## Chapter 8 Decimals Exercise 8.4

Question 1: Express as rupees using decimals.

a) 5 paise

b) 75 paise

c) 20 paise

d) 50 rupees 90 paise

e) 725 paise

Answer:

a)

₹1 = 100 paise

= 5/100

= ₹0.05

b)

₹1 = 100 paise

= 75/100

= ₹0.75

c)

₹1 = 100 paise

= 20/100

= ₹0.20

d)

₹1 = 100 paise

= 90/100

= ₹0.90

= ₹50 + ₹0.90

= ₹50.90

e)

₹1 = 100 paise

= 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

Answer:

a)

1 m = 100 cm

= 15/100

= 0.15 m

b)

1 m = 100 cm

= 6/100

= 0.06 m

c)

1 m = 100 cm

= 45/100

= 0.45 m

= 2 m + 0.45 m

= 2.45 m

d)

1 m = 100 cm

= 7/100

= 0.07 m

= 9 m + 0.07 m

= 9.07 m

e)

1 m = 100 cm

= 419/100

= 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

Answer:

a)

1 cm = 10 mm

= 5/10

= 0.5 cm

b)

1 cm = 10 mm

= 60/10

= 6.0 cm

c)

1 cm = 10 mm

= 164/10

= 16.4 cm

d)

1 cm = 10 mm

= 8/10

= 0.8 cm

= 9 cm + 0.8 cm

= 9.8 cm

e)

1 cm = 10 mm

= 93/10

= 9.3 cm

Question 4: Express as km using decimals.

a) 8 m

b) 88 m

c) 8888 m

d) 70 km 5 m

Answer:

a)

1 km = 1000 m

= 8/1000

= 0.008 km

b)

1 km = 1000 m

= 88/1000

= 0.088 km

c)

1 km = 1000 m

= 8888/1000

= 8.888 km

d)

1 km = 1000 m

= 5/1000

= 0.005 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

Answer:

a)

1 kg = 1000 g

= 2/1000

= 0.002 kg

b)

1 kg = 1000 g

= 100/1000

= 0.010 kg

c)

1 kg = 1000 g

= 3750/1000

= 3.750 kg

d)

1 kg = 1000 g

= 8/1000

= 0.008 kg

= 5 kg + 0.008 kg

= 5.008 kg

e)

1 kg = 1000 g

= 50/1000

= 0.050 kg

= 26 kg + 0.050 kg

= 26.050 kg

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