Convert the following 25 mm in to dm. step by step

1.	Convert the following 25 mm in to dm. step by step
Answer» Question : Convert 25 mm in to dm. Given : The given METRIC measure is 25mm To Convert : 25mm to dm CONVERSION Used : $\textsf{1 mm }=10^{-2}dm$ $\textsf{1mm=10}^{-3}\\\\\\\textsf{1dm=10}^{-1}\\\\\\=10^{-3}\:mm={10}^{-1}dm\\\\\\=1dm={10}^{-3}\div10^{-1}mm\\\\\\=1dm={10}^{-3}\times10^{+1}\\\\\\\to a^m\times a^n=a^{m+n}\\\\\\=10^{-3+1}\\\\\\=10^{-2}\\\\\\$ SOLUTION : $\textsf{1 mm }=10^{-2}dm\\\\\\=\textsf{25mm}=10^{-2}\times 25\\\\\\\to a^{-n}=(\frac{1}{a})^n\\\\\\=(\frac{1}{10})^2\times25\\\\\\\to (\frac{a}{b})^m=\frac{a^m}{b^m}\\\\\\=\frac{1^2}{10^2}\times25\\\\\\=\frac{1}{100}\times25\\\\\\=\frac{25}{100}\\\\\\=0.25\: dm\\\\\\\boxed{=0.25\: dm}$ Answer : 25 mm = 0.25 dm Metric PREFIX and SUFFIX Table $\boxed{\begin{array}{\|c\|c\|c\|c\|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{12} & \sf tera & T& 1\:\:000\:\:000\:\:000\:\:000\\ &&& \\ \cline {1-4} \sf 10^9 & \sf \sf giga& G& 1\:\:000\:\:000 \:\:000\\ &&& \\ \cline {1-4} \sf 10^6 & \sf mega& M& 1\:\:000\:\:000\\ &&& \\ \cline {1-4} \sf 10^3 & \sf kilo& K& 1\:\:000\\ &&& \\ \cline {1-4}\end{array}}$ $\boxed{\begin{array}{\|c\|c\|c\|c\|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{2} & \sf hecto& H& 100\\ &&& \\ \cline {1-4} \sf 10^1 & \sf \sf Deka& D& 10\\ &&& \\ \cline {1-4} \sf 10^{-1} & \sf deci& d& 0.1\\ &&& \\ \cline {1-4} \sf 10^{-2} & \sf centi& c& 0.01\\ &&& \\ \cline {1-4}\end{array}}$ $\boxed{\begin{array}{\|c\|c\|c\|c\|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{-3} & \sf milli& m& 0.00q\\ &&& \\ \cline {1-4} \sf 10^{-6} & \sf \sf micro& \µ& 0.000\:\:001\\ &&& \\ \cline {1-4} \sf 10^{-9} & \sf nano & n& 0.000\:\:000\:\001\\ &&& \\ \cline {1-4} \sf 10^{-12} & \sf pico& p& 0.000\:\:000\:\:000\:\001\\ &&& \\ \cline {1-4}\end{array}}$ Be Brainly!

Answer»

Question :

Convert 25 mm in to dm.

Given :

The given METRIC measure is 25mm

To Convert :

25mm to dm

CONVERSION Used :

$\textsf{1 mm }=10^{-2}dm$

$\textsf{1mm=10}^{-3}\\\\\\\textsf{1dm=10}^{-1}\\\\\\=10^{-3}\:mm={10}^{-1}dm\\\\\\=1dm={10}^{-3}\div10^{-1}mm\\\\\\=1dm={10}^{-3}\times10^{+1}\\\\\\\to a^m\times a^n=a^{m+n}\\\\\\=10^{-3+1}\\\\\\=10^{-2}\\\\\\$

SOLUTION :

$\textsf{1 mm }=10^{-2}dm\\\\\\=\textsf{25mm}=10^{-2}\times 25\\\\\\\to a^{-n}=(\frac{1}{a})^n\\\\\\=(\frac{1}{10})^2\times25\\\\\\\to (\frac{a}{b})^m=\frac{a^m}{b^m}\\\\\\=\frac{1^2}{10^2}\times25\\\\\\=\frac{1}{100}\times25\\\\\\=\frac{25}{100}\\\\\\=0.25\: dm\\\\\\\boxed{=0.25\: dm}$

Answer :

25 mm = 0.25 dm

Metric PREFIX and SUFFIX Table

$\boxed{\begin{array}{|c|c|c|c|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{12} & \sf tera & T& 1\:\:000\:\:000\:\:000\:\:000\\ &&& \\ \cline {1-4} \sf 10^9 & \sf \sf giga& G& 1\:\:000\:\:000 \:\:000\\ &&& \\ \cline {1-4} \sf 10^6 & \sf mega& M& 1\:\:000\:\:000\\ &&& \\ \cline {1-4} \sf 10^3 & \sf kilo& K& 1\:\:000\\ &&& \\ \cline {1-4}\end{array}}$

$\boxed{\begin{array}{|c|c|c|c|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{2} & \sf hecto& H& 100\\ &&& \\ \cline {1-4} \sf 10^1 & \sf \sf Deka& D& 10\\ &&& \\ \cline {1-4} \sf 10^{-1} & \sf deci& d& 0.1\\ &&& \\ \cline {1-4} \sf 10^{-2} & \sf centi& c& 0.01\\ &&& \\ \cline {1-4}\end{array}}$

$\boxed{\begin{array}{|c|c|c|c|} \cline {1-4}\Large\sf {Factor} & \sf \Large {Na me} & \Large \sf{Symbol} & \Large\sf {Numerical Value } \\ &&& \\ \cline {1-4} \sf 10^{-3} & \sf milli& m& 0.00q\\ &&& \\ \cline {1-4} \sf 10^{-6} & \sf \sf micro& \µ& 0.000\:\:001\\ &&& \\ \cline {1-4} \sf 10^{-9} & \sf nano & n& 0.000\:\:000\:\001\\ &&& \\ \cline {1-4} \sf 10^{-12} & \sf pico& p& 0.000\:\:000\:\:000\:\001\\ &&& \\ \cline {1-4}\end{array}}$