RBSE Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 8 Decimals Ex 8.2

Question 1.
Complete the table with the help of these boxes and use decimals to write the number:

Answer:

Question 2.
Write the numbers given in the following place value table in decimal form:

Answer:
(a) 0 × 100 + 0 × 10 + 3 × 1 + 2 × \(\frac{1}{10}\) + 5 × \(\frac{1}{100}\) + 0 × \(\frac{1}{1000}\)
= 0 + 0 + 3 + \(\frac{2}{10}+\frac{5}{100}\) + 0
= 3 + 0.2 + 0.05 = 3.25

(b) 1 × 100 + 0 × 10 + 2 × 1 + 6 × \(\frac{1}{10}\) + 3 × \(\frac{1}{100}\) + 0 × \(\frac{1}{1000}\)
= 100 + 0 + 2 + \(\frac{6}{10}+\frac{3}{100}\) + 0
= 102 + 0.6 + 0.03 = 102.63

(c) 0 × 100 + 3 × 10 + 0 × 1 + 0 × \(\frac{1}{10}\) + 2 × \(\frac{1}{100}\) + 5 × \(\frac{1}{1000}\)
= 0 + 30 + 0 + 0 + \(\frac{2}{100}+\frac{5}{1000}\)
= 30+ 0.02 + 0.005 = 30.025

(d) 2 × 100 + 1 × 10 + 1 × 1 + 9 × \(\frac{1}{10}\) + 0 × \(\frac{1}{100}\) + 2 × \(\frac{1}{1000}\)
= 200 + 10  + 1 + \(\frac{9}{10}+\frac{2}{1000}\)
= 211 + 0.9 + 0.002 = 211.902

(e) 0 × 100 + 1 × 10 + 2 × 1 + 2 × \(\frac{1}{10}\) + 4 × \(\frac{1}{100}\) + 1 × \(\frac{1}{1000}\)
= 10 + 2 + \(\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}\)
= 12 + 0.2 + 0.04 + 0.001 = 12.241

Question 3.
Write the following decimals in the place value table :
(a) 0.29
(b) 2.08
(c) 19.60
(d) 148.32
(e) 200.812
Answer:

Question 4.
Write each of the following as decimals :
(a) 20 + 9 + \(\frac{4}{10}+\frac{1}{100}\)
Answer:
20 + 9 + \(\frac{4}{10}+\frac{1}{100}\)
= 2 × 10 + 9 × 1 + 4 × \(\frac{1}{10}\) + 1 × \(\frac{1}{100}\) = 29.41

(b) 137 + \(\frac{5}{100}\)
Answer:
137 + \(\frac{5}{100}\) = 1 × 100 + 3 × 10 + 7 × 1 + 0 × \(\frac{1}{10}\) + 5 × \(\frac{1}{100}\) = 137.05

(c) \(\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}\)
Answer:
\(\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}\)
= 7 × \(\frac{1}{10}\) + 6 × \(\frac{1}{10}\) + 4 × \(\frac{1}{100}\) = 0.764

(d) 23 + \(\frac{2}{10}+\frac{6}{1000}\)
Answer:
23 + \(\frac{2}{10}+\frac{6}{1000}\)
= 2 × 10 + 3 × 1 + 2 × \(\frac{1}{10}\) + 0 × \(\frac{1}{100}\) + 6 × \(\frac{1}{1000}\) = 23.206

(e) 700 + 20 + 5 + \(\frac{9}{100}\)
Answer:
700 + 20 + 5 + \(\frac{9}{100}\) = (7 × 100) + (2 × 10) + (5 × 1) + 0 × \(\frac{1}{10}\) + 9 × \(\frac{1}{100}\) = 725.09

Question 5.
Write each of the following decimals in words:
(a) 0.03
(b) 1.20
(c) 108.56
(d) 10.07
(e) 0.032
(f) 5.008
Answer:
(a) Zero point zero three
(b) One point two zero
(c) One hundred eight point five six
(d) Ten point zero seven
(e) Zero point zero three two
(f) Five point zero zero eight

Question 6.
Between which two numbers in tenths place on the number line does each of the given number lie?
(a) 0.06
(b) 0.45
(c) 0.19
(d) 0.66
(e) 0.92
(f) 0.57
Answer:
(a) 0 and 0.1
(b) 0.4 and 0.5
(c) 0.1 and 0.2
(d) 0.6 and 0.7
(e) 0.9 and 1.0
(f) 0.5 and 0.6

Question 7.
Write as fractions in lowest terms:
(a) 0.60
(b) 0.05
(c) 0.75
(d) 0.18
(e) 0.25
(f) 0.125
(g) 0.066
Answer: