Question

Drag the choices into the boxes to explain how all real numbers have a decimal expansion. The decimal forms of some real numbers, like Response area, terminate, while the decimal forms of other real numbers, like Response area, do not terminate, but have a repeating pattern. Still other real numbers, like Response area, have decimal forms that neither terminate nor repeat.

Answer 1

Answer:

$\frac{3}{16}$

$4\frac{2}{11}$

$\sqrt{5}$

Step-by-step explanation:

$\sqrt{5}=2.2360679...\\\\\frac{3}{16}=0.1875\\\\4\frac{2}{11}= \frac{46}{11}=4.18181818...$

The decimal forms of some real numbers, like $\frac{3}{16}$, terminate, while the decimal forms of other real numbers, like $4\frac{2}{11}$, do not terminate, but have a repeating pattern. Still other real numbers, like $\sqrt{5}$, have decimal forms that neither terminate nor repeat.