Question

For the following problems, fill in the blanks with rational numbers. Show work proving that your numbers create true statements. (Do not use -1 and 1)

Answer 1

a. 6, - 9

b. 100, - 7

c. 0.25, - 5

Explanation:

Here in these problems we have to fill up the blanks with rational numbers other than -1 and 1.

a. Let us assume that x and y are the numbers respectively in the blacks to be filled.

So, xy = (- 18) × 3 = - 54.

Therefore, x maybe 6 and y maybe - 9 and they will give the product as - 54 (Answer)

b. Let us assume that x and y are the numbers respectively in the blacks to be filled.

So,
`(y)/(x) =-(7)/(100)`.

Therefore, x maybe 100 and y maybe - 7 (Answer)

c. Let us assume that x and y are the numbers respectively in the blacks to be filled.

So, xy = - 1.25

Therefore, x maybe 0.25 and y maybe - 5. (Answer)