question_answer 14)

Write each of the following as decimals. (a) \[\frac{1}{10}\] (b) \[1mm=\frac{1}{10}cm\] (c) \[\therefore \] (d) \[5mm=5\times \frac{1}{10}cm=\frac{5}{10}cm=0.5cm\] (e)\[1mm=\frac{1}{10}cm\]

Answer:

(a) We have, \[20+9+\frac{4}{10}+\frac{1}{100}=29+4\times \frac{1}{10}\times 1\times \frac{1}{100}\] \[60mm=60\times \frac{1}{10}cm=\frac{60}{10}cm=6.0cm\] (b) We have, \[1mm=\frac{1}{10}cm\] \[\therefore \] (c) We have, \[164mm=164\times \frac{1}{10}cm=\frac{164}{10}cm=16.4cm\] \[1mm=\frac{1}{10}cm\] \[\therefore \] (d) We have, \[9cm8mm=9cm+8mm=9cm+8\times \frac{1}{10}cm\] \[=9cm+\frac{8}{10}cm=\left( 9+\frac{8}{10} \right)cm=(9+0.8)cm=9.8cm\] (e) We have, \[1mm=\frac{1}{10}cm\] \[\therefore \]