Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Write the following numbers in the expanded form: 120719.

Last updated date: 20th Apr 2024
Total views: 423.3k
Views today: 4.23k
Verified
423.3k+ views
Hint: Break up the number according to their place value. The value of digits in a number increases as we move from left to right.

\begin{align} & \overset{\overset{Lakh}{\mathop{\uparrow }}\,}{\mathop{}}\,\underset{\underset{\begin{smallmatrix} \text{ }Ten \\ Thousand \end{smallmatrix}}{\mathop{\downarrow }}\,}{\mathop{}}\,\overset{\overset{Thousand}{\mathop{\uparrow }}\,}{\mathop{}}\,\underset{\underset{\text{ Hundred }}{\mathop{\downarrow }}\,}{\mathop{}}\,\overset{\overset{Tens}{\mathop{\uparrow }}\,}{\mathop{}}\,\underset{\underset{\text{ Ones }}{\mathop{\downarrow }}\,}{\mathop{}}\, \\ & \underleftarrow{\text{Value of digits increase}} \\ & \therefore 120719=\left( 1\times 100000 \right)+\left( 2\times 10000 \right)+\left( 0\times 1000 \right)+\left( 7\times 100 \right)+\left( 1\times 10 \right)+\left( 9\times 1 \right) \\ & =1\times {{10}^{5}}+2\times {{10}^{4}}+0\times {{10}^{3}}+7\times {{10}^{2}}+1\times {{10}^{1}}+9\times {{10}^{0}} \\ \end{align}
\begin{align} & \underrightarrow{\text{Value of digit decreaes}} \\ & \underset{\underset{\begin{smallmatrix} \text{ Hundred} \\ Thousand \end{smallmatrix}}{\mathop{\downarrow }}\,}{\mathop{}}\,\overset{\overset{\begin{smallmatrix} \text{ }Ten \\ Thousand \end{smallmatrix}}{\mathop{\uparrow }}\,}{\mathop{}}\,\underset{\underset{Thousand}{\mathop{\downarrow }}\,}{\mathop{}}\,\overset{\overset{Hundred}{\mathop{\uparrow }}\,}{\mathop{}}\,\underset{\underset{\text{ Tens }}{\mathop{\downarrow }}\,}{\mathop{}}\,\overset{\overset{Unit}{\mathop{\uparrow }}\,}{\mathop{}}\, \\ & \underleftarrow{\text{Value of digits increase}} \\ & \therefore \text{ Expanded form }=100000+20000+0+700+10+9 \\ & =120719 \\ \end{align}