Question

what is the scientific notation of

(6.7x10to the power of 4)(2.9x10to the power of 5)

Answer 1

(6.7 x 2.9)(10^4 x 10^5)

Answer 2

\((6.7 \times 10^4) \times (2.9 \times 10^5) \)

First, step, what is 6.7 * 2.9 = ?

Answer 3

it would equal 19.43

Answer 4

right?

Answer 5

Good.
Now what is \(10^4 \times 10^5\) = ?

Answer 6

yes and using exponent rules 10^4 x 10^5=10^9
put it all together and you get...???

Answer 7

it would be 110,000
@mathstudent55

Answer 8

and @acxbox22

Answer 9

no
by put it together i mean
19.43 multiplied by 10^9
that is still not in scientific form so
it is 1.943 x 10^9

Answer 10

oh okay then hold up @acxbox22

Answer 11

then it would be 110,019.43

Answer 12

@acxbox22 you confusing me sorry i need step by step the way @mathstudent55 is doing

Answer 13

No.
There are two parts.
1. 6.7 * 2.9 = 19.43. You already did that.
2. 10^4 * 10^5 = 10^9

Now you put the two parts together, and you get this:
That means
\((6.7 \times 10^4) \times (2.9 \times 10^5) = 19.43 \times 10^9\)
We're not done yet, though, because 19.43 is not scientific notation.

The first part of the number in scientific notation has to be greater than or equal to 1 and less than 10.
19.43 is obviously greater than 10.

Answer 14

i can see that 19.43 is greater than 10....

Answer 15

Since to make 19.43 between 1 and 10 we need to divide 19.43 by 10, we need to multiply the second part, 10^9 by 10, to get 10^10.
The answer is
\(1.943 \times 10^{10}\)

Answer 16

whoops...it is 1.943 x 10^10
like @mathstudent55 said

Answer 17

ohhh okay well thank you @mathstudent55

Answer 18

do you guys want to help me with more or no?

Answer 19

Sure. Pls start a new post.

Answer 20

alright