Question

Create a multiplication problem whose answer is 8 x 10^13. Both factors must be in scientific notation

Answer 1

`(2*10^6)*(4*10^7)=(2*4)*10^(6+7)=8*10^(13)`

Explanation:

We first need to understand one concept, the multiplication of numbers in scientific notation. it is shown below:

`(a*10^x)*(b*10^y)=a*b*10^(x+y)`

This means, we have to multiply the constant and add the powers of 10 together.

Thus, to get 8 * 10^13, we gotta come up with any 2 constant that MULTIPLIED gives 8 and any 2 exponents that added gives us 13.

So, we can think of 2 constants as "2" & "4", because multiplied, gives 2 * 4 = 8

and

we can think of 2 exponents as 6 and 7, because added give 6+7=13

Thus, we can write:

`(2*10^6)*(4*10^7)=(2*4)*10^(6+7)=8*10^(13)`