• # question_answer 4) Write each of the following as decimals. (a) $=30+\frac{2}{100}+\frac{5}{1000}=30+0.02+0.005=30.025$ (b) $2\times 100+1\times 10+1\times 1+9\times \frac{1}{10}+0\times \frac{1}{100}+2\times \frac{1}{1000}$ (c) $=200+10+1+\frac{9}{10}+0+\frac{2}{1000}=211+\frac{9}{10}+\frac{2}{1000}$ (d) $=211+0.9+0.002=211.902$ (e) $0\times 100+1\times 10+2\times 1+2\times \frac{1}{10}+4\times \frac{1}{100}+1\times \frac{1}{1000}$ (f) $=0+10+2+\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}=12+\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}$ (g) $=12+0.2+0.04+0.001=12.241$ (h) $0.29=0+\frac{2}{10}+\frac{9}{100}$ (i) $2.08=2+\frac{0}{10}+\frac{8}{100}$ (j) $19.60=10+9+\frac{6}{10}+\frac{0}{100}$ (k) $14.8.32=100+40+8+\frac{3}{10}+\frac{2}{100}$

(a) We have, $200.8.12=200+00+0+\frac{8}{10}+\frac{1}{100}+\frac{2}{1000}$ Here, it has 5 tenths. i.e. $20+9+\frac{4}{10}+\frac{1}{100}$ (b) We have, $3+\frac{7}{10}$ Here, it has 3 ones and 7 tenths. i.e. $\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}$ (c) We have, $23+\frac{2}{10}+\frac{6}{1000}$ Here, it has 2 hundreds, 6 tens, 5 ones and one-tenths. i.e. $700+20+5+\frac{9}{100}$ $20+9+9+\frac{4}{10}+\frac{1}{100}=29+4\times \frac{1}{10}+1\times \frac{1}{100}$ (d) We have, $=29+0.4+0.01=29.41$ Here, it has 7 tens, 0 ones and 8 tenths. i.e. $137+\frac{5}{100}$(e) We have$=137+0\times \frac{1}{10}+5\times \frac{1}{100}=137+0+0.05=137.05$ Here, it has 8 ones and 8 tenths. i.e. $\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}$ (f) We have, $=7\times \frac{1}{10}+6\times \frac{1}{100}+4\times \frac{1}{1000}$ Here, it has only 2 tenths. i.e. $=0.7+0.06+0.004=0.764$ (g) We have, $23+\frac{2}{10}+\frac{6}{1000}=23+2\times \frac{1}{10}+0\times \frac{1}{100}+6\times \frac{1}{1000}$ Here, it has one ones but tenths is not complete. On multiplying by 5 in its numerator and denominator of$=23+0.2+0+0.006=23.206$we get $700+20+5+\frac{9}{100}$ Here, it has 1 ones and 5 tenths. i.e. $=725+0\times \frac{1}{10}+9\times \frac{1}{100}=725+0+0.09=725.09$ (h) We have, $0.60=\frac{60}{100}=\frac{60\div 20}{100\div 20}=\frac{3}{5}$ To make this fraction in tenths, we have to multiply by 2 in its numerator and denominator both. $\because$ $0.05=\frac{5}{100}=\frac{5\div 5}{100\div 5}=\frac{1}{20}$ Here, it has 4 tenths. i.e. $\because$ (i) We have, $0.75=\frac{75}{100}=\frac{75\div 25}{100\div 25}=\frac{3}{4}$ To make this fraction in tenths, we have to multiply by 2 in its numerator and denominator both. $\because$ $0.18=\frac{18}{100}=\frac{18\div 2}{100\div 2}=\frac{3}{4}$ Here, it has 2 ones and 4 tenths. i.e. $\because$ (j) We have, $0.25=\frac{25}{100}=\frac{25\div 25}{100\div 25}=\frac{1}{4}$ To make this fraction in tenths, we have to multiply by 2 in its numerator and denominator of 3/5. $\because$ $0.125=\frac{125}{1000}=\frac{125\div 125}{1000\div 125}=\frac{1}{8}$ Here, it has 3 ones and 6 tenths. i.e. $\because$ (k) We have, $0.066=\frac{66}{1000}=\frac{66\div 2}{1000\div 2}=\frac{33}{500}$ To make this fraction in tenths, we have to multiply by 5 in its numerator and denominator of 1/2. $\because$ $\therefore$ Here, it has 4 ones and 5 tenths. i.e. $4\times 1+5\times \frac{1}{10}=4+\frac{5}{10}=4+0.5=4.5$