.01
(ii) 45.12
(iii) 7.01


Q.5. Which is greater?
(i) 5.31 or 5.28 ____________
(ii) 6.321 or 6.312 ____________

Ans.
(i) 5.31
(ii) 6.321


Q.6. Express as rupees using decimals :
(i) 60 paise ____________
(ii) 825 paise ____________

Ans.
(i) 0.6
(ii) 8.25


Q.7. Expres as km using decimals :
(i) 7 mm ____________
(ii) 32 km 51m ____________

Ans.
(i) 0.000007 km
(ii) 32.051 km


Q.8. Add : 15.07 + 10.252 + 6.8

Ans. 32.122


Q.9. Subtract : 18.728 - 9.97

Ans. 8.758

Q.10. Raghu got  500 and he spent  118 on stationary items and 50.75 on eatables. Find the money left with Raghu.

Ans. 331.25

Q.11. Fill in the box with correct option (<, > or =)
(i) 0.7 Worksheet Solutions: Decimals 0.78
(ii) 1 Worksheet Solutions: Decimals 0.96
(iii) 1.8 Worksheet Solutions: Decimals 1.80
(iv) 5.66 Worksheet Solutions: Decimals 5.604
(v) 3.52 Worksheet Solutions: Decimals 4.42

Ans.
(i) <
(ii) >
(iii) =
(iv) >
(v) <


Q.12. Which whole number is nearer to the following?
(i) 4.6 _________
(ii) 0.99 _________

Ans.

(i) 5
(ii) 1


Q.13. Rina bought 4 kg 500 g of rice, 3 kg 400 g of dal and 1 kg 250 g of sugar. Find the total weight of all the items she bought.

Ans. 9 kg 150 g

Q.14.
(i) Write 1.284 in words.
(ii) Convert in to decimals :

Worksheet Solutions: Decimals____________  (b)  Worksheet Solutions: Decimals_________ (c) Worksheet Solutions: Decimals_________

Ans.
(i) One point two eight four.
(ii) (a) 3.6
(b) 1.75
(c) 4.5


Q.15. Write the following decimals in the place value chart :
(i) 158.42
(ii) 101.056
(iii) 0.496

Ans. 

Worksheet Solutions: Decimals

The document Worksheet Solutions: Decimals is a part of the Class 6 Course Maths Olympiad Class 6.
All you need of Class 6 at this link: Class 6

FAQs on Worksheet Solutions: Decimals

1. How do I add and subtract decimals correctly in Maths Olympiad problems?
Ans. Align decimal points vertically before performing addition or subtraction of decimals. This ensures each digit occupies the correct place value position. Line up the ones place, tenths place, hundredths place, and so on. Once aligned, add or subtract column-by-column from right to left, just like whole numbers. Insert zeros as placeholders if decimal lengths differ.
2. What's the difference between terminating and non-terminating decimals for Class 6 Olympiad?
Ans. Terminating decimals end after a fixed number of digits (like 0.5 or 0.75), while non-terminating decimals continue indefinitely (like 0.333...). Terminating decimals result from fractions with denominators containing only factors of 2 and 5. Non-terminating decimals typically arise from fractions with other prime factors. Understanding this distinction helps predict decimal behaviour without long division.
3. How do I multiply and divide decimals without making silly mistakes?
Ans. For decimal multiplication, multiply numbers ignoring the decimal point, then count total decimal places in both factors and place the decimal point accordingly in the product. For division, convert the divisor to a whole number by shifting decimal points equally in both dividend and divisor, then divide normally. These techniques prevent common place-value errors in Olympiad worksheet solutions.
4. Why do some decimal problems ask about place value and significant figures?
Ans. Place value determines a digit's worth based on its position (tenths, hundredths, thousandths). Significant figures indicate precision and matter in measurement contexts. Both concepts evaluate whether students genuinely understand decimal structure rather than just performing mechanical calculations. Mastering these ensures accurate answers in complex Olympiad decimal problems involving real-world applications.
5. How can I convert fractions to decimals and check my answers using worksheet solutions?
Ans. Divide the numerator by the denominator using long division to convert fractions to decimals. Terminating decimals have finite digits; non-terminating ones repeat. Reverse the process by writing the decimal as a fraction and simplifying to verify. Refer to mind maps and flashcards on EduRev to reinforce decimal-to-fraction conversions and strengthen Olympiad problem-solving accuracy.
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