## EmmaH 2 years ago Evaluate the following. Write your answer in scientific notation. (3 x 107)(6.1 x 103) 18.3 x 1010 18.3 x 1021 1.83 x 1010 1.83 x 1011

1. Hero

Multiply 6.1 x 3 Then Multiply 10^7 x 10^3 by adding exponents Finally move the decimal point accordingly. Moving the decimal point on place to the left you increase the exponent by 1 6.1 x 3 = 18.3 10^7 x 10^3 = 10^10 so you have 18.3 x 10^10 But we have to express in scientific notation so: 1.83 x 10^11

2. EmmaH

thank you so much!

3. inkyvoyd

Hero since when do you give direct answers o.o

4. inkyvoyd

also, herro hero!

5. Hero

I don't consider it giving direct answer as much as I consider it demonstration of the process. After demonstration, then I expect the user to know how to do it. Sometimes you have to demonstrate how to solve a problem.

6. Hero

If I just simply stated the answer is 1.83 x 10^11, then that is just giving the answer without explanation.

7. EmmaH

hey so would: Evaluate and write your answer in scientific notation: (2 x 107)(1.3 x 10-3) 2.6 x 10^4 2.6 x 10^-21 2.6 x 10^-4 be 2.6x10^4

8. inkyvoyd

mm - I refuse to give out answers explicitly, which is most likely why I'm not gaining any smartscore. But I do believe that even with teh process, many users just look at the answer.

9. Hero

Well, I guess we're gonna find out what @EmmaH is about.

10. Hero

@EmmaH, the process of solving this next problem is the same as the previous one.

11. Hero

The only difference is you have to subtract the exponents instead of add them.

12. Hero

Everything else is the same.

13. Hero

Well, it will require some guidance but you should at least be able to multiply the decimals and the exponents. Can you try it please?

14. EmmaH

ok so 10^7- 10^-3 would that be 10^11?

15. Hero

No, it would not. Subtract exponents means to subtract 3 from 7.

16. EmmaH

but isnt it a -3?

17. Hero

And you don't write it like that. You write it like this: 10^(7-3)

18. EmmaH

oooooh!

19. EmmaH

10^4

20. Hero

Yes, exactly. So which answer choice is it?

21. EmmaH

the first

22. Hero

Good job

23. EmmaH

thanks for the help!!