Question

0.00000000837 is expressed in its standard form as $x.37\times {10}^y$, where x and y are integers. Express the number $y\times {10}^x$ in its normal form.

• A. - 900000000
• B. 900000000
• C. 90000000
• D. - 90000000

Answer 1

The correct option is A

- 900000000

$0.00000000837$ is the given number. Now, as we see, between the decimal point and the first non zero digit in the number, we have eight zeros
Hence, we have to shift the decimal point to a place which is after the first non zero digit. In this case, we must shift it to the right by 9 places
Hence we have $0.00000000837=8.37\times {10}^{-9}$
The question says $0.00000000837=x.37\times {10}^y$ where x and y are integers.
Comparing with the standard form of 0.00000000837, we have x=8 and y = -9
$y\times {10}^x=-9\times {10}^8=-900000000$