Answer:
[tex]8.986\times 10^{7} = 8.98 \times 10^{7}[/tex]
Step-by-step explanation:
The given expression is
[tex]9.3\times 10^{7}-3.14 \times 10^{6}[/tex]
To solve this, we first need to have the like powers, that is, they must have the same exponent. To obtain such equivalence, we move the decimal point one spot to the right on the first term, that will decrease its exponent by one
[tex]93\times 10^{6}-3.14 \times 10^{6}[/tex]
Now, we extract common factors and subtract
[tex](93-3.14) \times 10^{6}=89.86\times 10^{6}[/tex]
However, the whole part of the decimal number of the scientific notation can only be between 0 and 10, and we have 89, to solve this problem, we move the decimal point one spot to the left
[tex]8.986\times 10^{7} = 8.98 \times 10^{7}[/tex]
Therefore, the right answer is the third choice.
