NCERT Solutions Class 6th Maths Chapter – 8 Decimals Exercise – 8.2

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

Solution:

Solution:

(a) (0×100) + (0×10)+(3×1) + (2×1/10) + (5×1/100) + (0×1/1000)
= 0 + 0 + 3 + 0.2 + 0.05 + 0
= 3.25

(b) (1×100) + (0×10) +  (2×1) + (6×1/10) + (3×1/100) + (0×1/1000)
= 100 + 0 + 2+ 0.6 + 0.03
= 102.63

(c) (0×100) + (3×10)+(0×1)+(0×1/10)+(2×1/100)+(5×1/1000)
= 0 + 30 + 0 + 0 + 0.02 + 0.005
= 30.026

(d) (2×100)+(1×10)+(1×1)+(9×1/10)+(0×1/100)+(2×1/1000)
= 200 + 10 + 1 + 0.9 +0 + 0.002
= 211.902

(e) (0×100) + (1×10) + (2×1) + (2×1/10) + (4×1/100) + (1×1/1000)
= 0 +10 + 2 + 0.2 + 0.04 + 0.001
= 12.241

Question 3. Write the following decimals in the place value table.
(a) 0.29
Solution:  0.29 = 0 + 0.2 + 0.09
= 0 Ones + 2 Tenths + 9 Hundredths

(b) 2.08
Solution: 2.08 = 2 + 0.0 + 0.08
= 2 Ones + 0 Tenths + 8 Hundredths

(c) 19.60
Solution: 19.60 = 10 + 9 + 0.6 + 0.00
= 1 Tens + 9 Ones + 6 Tenths + 0 Hundredths

(d) 148.32
Solution: 148.32 = 100 + 40 + 8 + 0.3 + 0.02
= 1 Hundred + 4 Tens + 8 Ones + 3 Tenths + 2 Hundredths

(e) 200.812
Solution: 200.812 = 200 + 0.8 + 0.01 + 0.002
= 2 Hundreds + 8 Tenths + 1 Hundredth + 2 Thousandths
The above information, we can gives in place value Table:

Question 4. Write each of the following as decimals.

(A) 20 + 4/10 + 1/100
Solution: 29.41

(B) 137 + 5/100
Solution: 137.05

(C) 7/10 + 6/100 + 4/1000
Solution: 0.764

(D) 23 + 2/10 + 6/1000
Solution: 23.206

(E) 700 + 20 + 5 + 4/100
Solution: 725.009

Question 5. Write each of the following decimals in words.
(a) 0.03
Solution: 0.03 = Zero point zero three

(b) 1.20
Solution: 1.20 = One point two zero

(c) 108.56
Solution: 108.56 = One hundred eight point fifty-six

(d) 10.07
Solution: 10.07 = Ten point zero seven

(e) 0.032
Solution: 0.032 = Zero point zero three two

(f) 5.008
Solution: 5.008 = Five point zero zero eight

Question 6. Between which two numbers in tenths place on the number line does each of the given numbers lie?
(a) 0.06
Solution: 0.06 lies between 0 and 0.1

(b) 0.45
Solution: 0.45 lies between 0.4 and 0.5

(c) 0.19
Solution: 0.19 lies between 0.1 and 0.2

(d) 0.66
Solution: 0.66 lies between 0.6 and 0.7

(e) 0.92
Solution: 0.92 lies between 0.9 and 1.0

(f) 0.57
Solution: 0.57 lies between 0.5 and 0.6

Question 7. Write as fraction in lowest terms.
(a) 0.60
Solution: 0.60 = 0 + 6/10
⇒ 6/10 = 3/5

(b) 0.05
Solution: 0.05 = 0 + 5/100
⇒ 5/100 = 1/20

(c) 0.75
Solution: 0.75 = 0 + 75/100
⇒ 75/100 = 3/4

(d) 0.18
Solution: 0.18 = 0 + 18/100
⇒ 18/100 = 9/50

(e) 0.25
Solution: 0.25 = 0 + 25/100
⇒ 25/100 = 1/4

(f) 0 .125
Solution: 0.125 = 0 + 125/1000
⇒ 125/1000 = 1/8

(g) 0.066
Solution: 0.066 = 0 + 66/1000
⇒ 66/1000 = 33/500