Question

Find the simplified form of the expression. Give your answer in Scientific Notation.

(5 * 10^6)(3*10^5)

A. 1.5 * 10^11
B. 1.5 * 10^12
C. 15 * 10^11
D. 1.5 * 10^10

Answer 1

@pooja195 @SolomonZelman

Answer 2

please note that you have to multiply this:
\[5 \cdot 3 \cdot {10^6} \cdot {10^5}\]

Answer 3

what is 5*3=...?

Answer 4

5*3 = 15

Answer 5

ok!

Answer 6

and what is:
\[{10^6} \cdot {10^5} = ...?\]

Answer 7

10^6 * 10^5 = 10^11

Answer 8

ok!
so yur result is:
\[15 \cdot {10^{11}}\]

Answer 9

So the answer would be C

Answer 10

please now, keep in mind that
\[15 = 1.5 \cdot {10^1}\]

Answer 11

So, would the answer still be C or no...??

Answer 12

no, I don't think, since if I make this substitution:
\[15 = 1.5 \cdot {10^1}\]
I get:
\[5 \cdot 3 \cdot {10^6} \cdot {10^5} = 1.5 \cdot {10^1} \cdot {10^{11}}\]

Answer 13

So it would come out to be 1.5 * 10^12

Answer 14

that's right!

Answer 15

Thanks, can you help me with one more??

Answer 16

ok!

Answer 17

Really? I thought it would be D.

Answer 18

please since 15 = 1.5 * 10^1, then
15*10^11= 1.5 * 10 * 10^11 = 1.5 *10^12
@taylorswift131313

Answer 19

Ok, can you give me a medal @Michele_Laino? I gave you one.

Answer 20

thank you anyway