Question

Which is the best estimate for written in scientific notation?

Answer 1

2.8 × 4.1 = 11.48

10³ ×
`10^(6)=10^(9)`

11.48 x
`10^(9)=1.2` x
`10^(10)`

Answer 2

For this case we have the following multiplication:

`(2.8*10^3)(4.1*10^6)`

We can rewrite the multiplication in the following way:

`(2.8*4.1)(10^3*10^6)`

Then, by properties of powers we have:

In the multiplication if we have the same base, the exponents are added:

`(2.8*4.1)(10^(3+6))`

Finally, we multiply both numbers in the parenthesis on the left and add the exponents in the parenthesis on the right:

`(11.48)(10^(9))`

Rewriting the result as scientific notation correctly, we have:

`(1.2)(10^(10))`

Answer:

The equivalent expression is given by:

`(1.2)(10^(10))`

option 1