Question

Express the product of 300 and 500 in scientific notation.

Answer 1

Answer:

It should be $15*10^{4}$.

Step-by-step explanation:

$300=3*10^{2}\\500=5*10^{2}\\\\300*500=(3*10^{2})*(5*10^{2})=(3*5)*10^{(2+2)}=15*10^{4}=1.5*10^{5}$

Answer 2

Answer: 1.5 x 10^5

Step-by-step explanation:

The first step is to re-arrange the factors like this :

5 x 3 x 10^2 x 10^2

Since

5 x 3 = 15

and the index law

10^a x 10^b = 10^a + ^b

gives us

10^2 x 10^2 = 10^2 + ^2 = 10^4

then we can rewrite the product like this :

5 x 3 x 10^2 x 10^2 = 15 x 10^4

Finally, we need to convert this into scientific notation :

15 x 10^4 = 1.5 x 10^5  

So the final answer is

1.5 x 10^5