Question

Which statement is correct?

Answer 1

The correct statement is the third figure, that is:

$\frac{3.56 \times 10^2}{1.09 \times 10^4} > (4.08 \times 10^2)(1.95 \times 10^{-6})$

To prove this, we need to solve each side of the inequality and see that, in fact, the term on the left side is greater than the term on the right. So:

$\frac{356}{10900} \ \textgreater \ (408)(1.95 \times 10^{-6}) \\ \\ 0.032 \ \textgreater \ 7.956 \times 10^{-4} \\ \\ \boxed{0.032 \ \textgreater \ 0.0007956}$

As you can see 0.032 is greater than 0.0007956, so this is the only answer that is true. The rest of the choices are false! Recall that Inequality tells us about the relative size of two values. Inequality refers the term greater or less than (this may include or not the equality)