question_answer 1)

Express as kg using decimals. (a) 2 g (b) 100 g (c) 3750 g (d) 5 kg 8 g (e) 26 kg 50 g

Answer:

(a) We know that, \[162mm=162\times \frac{1}{10}cm=\frac{162}{10}cm=16\frac{2}{10}cm=\left( 16+\frac{2}{10} \right)cm\] \[=(16+0.2)cm=16.2cm\] \[10mm=1cm\Rightarrow 1mm=1cm\] (b) We know that, \[\therefore \] \[83mm=83\times \frac{1}{10}cm=\frac{83}{10}cm=8\frac{3}{10}cm=\left( 8+\frac{3}{10} \right)cm\] \[=(8+0.3)cm=8.3cm\] (c) We know that, \[k=9\,cm\,5\,mm\] \[10mm=1cm\Rightarrow 1mm=\frac{1}{10}cm\]\[\therefore \] (d) We know that, \[k=9\,cm\,5\,mm\] \[=9cm+5\times \frac{1}{10}cm=9cm+\frac{5}{10}cm\] \[=9cm+0.5cm=(9+0.5)cm=9.5cm\] \[=65\,mm\] (e) We know that, \[10\,mm=1\,cm\Rightarrow 1\,mm=1/10cm\] \[\therefore \]\[=65\times \frac{1}{10}cm=\frac{65}{10}cm\] \[=6\frac{5}{10}cm=\left( 6+\frac{5}{10} \right)cm=(6+0.5)cm=6.5cm\] \[\therefore \]