Question

If 0.00000000837 is expressed as $x.37\times {10}^y,$ then $y\times {10}^x$ written as a numeral is

• A. $-8\times {10}^9$
• B. $9\times {10}^8$
• C. $-9\times {10}^8$
• D. $8\times {10}^9$

Answer 1

Answer: (B), (C)

$-9\times {10}^8$

In standard form, 0.00000000837 is expressed as $8.37\times {10}^{-9}.$
Since $8.37\times {10}^{-9}=x.37\times {10}^y,$
$x=8$ and $y=-9.$
Then, $y\times {10}^x=-9\times {10}^8.$