Question

Simplify the expression. Write the answer using scientific notation.
8(8.8 x 10^12)
A. 70.4 x 10^12
B. 70.4 x 10^24
C. 70.4 x 10^13
D. 1.68 x 10^13

Answer 1

8 times 8.8 = ???

Answer 2

70.4

Answer 3

So

8(8.8 x 10^12)

becomes

70.4 x 10^12

but we're not done yet because its not in scientific notation

Answer 4

ok im watching

Answer 5

however, we can say

70.4 = 7.04 x 10^1

which means

70.4 x 10^12

becomes

7.04 x 10^1 x 10^12

Answer 6

what's next?

Answer 7

Can you refresh my memory about what scientific notation is

Answer 8

scientific notation is something like this

2.03 x 10^4

or something like this

6.72 x 10^12

Answer 9

general form is

(base number) x 10^exponent

Answer 10

the "base number" has to be a number between 0 and 10 but cannot be 10

Answer 11

ok.. so whats next

Answer 12

what is 10^1 x 10^12 ?

Answer 13

hint: add the exponents

Answer 14

what do you get when you do

Answer 15

10^13?

Answer 16

good, so the final answer is

7.04 x 10^13

Answer 17

Thanks jim :)

Answer 18

sure thing