Question

Write the corresponding numeral of the following –
\[7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1\]

Answer 1

Hint: To convert the expanded form of any numeral to a numeral form we have to just simplify the given expression. To simplify the expression we will do this by simplifying each term and then finally add all the terms.

Complete step-by-step solution:
In the given question there is an expanded form of a numeral is given and we have to convert it to numeral form.
\[7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1\]
Now , To convert expanded form to numeral form we have to simplifying each term and then add all simplified term .
The term in any expression is separated by addition symbol and subtraction symbol.
In the above question there is five terms which are –
\[\text{7}\times \text{10000}\];
\[\text{2}\times \text{1000}\];
\[\text{5}\times \text{100}\];
\[\text{9}\times \text{10}\] and
\[\text{6}\times \text{1}\] .
So, now we have to solve each expression separately.
On solving the first term in the given question, we get –
\[7\times 10000=70000\,...........(i)\]
On solving the second term in the given question, we get –
\[2\times 1000=2000\,..........(ii)\]
On solving the third term in the given question, we get –
\[5\times 100=500\,..............(iii)\]
On solving the fourth term in the given question, we get –
\[9\times 10=90\,..................(iv)\]
On solving the fifth term in the given question, we get –
\[6\times 1=6\,....................(v)\]
As we have solved all the terms, now we have to add all the terms.
So , on adding equation (i) , (ii) , (iii) ; (iv) and (v) , we get –
\[70000+2000+500+90+6=72596\]
\[\Rightarrow 7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1=72596\]

Note: Alternative method to solve these type of question in which w have to convert expanded form to numeral form is by simplifying the given expression by BODMAS method.
So , for the above question \[7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1\]
Now for simplifying with BODMAS in above question we have to first do multiplication and then addition.
\[\begin{align}
  & 7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1=70000+2000+500+90+6 \\
 & \Rightarrow 7\,\times \,10000\,+\,2\,\times \text{1000}\,\text{+}\,\text{5}\,\times \text{100}\,\text{+}\,\text{9}\times \text{10}\,\text{+}\,6\,\times \,1=72590 \\
\end{align}\]