Question

Write the following numbers in the expanded form with exponential notation:

$70,78,282$

Answer 1

Writing the expanded form with exponential notation of a number

Given number: $70,78,282$

We know that for converting number in exponents form we have to multiply each digit with their place value and add them

Using the above criteria for converting in exponential form:

$\begin{array}{rcl}70,78,282& =& 7\times 10,00,000+0\times 1,00,000+7\times 10,000+8\times 1,000+2\times 100+8\times 10+2\\ & =& 7\times {10}^6+0\times {10}^5+7\times {10}^4+8\times {10}^3+2\times {10}^2+8\times {10}^1+2\end{array}$

$7\times {10}^6+0\times {10}^5+7\times {10}^4+8\times {10}^3+2\times {10}^2+8\times {10}^1+2$, is the required exponential form.