Maharashtra Board Class 5 Maths Chapter 9 Decimal Fractions Set 37 Solutions

Question 1. Write the following mixed fractions in decimal form and read them aloud: 9 \(\frac{1}{10}\)
Answer: 9.1, Nine point one.
In simple words: This converts the mixed fraction 9 and 1/10 into its decimal form, which is 9.1, and states how to read it aloud.

🎯 Exam Tip: Pay attention to the denominator (10, 100, 1000) to correctly place the decimal point. Reading aloud helps reinforce understanding.

Question 2. Write the following mixed fractions in decimal form and read them aloud: 9 \(\frac{1}{100}\)
Answer: 9.01, Nine point zero one.
In simple words: The mixed fraction 9 and 1/100 is expressed as 9.01 in decimal form, and its pronunciation is "Nine point zero one."

🎯 Exam Tip: When the denominator is 100, ensure there are two decimal places. A zero placeholder is needed if the numerator is a single digit.

Question 3. Write the following mixed fractions in decimal form and read them aloud: 4 \(\frac{53}{100}\)
Answer: 4.53, Four point five three.
In simple words: The mixed fraction 4 and 53/100 is converted to the decimal 4.53, which is read as "Four point five three."

🎯 Exam Tip: For fractions with denominator 100, the numerator directly forms the decimal part after the whole number.

Question 4. Write the following mixed fractions in decimal form and read them aloud: \(\frac{78}{100}\)
Answer: 0.78, Zero point seven eight.
In simple words: The fraction 78/100 is written as 0.78 in decimal form, read as "Zero point seven eight," since there is no whole number part.

🎯 Exam Tip: A pure fraction less than one will always have a zero before the decimal point.

Question 5. Write the following mixed fractions in decimal form and read them aloud: \(\frac{5}{100}\)
Answer: 0.05, Zero point zero five.
In simple words: The fraction 5/100 is converted to the decimal 0.05, which is read as "Zero point zero five," requiring a zero placeholder in the tenths place.

🎯 Exam Tip: Remember to use zero as a placeholder when the numerator has fewer digits than the number of zeros in the denominator.

Question 6. Write the following mixed fractions in decimal form and read them aloud: \(\frac{5}{10}\)
Answer: 0.5, Zero point five.
In simple words: The fraction 5/10 simplifies to 0.5 in decimal form, read as "Zero point five."

🎯 Exam Tip: A denominator of 10 means one decimal place is required.

Question 7. Write the following mixed fractions in decimal form and read them aloud: \(\frac{2}{10}\)
Answer: 0.2, Zero point two.
In simple words: The fraction 2/10 is converted to the decimal 0.2, which is read as "Zero point two."

🎯 Exam Tip: Practice recognizing direct conversions for common tenths and hundredths to speed up calculations.

Question 8. Write the following mixed fractions in decimal form and read them aloud: \(\frac{20}{100}\)
Answer: 0.20, Zero point two zero.
In simple words: The fraction 20/100 is expressed as 0.20 in decimal form, read as "Zero point two zero." This is equivalent to 0.2.

🎯 Exam Tip: Trailing zeros after the decimal point do not change the value but can be useful for showing precision or alignment in specific contexts.

Place Value Of The Digits In Decimal Fractions

We can determine the place value of the digits in decimal fractions in the same way that we determine the place values of digits in whole numbers.

Example (1)

In 73.82, the place value of 7 is \(7 \times 10 = 70\), and of 3, it is \(3 \times 1 = 3\).

Similarly, the place value of 8 is \(8 \times \frac{1}{10} = \frac{8}{10} = 0.8\) and the place value of 2 is \(2 \times \frac{1}{100} = \frac{2}{100} = 0.02\)

Example (2)

Place values of the digits in 210.86.

Decimal Fractions Problem Set 37 Additional Important Questions And Answers

Question 1. Convert the mixed fraction to decimal form and read it aloud: 3 \(\frac{3}{100}\)
Answer: 3.03, Three point zero three.
In simple words: The mixed fraction 3 and 3/100 is converted into its decimal form as 3.03, which is read as "Three point zero three."

🎯 Exam Tip: Remember to use a zero as a placeholder in the tenths place when the numerator is a single digit and the denominator is 100.

Question 2. Convert the mixed fraction to decimal form and read it aloud: 3 \(\frac{33}{100}\)
Answer: 3.33, Three point three three.
In simple words: The mixed fraction 3 and 33/100 is expressed in decimal form as 3.33, pronounced as "Three point three three."

🎯 Exam Tip: When the numerator has two digits and the denominator is 100, these digits directly form the decimal part.

Question 3. Convert the mixed fraction to decimal form and read it aloud: 30 \(\frac{41}{100}\)
Answer: 30.41, Thirty point four one.
In simple words: The mixed fraction 30 and 41/100 is converted to the decimal 30.41, read as "Thirty point four one."

🎯 Exam Tip: The whole number part remains unchanged, and the fraction is converted to its corresponding decimal portion.

Question 4. Convert the mixed fraction to decimal form and read it aloud: 11 \(\frac{11}{100}\)
Answer: 11.11, Eleven point one one.
In simple words: The mixed fraction 11 and 11/100 is converted to the decimal 11.11, which is read as "Eleven point one one."

🎯 Exam Tip: This example illustrates the direct placement of the numerator digits after the decimal point when the denominator is 100 and the whole number is provided.

Question 3. Write the following numbers using the decimal point:
(1) Sixty-eight point seven six .
Answer: 68.76
(2) Nine point five zero one
Answer: 9.501
(3) Eighty-four point zero three.
Answer: 84.03
(4) Eighty-four point zero zero seven.
Answer: 84.007
(5) Two hundred ftinety-eight point zero seven.
Answer: 298.07
In simple words: This question requires converting spoken numerical values, which include whole numbers and decimal fractions, into their correct numerical representation using a decimal point.

🎯 Exam Tip: Pay close attention to the spoken "point" and the subsequent digits to accurately place the decimal and include any necessary zero placeholders for correct place value.