Question

Express the product of 300 and 500 in scientific notation.

Answer 1

Answer: 1.5 x 10^5

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

Answer 2

It should be
`15*10^(4)`.

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)`