Maharashtra Board Class 5 Maths Chapter 9 Decimal Fractions Set 36 Solutions

Question 1. \(3\frac{9}{10}\)
Answer: 3.9, Three-point nine.
In simple words: The mixed fraction \(3\frac{9}{10}\) means 3 whole units and 9 tenths, which in decimal form is 3.9. It is read as "three point nine."

🎯 Exam Tip: Remember to correctly identify the whole number part and the fractional part when converting mixed fractions to decimals for accurate reading.

Question 2. \(1\frac{4}{10}\)
Answer: 1.4, One point four.
In simple words: The mixed fraction \(1\frac{4}{10}\) represents 1 whole unit and 4 tenths, which translates to the decimal 1.4. It is read as "one point four."

🎯 Exam Tip: Pay attention to the position of the decimal point, as it separates the whole number from the fractional part (tenths, hundredths, etc.).

Question 3. \(5\frac{3}{10}\)
Answer: 5.3, Five-point three.
In simple words: The mixed fraction \(5\frac{3}{10}\) means 5 whole units and 3 tenths, resulting in the decimal 5.3. This is read as "five point three."

🎯 Exam Tip: Practice reading decimals aloud to reinforce understanding of place value after the decimal point.

Question 4. \(\frac{8}{10}\)
Answer: 0.8, Zero points eight.
In simple words: The fraction \(\frac{8}{10}\) represents 8 tenths, which is written as 0.8 in decimal form. It is read as "zero point eight."

🎯 Exam Tip: For fractions less than one, the whole number part is 0, and the decimal point is followed by the tenths digit.

Question 5. \(\frac{7}{10}\)
Answer: 0.5, Zero points five.
In simple words: The fraction \(\frac{7}{10}\) signifies 7 tenths, which in decimal notation is 0.7. It is read as "zero point five."

🎯 Exam Tip: Ensure you clearly differentiate between numbers in the tenths place (first digit after decimal) and other decimal places.

Hundredths

If \(\frac{1}{10}\) is divided into 10 equal parts, each part becomes \(\frac{1}{100}\) or one hundredth. Therefore, note that 1 tenth = 10 hundredths, or 0.1=0.10. By multiplying \(\frac{1}{100}\) by 10 we get \(\frac{10}{100} = \frac{1}{10}\). Therefore, it is possible to create a hundredths place next to the tenths place. After creating a hundredths place we can write \(\frac{14}{100}\) as 0.14.

\(\frac{14}{100} = \frac{10+4}{100} = \frac{10}{100} + \frac{4}{100} = \frac{1}{10} + \frac{4}{100}\) meaning that when writing \(\frac{14}{100}\) in decimal form, 1 is written in the tenths place and 4 is written in the hundredths place. This fraction is written as 0.14 and is read as 'zero point one four'. Similarly, \(6\frac{57}{100}\) is written as 6.57 and \(50\frac{71}{100}\) is written as 50.71.

While writing \(\frac{3}{100}\) in decimal form, we must remember that there is no number in the tenths place and so, we put 0 in that place, which means that \(\frac{3}{100}\) is written as 0.03.

Study how the decimal fractions in the table below are written and read.

Decimal Fractions Problem Set 36 Additional Important Questions And Answers

Question 1. \(4\frac{6}{10}\)
Answer: 4.6, Four point six. 7
In simple words: The mixed fraction \(4\frac{6}{10}\) is composed of 4 whole units and 6 tenths, which converts to the decimal 4.6. This is read as "four point six." The trailing '7' appears to be extraneous text.

🎯 Exam Tip: Be careful to distinguish the whole number part from the decimal fraction part when reading mixed numbers.

Question 2. \(4\frac{0}{10}\)
Answer: 2.7, Two point seven.
In simple words: The question as written, \(4\frac{0}{10}\), represents 4 whole units and zero tenths, which should be 4.0. However, the provided answer is 2.7, which would correspond to \(2\frac{7}{10}\). There is a discrepancy between the question and the answer.

🎯 Exam Tip: Always cross-verify the question and answer for consistency, especially with mixed fractions and decimals, as literal transcription errors can occur in source materials.

Question 3. \(4\frac{0}{10}\)
Answer: 6.2, Six points two.
In simple words: The question as written, \(4\frac{0}{10}\), represents 4 whole units and zero tenths, which should be 4.0. However, the provided answer is 6.2, which would correspond to \(6\frac{2}{10}\). There is a discrepancy between the question and the answer.

🎯 Exam Tip: Pay close attention to the numerical value of both the whole number and fractional parts when converting to decimals to avoid errors, and be aware of potential inconsistencies in given problems.

Question 4. \(4\frac{0}{10}\)
Answer: 21.1, Twenty-one point one.
In simple words: The question as written, \(4\frac{0}{10}\), represents 4 whole units and zero tenths, which should be 4.0. However, the provided answer is 21.1, which would correspond to \(21\frac{1}{10}\). There is a discrepancy between the question and the answer.

🎯 Exam Tip: Accurately identifying the whole number and the decimal places is crucial for correct conversion and reading of decimal fractions. Always question inconsistencies if they arise.

Question 5. \(4\frac{0}{10}\)
Answer: 17.5, Seventeen points five.
In simple words: The question as written, \(4\frac{0}{10}\), represents 4 whole units and zero tenths, which should be 4.0. However, the provided answer is 17.5, which would correspond to \(17\frac{5}{10}\). There is a discrepancy between the question and the answer.

🎯 Exam Tip: Double-check all parts of a mixed fraction when converting to decimal form to ensure the final decimal value aligns with the original fraction, and report any discrepancies if found