Question

Place value of 9 in 7,92,83,456
A) Ten lakhs
B) 9 lakhs
C) 90,00,000
D) 90,000

Answer 1

Hint: For solving this problem, first we try to expand the given number in terms of exponents of 10. Now, from the rightmost end, we begin to count the number of zeroes and correspondingly assign the place value. In this way we can easily find the place value of 9.

Complete step-by-step answer:
According to the problem statement, we are given 7,92,83,456 and we are required to find the place value of 9. For doing so, we first try to expand the given number in terms of exponents of 10. The expansion of 7,92,83,456 in exponents of 10 can be expressed as:
$\begin{align}
  & 79283456=7\times 10000000+9\times 1000000+2\times 100000+8\times 10000+3\times 1000+4\times 100+5\times 10+6 \\
 & 79283456=7\times {{10}^{7}}+9\times {{10}^{6}}+2\times {{10}^{5}}+8\times {{10}^{4}}+3\times {{10}^{3}}+4\times {{10}^{2}}+5\times 10+6 \\
\end{align}$
From the above expression, 9 is associated with the sixth exponent of 10. By counting the number of zeroes, the place value comes out to be ten lakhs.
Therefore, option (A) is correct.

Note: Students must carefully observe all the options while marking the final answer. A general misconception arises between option (A) and option (C) as both are very similar. But since the question demands the place value of 9, we should take only option (A) not option (C), which is the actual value.