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

`(3)/(16)`

`4(2)/(11)`

`√(5)`

Explanation:

`√(5)=2.2360679...\\\\(3)/(16)=0.1875\\\\4(2)/(11)= (46)/(11)=4.18181818...`

The decimal forms of some real numbers, like
`(3)/(16)`, terminate, while the decimal forms of other real numbers, like
`4(2)/(11)`, do not terminate, but have a repeating pattern. Still other real numbers, like
`√(5)`, have decimal forms that neither terminate nor repeat.