Answer :
Answer:
The smallest power of 10 that will exceed [tex]M[/tex] is [tex]10^{6}[/tex].
Step-by-step explanation:
We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:
[tex]x.y \times 10^{n}[/tex], [tex]\forall \,x,y\in \mathbb{N}[/tex]
Where:
[tex]x[/tex] - Integer part, formed by a digit, which is of the highest order.
[tex]y[/tex] - Decimal part, formed by a digit onwards.
[tex]n[/tex] - Power grade.
The smallest power of 10 that will exceed M is [tex]10^{n+1}[/tex]
If [tex]M = 118,526.65902[/tex], then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of [tex]M[/tex] in scientific notation is:
[tex]M = 1.1852665902\times 10^{5}[/tex]
Then, the smallest power of 10 that will exceed [tex]M[/tex] is [tex]10^{6}[/tex].