Answer:
1)
Scientific: 3*10^2
Standard: 300
2)
Scientific: 4.5*10^5
Standard: 450000
3)
Scientific: 1.5*10^-3
Standard: 0.0015
Step-by-step explanation:
There is a rule in mathematics that goes like this: If you have an exponent divided by an exponent and they have the same base, it is the same thing as subtracting it from each other.
Example: if we had [tex]\frac{10^5}{10^3}[/tex], we could subtract 3 from 5 and get 2, and therefore our answer would be 10^2.
We can apply this rule to all three of these problems.
1) If we subtract the exponents, we get 9-7=2. Therefore our new exponent will be 2. Next, divide the two numbers multiplying 10. They are nine and three. 9/3 is 3, so our answer is 3*10^2. Next we convert to standard form. Multiply 3 time 10^2, and you get your answer. 10^2 is 100, 3*100 is 300, so our answer in standard form would be 300.
You can repeat this same process with all of the problems.
