Question

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

Answer 1

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

Answer 2

thank you so much!

Answer 3

Hero since when do you give direct answers o.o

Answer 4

also, herro hero!

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

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.

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

Everything else is the same.

Answer 13

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?

Answer 14

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

Answer 15

No, it would not.

Subtract exponents means to subtract 3 from 7.

Answer 16

but isnt it a -3?

Answer 17

And you don't write it like that. You write it like this:

10^(7-3)

Answer 18

oooooh!

Answer 19

10^4

Answer 20

Yes, exactly. So which answer choice is it?

Answer 21

the first

Answer 22

Good job

Answer 23

thanks for the help!!