Question 1:
Which is greater?
(i) 0.5 or 0.05 (ii) 0.7 or 0.5 (iii) 7 or 0.7
(iv) 1.37 or 1.49 (v) 2.03 or 2.30 (vi) 0.8 or 0.88
Answer:
(i) 0.5 or 0.05
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 50 > 5,
Therefore, 0.5 > 0.05
(ii) 0.7 or 0.5
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 7 > 5,
Therefore, 0.7 >0.5
(iii) 7 or 0.7
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 70 > 7,
Therefore, 7 > 0.7
(iv) 1.37 or 1.49
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 137 < 149,
Therefore, 1.37 < 1.49
(v) 2.03 or 2.30
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 203 < 230,
Therefore, 2.03 < 2.30
(vi) 0.8 or 0.88
Converting these decimal numbers into equivalent fractions,
It can be observed that both fractions have the same denominator.
As 80 < 88,
Therefore, 0.8 < 0.88
Question 2:
Express as rupees using decimals:
(i) 7 paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise
(iv) 50 paise (v) 235 paise
Answer:
There are 100 paise in 1 rupee. Therefore, if we want to convert paise into rupees, then we have to divide paise by 100.
(i) 7 paise =
(ii) 7 Rs 7 paise =
= Rs 7.07
(iii) 77 Rs 77 paise = Rs 77.77
(iv) 50 paise
(v) 235 paise
Question 3:
(i) Express 5 cm in metre and kilometre
(ii) Express 35 mm in cm, m and km
Answer:
(i) 5 cm
(ii) 35 mm
Question 4:
Express in kg:
(i) 200 g (ii) 3470 g (iii) 4 kg 8 g
Answer:
(i) 200 g
(ii) 3470 g
(iii) 4 kg 8 g = 4.008 kg
Question 5:
Write the following decimal numbers in the expanded form:
(i) 20.03 (ii) 2.03 (iii) 200.03
(iv) 2.034
Answer:
(i) 20.03
(ii) 2.03
(iii) 200.03
(iv) 2.034
Question 6:
Write the place value of 2 in the following decimal numbers:
(i) 2.56 (ii) 21.37 (iii) 10.25
(iv) 9.42 (v) 63.352
Answer:
(i) 2.56
Ones
(ii) 21.37
Tens
(iii) 10.25
Tenths
(iv) 9.42
Hundredths
(v) 63.352
Thousandths
Question 7:
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A and C is 11.8 km from D. Who travelled more and by how much?
Answer:
Distance travelled by Dinesh = AB + BC = (7.5 + 12.7) km
Therefore, Dinesh travelled 20.2 km.
Distance travelled by Ayub = AD + DC = (9.3 + 11.8) km
Therefore, Ayub travelled 21.1 km.
Hence, Ayub travelled more distance.
Difference = (21.1 − 20.2) km
Therefore, Ayub travelled 0.9 km more than Dinesh.
Question 8:
Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?
Answer:
Total fruits bought by Shyama = 5 kg 300 g + 3 kg 250 g
= 8 kg 550 g
=
= 8.550 kg
Total fruits bought by Sarala = 4 kg 800 g + 4 kg 150 g
= 8 kg 950 g
=
= 8.950 kg
∴ Sarala bought more fruits.
Question 9:
How much less is 28 km than 42.6 km?
Answer:
Therefore, 28 km is 14.6 km less than 42.6 km.