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