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101.

Express as rupees using decimals.(a) 5 paise(b) 75 paise(c) 20 paise(d) 50 rupees 90 paise(e) 725 paise.

Answer»

W.K.T. 1 Rupee = 100 paise

(a) 5 paise = 5/100 rupees = 0.05 rupees

(b) 75 paise = 75/100 rupees = 0.75 rupees

(c) 20 paise = 20/100 rupees = 0.20 rupees

(d) 50 rupees 90 paise = (50 + 90/100) rupees

(e) 725 paise = 725/100 rupees = 7.25

102.

Express as km using decimals.(a) 8 m              (b) 88 m                (c) 8888 m(d) 70 km 5 m

Answer» We know, `1000` m = `1` km
So,
(a) `8` m `= 8/1000 = 0.008` km
(b) `88` m `= 88/1000 = 0.088` km
(c) `8888` m `= 8888/1000 = 8.888` km
(d) `70` km `5` m `= (70+5/1000) = 70.005` km
103.

Express as rupees using decimals.(a) 5 paise         (b) 75 paise          (c) 20 paise(d) 50 rupees 90 paise           (e) 725 paise

Answer» We know, `100` paise = `1` rupee
So,
(i) `5` paise = `5/100` = `0.05` rupees
(ii) `75` paise = `75/100` = `0.75` rupees
(iii) `20` paise = `20/100` = `0.20` rupees
(iv) `50` rupees `90` paise = `(50+90/100)` = `50.90` rupees
(v) `725` paise = `725/100` = `7.25` rupees
104.

Express the following as cm using decimals.(a) 2 mm     (b) 30 mm     (c) 116 mm     (d) 4 cm 2 mm     (e) 162 mm(f) 83 mm

Answer» We know, 1cm=10mm
a)2mm=2/10cm=0.2cm
b)30mm=30/10cm=3cm
c)116mm=116/10=11.6cm
d)4cm2mm=4cm+2/10cm=4+0.2cm=4.2cm
e)162mm=162/10cm=16.2cm
f)83mm=83/10cm=8.3cm.
105.

Express as metres using decimals.(a) 15 cm(b) 6 cm(c) 2 m 45 cm(d) 9 m 7 cm(e) 416 cm

Answer»

we know that 1 metre = 100 cm

(a) 15 cm = 15/100  m = 0.15 m

(b) 6 cm = 6/100 m = 0.06 m

(c) 2 m 45 cm = (2 + 45/100) m = 2.45 m

(d) 9m 7 cm = (9 + 7/100) m = 9.07 m

(e) 416 cm = 419/100  m = 4.19 m

106.

Express as cm using decimals.(a) 5 mm           (b) 60 mm          (c) 164 mm(d) 9 cm 8 mm      (e) 93 mm

Answer» We know, `10` mm = `1` cm
So,
(i) `5` mm` = 5/10 = 0.5` cm
(ii) `60` mm` = 60/10 = 6` cm
(iii) `164` mm` = 164/10 = 16.4` cm
(iv)`9` cm `8` mm` =(9+8/10) = 9.8` cm
(v) `93` mm` = 93/10 = 9.3` cm
107.

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» We know, `1000` g = `1` kg
So,
(i) `2` g `= 2/1000 = 0.002` kg
(ii) `100` g `= 100/1000 = 0.1` kg
(iii) `3750` g `= 3750/1000 = 3.75` kg
(iv) `5` kg `8` g `= (5+8/1000) = 5.008` kg
(v) `26` kg `50` g `= (26+50/1000) = 26.05` kg
108.

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» We know, `100` cm = `1` m
So,
(i) `15` cm ` = 15/100 = 0.15` m
(ii) `6` cm ` = 6/100 = 0.06` m
(iii) `2` m `45` cm ` = (2+45/100) = 2.45` m
(iv) `9` m `7` cm ` = (9+7/100) = 9.07` m
(v) `419` cm ` = 419100 = 4.19` m
109.

A car covers a distance of 14.75 km in one liter of petrol. How much distance it will cover in 15.5 liters of petrol?

Answer»

Given that distance covered by car in 1 liter of petrol = 14.75 km

Distance covered by car in 15.5 liters of petrol = 14.75 × 15.5

= 228.625 km