Ncert Solutions For Class 6 Maths Ex 8.2

Ncert Solutions For Class 6 Maths Chapter 8 Ex 8.2

1. Write numbers according to the information given in the form of table.

Capture

Ones Tenths Hundredths Number
( a )
( b )
( c )

 

Answer

 

Ones Tenths Hundredths Number
( a ) 0 5 6 0.56
( b ) 1 0 8 1.08
( c ) 1 2 7 1.27

 

 

2. Write the numbers from the table given below showing place value of numbers.

Hundreds (100) Tens (10) Ones (1) Tenths (\(\frac{1}{10}\)) Hundredths (\(\frac{1}{100}\)) Thousandths (\(\frac{1}{1000}\))
(a) 0 0 2 5 7 0
(b) 1 0 6 4 9 1
(c) 0 1 8 9 2 0
(d) 2 1 3 5 0 3
(e) 0 2 3 0 1 5

Answer

(a) \(2 + \frac{5}{10} + \frac{7}{100} = 2 + 0.5 + 0.07 = 2.57\)

(b) \(100 + 6 + \frac{4}{10} + \frac{9}{100} + \frac{1}{1000} = 100 + 6 + 0.4 + 0.09 + 0.001 = 106.491\)

(c) \(10 + 8 + \frac{9}{10} + \frac{2}{100} = 10 + 8 + 0.9 + 0.02 = 18.92\)

(d) \(200 + 10 + 3 + \frac{5}{10} + \frac{3}{1000} = 200 + 10 + 3 + 0.5 + 0.003 = 213.503\)

(e) \(20 + 3 + \frac{1}{100} + \frac{5}{1000} = 20 + 3 + 0.01 + 0.005 = 23.015\)

 

3. Write the decimal values given below in place value table.

(a) 0.46

(b) 1.73

(c) 3.08

(d) 12.69

(e) 452.103

Answer

(a) \(0.46 = 0.4 + 0.06 = \frac{4}{10} + \frac{6}{100}\)

(b) \(1.73 = 1 + 0.7 + 0.03 = 1 + \frac{7}{10} + \frac{3}{100}\)

(c) \(3.08 = 3 + 0.08 = 3 + \frac{8}{100}\)

(d) \(12.69 = 10 + 2 + 0.6 + 0.09 = 12 + \frac{6}{10} + \frac{9}{100}\)

(e) \(452.103 = 400 + 50 + 2 + 0.1 + 0.003 = 452 + \frac{1}{10} + \frac{3}{1000}\)

 

Hundreds (100) Tens (10) Ones (1) Tenths (\(\frac{1}{10}\)) Hundredths (\(\frac{1}{100}\)) Thousandths (\(\frac{1}{1000}\))
(a) 0 0 0 4 6 0
(b) 0 0 1 7 3 0
(c) 0 0 3 0 8 0
(d) 0 1 2 6 9 0
(e) 4 5 2 1 0 3

 

 

4. Write the following in the form of decimals.

(a) \(30 + 8 + \frac{5}{10} + \frac{2}{100}\)

(b) \(200 + 50 + 3 + \frac{4}{100}\)

(c) \(\frac{8}{10} + \frac{2}{100} + \frac{7}{1000}\)

(d) \(25 + \frac{6}{10} + \frac{9}{1000}\)

(e) \(600 + 37 + \frac{7}{100}\)

(f) \(1 + \frac{2}{1000}\)

Answer

(a) \(30 + 8 + \frac{5}{10} + \frac{2}{100}\) = 30 + 8 + 0.5 + 0.02 = 38.52

(b) \(200 + 50 + 3 + \frac{4}{100}\) = 200 + 50 + 3 + 0.04 = 253.04

(c) \(\frac{8}{10} + \frac{2}{100} + \frac{7}{1000}\) = 0.8 + 0.02 + 0.007 = 0.827

(d) \(25 + \frac{6}{10} + \frac{9}{1000}\) = 25 + 0.6 + 0.009 = 25.609

(e) \(600 + 37 + \frac{7}{100}\) = 600 + 37 + 0.07 = 637.07

(f) \(1 + \frac{2}{1000}\) = 1 + 0.002 = 1.002

 

5. Write in words the given below decimals.

(a) 0.05

(b) 1.35

(c) 106.54

(d) 12.09

(e) 0.058

(f) 2.007

(g) 102.107

Answer

(a) 0.05 = zero point zero five

(b) 1.35= one point three five

(c) 106.54 = one zero six point five four

(d) 12.09 = one two point three zero nine

(e) 0.058 = zero point zero five eight

(f) 2.007 = two point zero zero seven

(g) 102.107 = one zero two point one zero seven

 

6. Decimals are given below. Between which numbers in 10th places will the number will lie on number line?

(a) 0.08

(b) 0.23

(c) 0.97

(d) 0.15

(e) 0.46

(f) 0.68

(g) 0.89

Answer

(a) 0.08 – 0 and 0.1

(b) 0.23 – 0.2 and 0.3

(c) 0.97 – 0.9 and 1.0

(d) 0.15 – 0.1 and 0.2

(e) 0.46 – 0.4 and 0.5

(f) 0.68 – 0.6 and 0.7

(g) 0.89 – 0.8 and 0.9

 

7. Write the following decimals in the form of fractions in the lowest terms.

(a) 0.04

(b) 0.65

(c) 0.50

(d) 0.24

(e) 0.15

(f) 0.115

(g) 0.095

Answer

(a) 0.04 = \(\frac{40}{100} = \frac{4}{10} = \frac{2}{5}\)

(b) 0.65 = \(\frac{65}{100} = \frac{13}{20}\)

(c) 0.50 = \(\frac{50}{100} = \frac{5}{10} = \frac{1}{2}\)

(d) 0.24 = \(\frac{24}{100} = \frac{6}{25}\)

(e) 0.15 = \(\frac{15}{100} = \frac{3}{20}\)

(f) 0.115 = \(\frac{115}{1000} = \frac{23}{200}\)

(g) 0.095 = \(\frac{95}{1000} = \frac{19}{200}\)