Question

Which of the following pair of rational numbers are smaller than -5?

• A. $\frac{-12}{2}$ & $\frac{-20}{2}$
• B. $\frac{-10}{5}$ & $\frac{-32}{4}$
• C. $\frac{-27}{3}$ & $\frac{-18}{3}$
• D. $\frac{-100}{5}$ & $\frac{-200}{5}$

Answer 1

Answer: (A), (C), (D)

The correct options are
A

$\frac{-12}{2}$ & $\frac{-20}{2}$

C

$\frac{-27}{3}$ & $\frac{-18}{3}$

D

$\frac{-100}{5}$ & $\frac{-200}{5}$

a) $\frac{-12}{2}=-6$ & $\frac{-20}{2}=-10$
-6 and -10 are smaller than -5.

b) $\frac{-10}{5}=-2$ & $\frac{-32}{4}=-8$
-2 is greater than -5.

c) $\frac{-27}{3}=-9$ & $\frac{-18}{3}=-6$
-9 and -6 are smaller than -5.

d) $\frac{-100}{5}=-20$ &$\frac{-200}{5}=-40$
-20 and -40 are smaller than -5.