Here, you are taking two numbers that are in scientific notation and adding them.
color(white)(aaaaaaaaaaa)(1.025×10^4)+(9.814×10^5)
The thing to remember when adding in scientific notations is that you must have the base of 10 expressed with the same exponent.
So you color(red)("CANNOT") add the two together and get something like this
color(white)(aaa)wrong->[(1.025×10^4)+(9.814×10^5) = 10.839 * 10^9]
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To solve, you would have to change either the exponent in (1.025×10^4) to 10^5 or (9.814×10^5) to 10^4. We will do the former.
To change (1.025×10^4) in order to express the "base 10" as 10^5, then using our little mnemonic,
color(white)(aaaaaaaa)I color(red)("left it bigger"), but you're color(blue)("right, it's smaller")
you would move the decimal point to the color(red)("left") of 1, moving it 1 time because to get from 4->5 you get color(red)("bigger") in value so you move left.
color(white)(aaaaaaaa)(1.025×10^4)color(white)(aaaa)"becomes"color(white)(aaaa) (.1025*10^5)
**Now, add as normal. **
(.1025×10^5)+(9.814×10^5) = 9.9165 * 10^5
Note: You do not do anything with the base 10^5. You just have to express the scientific notations to have the same base and exponent in order to add at all
