Question

what whole number can you substitute for a so that 1/a, a/20, 28% are ordered from least to greatest?

Answer 1

5

Explanation:

To compare the numbers, either change all numbers into decimals or into fraction with same denominators.

For this question, it is easier to convert them into fraction, since it is difficult to convert 1/a into decimal.

`(1)/(a) < (a)/(20) < 28\%`

`(100)/(100a) < (5a^2)/(100a) < (28a)/(100a)`

`100 < 5a^2 < 28a`

[1]

`100 < 5a^2`

`20 < a^2`

`4.47 < a`

[2]

`5a^(2) < 28a`

`5a < 28`

`a < 5.6`

[1] & [2]

`4.47 < a < 5.6`

Therefore, the whole number between the range is 5