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

“Complete step-by-step answer:”

Expanded form is not the same as expanded notation. In the expanded form, we break up a number according to their place value and expand it to show the value of each digit.
Each number has a place value. It determines the value of that digit according to its position in the number. The value of a digit in a number increases as we move from left to right. The digits on the left have lower place value than the digits on the 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}

Note: The 120719 can be also said as;
\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}

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