convert the following 25 mm in to dm. step by step
Answers
Question :
Convert 25 mm in to dm.
Given :
The given Metric measure is 25mm
To Convert :
25mm to dm
Conversion Used :
Solution :
Answer :
25 mm = 0.25 dm
Metric Prefix and Suffix Table
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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}dm1 mm =10
−2
dm
\begin{gathered}\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}\\\\\\\end{gathered}
1mm=10
−3
1dm=10
−1
=10
−3
mm=10
−1
dm
=1dm=10
−3
÷10
−1
mm
=1dm=10
−3
×10
+1
→a
m
×a
n
=a
m+n
=10
−3+1
=10
−2
Solution :
\begin{gathered}\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}\end{gathered}
1 mm =10
−2
dm
=25mm=10
−2
×25
→a
−n
=(
a
1
)
n
=(
10
1
)
2
×25
→(
b
a
)
m
=
b
m
a
m
=
10
2
1
2
×25
=
100
1
×25
=
100
25
=0.25dm
=0.25dm
Answer :
25 mm = 0.25 dm
Metric Prefix and Suffix Table
\begin{gathered}\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}}\end{gathered}
\cline1−4Factor
\cline1−410
12
\cline1−410
9
\cline1−410
6
\cline1−410
3
\cline1−4
Name
tera
giga
mega
kilo
Symbol
T
G
M
K
NumericalValue
1000000000000
1000000000
1000000
1000
\begin{gathered}\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}}\end{gathered}
\cline1−4Factor
\cline1−410
2
\cline1−410
1
\cline1−410
−1
\cline1−410
−2
\cline1−4
Name
hecto
Deka
deci
centi
Symbol
H
D
d
c
NumericalValue
100
10
0.1
0.01
\begin{gathered}\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}}\end{gathered}
\cline1−4Factor
\cline1−410
−3
\cline1−410
−6
\cline1−410
−9
\cline1−410
−12
\cline1−4
Name
milli
micro
nano
pico
Symbol
m
\µ
n
p
NumericalValue
0.00q
0.000001
0.000000\001
0.000000000\001
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