Which is the best estimate for written in scientific notation?





2.8 × 4.1 = 11.48
10³ × [tex] 10^{6}=10^{9} [/tex]
11.48 x [tex] 10^{9}=1.2 [/tex] x[tex] 10^{10} [/tex]
For this case we have the following multiplication:
[tex] (2.8*10^3)(4.1*10^6) [/tex]
We can rewrite the multiplication in the following way:
[tex] (2.8*4.1)(10^3*10^6) [/tex]
Then, by properties of powers we have:
In the multiplication if we have the same base, the exponents are added:
[tex] (2.8*4.1)(10^{3+6}) [/tex]
Finally, we multiply both numbers in the parenthesis on the left and add the exponents in the parenthesis on the right:
[tex] (11.48)(10^{9}) [/tex]
Rewriting the result as scientific notation correctly, we have:
[tex] (1.2)(10^{10}) [/tex]
Answer:
The equivalent expression is given by:
[tex] (1.2)(10^{10}) [/tex]
option 1