Question

What two rational numbers are less than 1.6 but greater than -1.6

Answer 1

let's firstly convert the decimal to a fraction, namely a rational.

so we have one decimal, thus let's use 1 zero at the denominator and lose the dot on the numerator.

$\bf 1.\underline{6}\implies \cfrac{16}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{8}{5}}$

so then, what rationals are between -8/5 and +8/5?   well, a huge amount hmmm let's pick two.

$\bf \boxed{-\cfrac{8}{5}}\rule[0.35em]{9.5em}{0.25pt}~~-\cfrac{3}{5}~~\rule[0.35em]{2em}{0.25pt}0\rule[0.35em]{10em}{0.25pt}~~\cfrac{6}{5}~~\rule[0.35em]{2.5em}{0.25pt}\boxed{\cfrac{8}{5}}$