CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.3

1. Which is greater?

1. 0.3 or 0.4
2. 0.07 or 0.02
3. 3 or 0.8
4. 0.5 or 0.05
5. 1.23 or 1.2
6. 0.099 or 0.19
7. 1.5 or 1.50
8. 1.431 or 1.490
9. 3.3 or 3.300
10. 5.64 or 5.603

Answer

(a) 0.3 or 0.4	3 4 0.3 = , 0.4 = 10 10
Here denominator being same, fraction with bigger numerator will be greater, there for 0.4> 0.3
(b) 0.07 or 0.02	7 2 0.07 = , 0.02 = 100 100
Here, whole part of numbers is same, in decimal parts frqaction, denominator being same, decimal part fraction with bigger numerator will be greater, there for 0.07> 0.02
(c) 3 or 0.8	0 8 3 + , 0 + 10 10
The whole part of 3 is greater than that of 0.8. Therefore, 3 > 0.8
(d) 0.5 or 0.05	50 5 0 + , 0 + 100 100
Here, whole parts of numbers is same, in decimal parts fraction, denominator being same, decimal part fraction with bigger numerator will be greater, there 0.5 > 0.05
(e) 1.23 or 1.2	23 20 1 + , 1 + 100 100
Here, whole part of numbers is same, in decimal parts fraction, denominator being same, decimal part fraction with bigger numerator will be greater, there for 1.23 > 1.20
(f) 0.099 or 0.19	99 190 0 + , 0 + 1000 1000
Here, whole parts of numbers are same, in decimal parts fraction, denominator being same, decimal part fraction with bigger numerator will be greater, there for 0.19 > 0.099
(g) 1.5 or 1.50	50 50 1 + , 0 + 100 100
Here, whole part of numbers is same, in decimal parts fractions also, denominators and numerators are same, there for 1.5 and 1.50 are equal
(h) 1.431 or 1.490	1.431 1.490 1.431 = , 1.490 = 1000 1000
Clearly, after converting decmals into fractions,Here denominator being same, fraction with bigger numerator will be greater, there for 1.431> 1.490
(i) 3.3 or 3.300	33 3300 3.3 = , 3.300 = 1000 1000
Clearly, after converting decimals into fractions,Here denominator being same, fraction with bigger numerator will be greater,here numerator are also same, there for numbers 3.3 and 3.300 are equal
(j) 5.64 or 5.603	564 5603 5.64 = , 5.603 = 1000 1000
Clearly, after converting decimals into fractions,Here denominator being same, fraction with bigger numerator will be greater, therefor 5.64> 5.603

2. Make five more examples and find the greater number from them.

1. 1 or 0.99
2. 1.09 or 1.093
3. 32.55 or 32.5
4. 3.3 or 3.300
5. 5.64 or 5.603

Answer:

1. 1 or 0.99 Clearly 1 < 0.99
2. 1.09 or 1.093 Clearly 1.093 > 1.09
3. 32.55 or 32.5 Clearly 32.55 > 32.5
4. 63.3 or 63.300 Clearly 63.3 = 63.300
5. 15.64 or 15.603 Clearly 15.64 > 15.603