Given:
Number is 96.45.
To find:
The expression that has a value of 96.45.
Solution:
In option a,
[tex]0.9645\times 10^2=0.9645\times 100[/tex]
[tex]0.9645\times 10^2=96.45[/tex]
In option b,
[tex]9.645\div 10^1=\dfrac{9.645}{10}[/tex]
[tex]9.645\div 10^1=0.9645\neq 96.45[/tex]
In option c,
[tex]964.5\times 10^3=964.5\times 1000[/tex]
[tex]964.5\times 10^3=964500\neq 96.45[/tex]
In option d,
[tex]9645\div 10^3=\dfrac{9645}{1000}[/tex]
[tex]9645\div 10^3=9.645\neq 96.45[/tex]
Therefore, the correct option is a.
