To do:We have to find (i) $7.9 \div 1000$(ii) $26.3 \div 1000$(iii) $38.53 \div 1000$(iv) $128.9 \div 1000$(v) $0.5 \div 1000$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$Therefore, (i) $7.9\div1000=\frac{79}{10}\times\frac{1}{1000}$$=\frac{79}{10000}$$=0.0079$(ii) $26.3\div1000=26.3\times\frac{1}{1000}$$=\frac{263}{10}\times\frac{1}{1000}$$=\frac{263}{10000}$$=0.0263$(iii) $38.53\div1000=38.53\times\frac{1}{1000}$$=\frac{3853}{100}\times\frac{1}{1000}$$=\frac{3853}{100000}$$=0.03853$(iv) $128.9\div1000=128.9\times\frac{1}{1000}$$=\frac{1289}{10}\times\frac{1}{1000}$$=\frac{1289}{10000}$$=0.1289$(v) $0.5\div1000=0.5\times\frac{1}{1000}$$=\frac{5}{10}\times\frac{1}{1000}$$=\frac{5}{10000}$$=0.0005$Read More

To do:We have to find(i) $2.7 \div 100$(ii) $0.3 \div 100$(iii) $0.78 \div 100$(iv) $432.6 \div 100$(v) $23.6 \div100$(vi) $98.53 \div 100$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$Therefore, (i) $2.7\div100= \frac{27}{10}\times\frac{1}{100}$$= \frac{27}{1000}$$= ... Read More

To do:We have to find(i) $4.8 \div 10$(ii) $52.5 \div 10$(iii) $0.7 \div 10$(iv) $33.1 \div 10$(v) $272.23 \div 10$(vi) $0.56 \div 10$(vii) $3.97 \div10$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$Therefore, (i) ... Read More

To do:We have to find(i) $0.4 \div 2$(ii) $0.35 \div 5$(iii) $2.48 \div 4$(iv) $65.4 \div 6$(v) $651.2 \div 4$(vi) $14.49 \div 7$(vii) $3.96 \div 4$(viii) $0.80 \div 5$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.$\frac{a}{b} \div \frac{c}{d} = ... Read More

To do:We have to find (i) $2.5 \times 0.3$(ii) $0.1 \times 51.7$(iii) $0.2 \times 316.8$(iv) $1.3 \times 3.1$(v) $0.5 \times 0.05$(vi) $11.2 \times 0.15$(vii) $1.07 \times 0.02$(viii) $10.05 \times 1.05$(ix) $101.01 \times 0.01$(x) $100.01 \times 1.1$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left ... Read More

Given: A two-wheeler covers a distance of 55.3 km in one liter of petrol.To do: We have to find how much distance it will cover in 10 liters of petrol.Solution:Distance covered by two-wheeler in $1$ liter of petrol $=55.3\ km$Distance covered using 10 liters of petrol $=55.3\times10$$=553.0\ km$Therefore, it will ... Read More

To do:We have to find(i) $1.3 \times 10$(ii) $36.8 \times 10$(iii) $153.7 \times 10$(iv) $168.07 \times 10$(v) $31.1 \times 100$(vi) $156.1 \times 100$(vii) $3.62 \times 100$(viii) $43.07 \times 100$(ix) $0.5 \times 10$(x) $0.08 \times 10$(xi) $0.9 \times 100$(xii) $0.03 \times 1000$Solution:On multiplying a decimal by $10^n$, the decimal point shifts ... Read More

Given: Length of the rectangle $= 5.7\ cm$Breadth of the rectangle $= 3\ cm$To do: Here we have to find the area of the rectangle.Solution:We know that, Area of rectangle $=$ Length $\times$ BreadthArea of the rectangle $=5.7\times 3\ cm^2$Area of rectangle $=17.1\ cm^2$Hence, the area of the rectangle is $17.1\ cm^2$.Read More

To do:We have to find(i) $0.2 \times 6$ (ii) $8 \times 4.6$ (iii) $2.71 \times 5$(iv) $20.1 \times 4$(v) $0.05 \times 7$ (vi) $211.02 \times 4$ (vii) $2 \times 0.86$Solution:On dividing a decimal by $10^n$, the decimal point is shifted to the left by $n$ places.(i) $0.2\times6=\frac{2}{10}\times6$$0.2\times6=\frac{12}{10}$$0.2\times6=1.2$(ii) $8\times4.6=8\times\frac{46}{10}$$8\times4.6=\frac{368}{10}$$8\times4.6=36.8$(iii) $2.71\times5=\frac{271}{100}\times5$$2.71\times5=\frac{1355}{100}$$2.71\times5=13.55$(iv) $20.1\times4=\frac{201}{10}\times4$$20.1\times4=\frac{804}{10}$$20.1\times4=80.4$(v) $0.05\times7=\frac{5}{100}\times7$$0.05\times7=\frac{35}{100}$$0.05\times7=0.35$(vi) $211.02\times4=\frac{21102}{100}\times4$$211.02\times4=\frac{84408}{100}$$211.02\times4=844.08$(vii) $2\times0.86=\frac{2}{1}\times\frac{86}{100}$$2\times0.86=\frac{172}{100}$$2\times0.86=1.72$Read More

Given :The given terms are 28 km and 42.6 km.To do :We have to find the difference of 42.6 km and 28 km.Solution : To find out how much 28 km is less than 42.6 km, we have to subtract 28 km from 42.6 km.Therefore, $42.6\ km - 28\ km = ... Read More