Answer:
(a) We have, 0.3 or 0.4 \[\frac{1}{100}.\] \[\therefore \] and \[1cm=\frac{1}{100}m=0.01m\] Here, whole part of both numbers are same. Now, tenths part of \[\therefore \] and tenths part of \[1m=\frac{1}{1000}km\] Here, 4 is greater than 3. \[\therefore \] \[1mm=\frac{1}{10}cm\] Hence, 0.4 is greater than 0.3. (b) We have, 0.07 or 0.02 \[\therefore \] \[1g=\frac{1}{1000}kg=0.001kg\] and \[\frac{1}{1000}\] Here, whole parts as well as tenths parts of both numbers are same i.e. 0. Now, hundredths part of \[\left( \frac{1}{10} \right)\] and hundredths part of \[=5\times 100+3\times 10+8\times 1+1\times \frac{1}{10}\] Here, 7 is greater than \[=500+30+8+\frac{1}{10}=538+0.1=538.1\]\[=2\times 100+7\times 10+3\times 1+4\times \frac{1}{10}\] Hence, 0.07 is greater than 6.02. (c) We have, 3 or 0.8 \[=200+70+3+\frac{4}{10}=273+0.4=273.4\] \[=3\times 100+5\times 10+4\times 1+6\times \frac{1}{10}\] and \[=300+50+4+\frac{6}{10}=354+0.6=354.6\] Here, whole part of number 3 = 3 and whole part of number 0.8 = 0 \[\because \] \[3>0\] Hence, 3 is greater than 0.8. (d) We have, 0.5 or 0.05 \[\therefore \]\[1mm=\frac{1}{10}cm\] and \[=7cm+\frac{5}{10}cm=7cm+0.5cm=7.5cm\] Here, whole parts of both numbers are same i.e. 0. Now, tenths part of \[=8cm+\frac{3}{10}cm=8\text{ }cm+0.3\text{ }cm=8.3\text{ }cm\]and tenths part of \[\text{2}\times \text{hundreds+1}\times \text{ten+6}\times \text{ones+3}\times \text{tenths}\] \[=2\times 100+1\times 10+6\times 1+3\times \frac{1}{10}\] \[=200+10+6+\frac{3}{10}=216+0.3=216.3\] Hence, 0.5 is greater than 0.05. (e) We have, 1.23 or 1.2 \[\text{4}\times \text{hundreds+5}\times \text{tens+4}\times \text{ones+2}\times \text{tenths}\] \[=4\times 100+5\times 10+4\times 1+2\times \frac{1}{10}\] and \[=400+50+4+\frac{2}{10}=454+0.2=454.2\] Here, whole parts and tenths parts of both numbers are same. Now, hundredths part of \[\text{7}\times \text{hundreds+3}\times \text{tens+2}\times \text{ones+1}\times \text{tenths}\] and hundredths part of \[=7\times 100+3\times 20+2\times 1+1\times \frac{1}{10}\] \[=700+30+2+\frac{1}{10}=732+0.1=732.1\] \[\frac{3}{2},\frac{4}{5}\] Hence, 1.23 is greater than 1.2. (f) We have, 0.099 or 0.19 \[\frac{8}{5}\] \[\frac{3}{2}=\frac{3\times 5}{2\times 5}\] and \[=\frac{15}{10}=1\frac{5}{10}=1+\frac{5}{10}=1+0.5=1.5\] Here, whole parts of both numbers are same. Now, tenths part of \[\frac{3}{2}\]and tenths part of \[\frac{4}{5}=\frac{4\times 2}{5\times 2}\] \[=\frac{8}{10}=0.8\] \[\frac{4}{5}\] Hence, 0.19 is greater than 0.099. (g) We have, 1.5 or 1.50 \[\frac{8}{5}=\frac{8\times 2}{5\times 2}\] \[=\frac{16}{10}=1\frac{6}{10}=1+\frac{6}{10}=1+0.6=1.6\] and \[\frac{8}{5}\] Here, whole parts, tenths parts are well as hundredths parts of both numbers are same. \[\therefore \] 1.5 = 1.50 Hence, both numbers are equal. (h) We have, 1.431 or 1.490 \[\therefore \] \[1.431=1+\frac{4}{10}+\frac{3}{100}+\frac{1}{1000}\] and \[1.490=1+\frac{4}{10}+\frac{9}{100}+\frac{0}{1000}\] here, whole parts and tenths parts of both numbers are same. Now, hundredths part of \[1.431=\frac{3}{100}\] And hundredths part of \[1.490=\frac{9}{100}\] \[\therefore \] \[\frac{9}{100}>\frac{3}{100}\] Hence, 1.490 is greater than 1.431. (i) We have, 3.3 or 3.300 \[\therefore \] \[3.3=3+\frac{3}{10}+\frac{0}{100}+\frac{0}{1000}\] and \[3.300=3+\frac{3}{10}+\frac{0}{100}+\frac{0}{1000}\] here, whole parts, tenths parts, hundredths part as well as thousandths parts of both numbers are same. \[\therefore \] 3.3 = 3.300 Hence, both numbers are equal. (j) We have, 5.64 or 5.603 \[\therefore \] \[5.64=5+\frac{6}{10}+\frac{4}{100}+\frac{0}{1000}\] and \[5.603=5+\frac{6}{10}+\frac{0}{100}+\frac{3}{1000}\] Here, whole parts and tenths parts of both numbers are same. Now, hundredths part of \[5.64=\frac{4}{100}\] and hundredths part of \[5.603=\frac{0}{100}\] \[\therefore \] \[\frac{4}{100}>\frac{0}{100}\] Hence, 5.64 is greater than 5.603.
You need to login to perform this action.
You will be redirected in
3 sec