Samacheer Kalvi Class 5 Maths Solutions Term 3 Chapter 6 Fractions Exercise 6.8

Question 1. Write the following decimals in words
(i) 0.5 =
(ii) 0.8 =
(iii) 3.5 =
(iv) 6.9 =
Answer:
(i) Zero point five
(ii) Zero point eight
(iii) Three point five
(iv) Six point nine. Each digit after the decimal point is read separately.
In simple words: We say the whole number part first, then "point", and then read each digit after the point one by one.

🎯 Exam Tip: Remember to read each digit after the decimal point individually, not as a full number (e.g., 0.5 is "zero point five", not "zero point fifty").

Question 2. Express the following fractions as decimals.
(i) \( \frac{4}{10} \)
(ii) \( \frac{12}{10} \)
(iii) \( \frac{23}{10} \)
(iv) \( \frac{146}{10} \)
Answer:
(i) \( \frac{4}{10} = 0.4 \)
(ii) \( \frac{12}{10} = 1.2 \)
(iii) \( \frac{23}{10} = 2.3 \)
(iv) \( \frac{146}{10} = 14.6 \) When dividing by 10, the decimal point moves one place to the left.
In simple words: To change a fraction with a 10 at the bottom into a decimal, just move the decimal point in the top number one step to the left.

🎯 Exam Tip: For fractions with 10 as the denominator, the numerator will have one digit after the decimal point in its decimal form.

Question 3. Express the following decimals as fractions.
(i) 38.9
(ii) 9.8
(iii) 10.4
(iv) 0.8
Answer:
(i) \( 38.9 = \frac{389}{10} \)
(ii) \( 9.8 = \frac{98}{10} \)
(iii) \( 10.4 = \frac{104}{10} \)
(iv) \( 0.8 = \frac{8}{10} \) For every digit after the decimal point, we place a 10 in the denominator.
In simple words: To change a decimal to a fraction, count how many numbers are after the decimal point. If there is one number, put the whole number over 10.

🎯 Exam Tip: If there's one digit after the decimal, the denominator will be 10; if two, it will be 100, and so on.