Well-designed AP Board Solutions Class 6 Maths Chapter 8 Decimals Exercise 8.2 offers step-by-step explanations to help students understand problem-solving strategies.
Decimals Class 6 Exercise 8.2 Solutions – 6th Class Maths 8.2 Exercise Solutions
Question 1.
Express as rupees using decimals.
a) 5 paise
b) 75 paise
c) 20 paise
d) 50 rupees 90 paise
e) 725 paise
Solution:
We know that 100 paise = ₹ 1;
1 paise = \(\frac { 1 }{ 100 }\)
a) 5 paise = ₹ \(\frac { 5 }{ 100 }\) = ₹ 0.05
b) 75 paise = ₹\(\frac { 75 }{ 100 }\) = ₹ 0.75
c) 20 paise = ₹\(\frac { 20 }{ 100 }\)= ₹ 0.20 = ₹ 0.2
d) 90 Paise = ₹ \(\frac { 90 }{ 100 }\) = ₹ 0.90
So, 50 rupees 90 paise = ₹ (50 + 0.90) = ₹ 50.90
e) 725 paise = ₹ \(\frac { 725 }{ 100 }\) = ₹ 7.25
Question 2.
Express as metres using decimals.
a) 15 cm
b) 6 cm
c) 2 m 45 cm
d) 9 m 7 cm
e) 419 cm
Solution:
We know that 100 cm = 1 m;
1 cm = \(\frac { 1 }{ 100 }\) m.
a) 15 cm = \(\frac { 15 }{ 100 }\) m = 0.15 m
b) 6 cm = \(\frac { 6 }{ 100 }\) m = 0.06 m
c) 2 m 45 cm = 2 m + 45 cm
= 2 m + \(\frac { 45 }{ 100 }\) m
= 2m + 0.45 m = 2.45 m
d) 9 m 7 cm
= 9 m + 7 cm
= 9 m + \(\frac { 7 }{ 100 }\) m
= 9 m + 0.07 m = 9.07 m
e) 419 cm = \(\frac { 419 }{ 100 }\) m = 4.19 m.
Question 3.
Express as cm using decimals.
a) 5 mm
b) 60 mm
c) 164 mm
d) 9 cm 8 mm
e) 93 mm
Solution:
10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm.
a) 5 m = \(\frac { 5 }{ 10 }\) cm = 0.5 cm
b) 60 mm = \(\frac { 60 }{ 10 }\) cm = 6 cm
c) 164 mm = \(\frac { 164 }{ 10 }\) cm = 16.4 cm
d) 9 cm 8 mm = 9 cm + 8 mm
= 9 cm + \(\frac { 8 }{ 10 }\) cm.
= 9 cm + 0.8 cm = 9.8 cm
e) 93 mm = \(\frac { 93 }{ 10 }\) cm = 9.3 cm
Question 4.
Express as km using decimals.
a) 8 m
b) 88 m
c) 8888 m
d) 70 km 5 m
Solution:
We know that 1000 m = 1 km
∴ 1 m = \(\frac { 1 }{ 1000 }\) km
a) 8 m = \(\frac { 8 }{ 1000 }\) km = 0.008 km
b) 88 m = \(\frac { 88 }{ 1000 }\) km = 0.088 km
c) 8888 m = \(\frac { 8888 }{ 1000 }\) km = 8.888 km
d) 70 km 5 m = 70 km + 5 m
= 70 km + \(\frac { 5 }{ 1000 }\) km
= 70 km + 0.005 km
= 70.005 km
Question 5.
Express as kg using decimals.
a) 2 g
b) 100 g
c) 3750 g
d) 5 kg 8 g
e) 26 kg 50 g
Solution:
We know that 1000 g = 1 kg
1 g = \(\frac { 1 }{ 1000 }\) kg
a) 2 g = \(\frac { 2 }{ 1000 }\) kg = 0.002 kg
b) 100 g = \(\frac { 100 }{ 1000 }\) kg = 0.100 kg = 0.1 kg
c) 3750 g = \(\frac { 3750 }{ 1000 }\) kg = 3,750 kg.
d) 5 kg 8 g = 5 kg + 8 g
= 5 kg + \(\frac { 8 }{ 1000 }\) kg
= 5 kg + 0.008 kg
= 5.008 kg.
e) 26 kg 50 g = 26 kg + 50 g
= 26 kg + \(\frac { 50 }{ 1000 }\) kg
= 26 kg + 0.050 kg
= 26.05 kg