Answer:
B. [tex]1.997\times 10^{2}[/tex]
Step-by-step explanation:
We have been given numbers in scientific notation. We are asked to choose the greatest number from our given choices.
We can see that three of our given numbers has negative exponents and we can represent a negative exponent using property [tex]a^-b=\frac{1}{a^b}[/tex] as:
A. [tex]2.89\times 10^{-8}=2.89\times \frac{1}{10^8}=0.0000000289[/tex]
B. [tex]1.997\times 10^{2}=199.7[/tex]
C. [tex]8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089[/tex]
D. [tex]5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005[/tex]
We can see that the number with larger negative power has smallest value.
Therefore, [tex]1.997\times 10^{2}[/tex] is the greatest.
