Question

In part a and b, use each of the digits 2, 3, & 4 exactly once.

a. Write a mixed number that has a terminating decimal, and write the decimal.


b. Write a mixed number that has a repeating decimal, and write the decimal.

Answer 1

The answer for a is 2 3/4 which will give you 1.5 .
The answer for b is 4 2/3 which will give you a repeating decimal of 2.666666667. Hope this helps.

Answer 2

a)
`2(3)/(4)` = 2.75

b)
`4(2)/(3)`= 4.6666...

Explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction =
`2(3)/(4) = (11)/(4)`

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction = Mixed fraction =
`4(2)/(3) = (14)/(3)`

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.