Question

choose a number that will produce a rational answer when multiplied by 0.9. Choose from among these four numbers : 2/5 , square 7 , 1.732050807 ... Complete each step to help you make your choice .

Answer 1

Answer with explanation:

A number is said to be a Rational number if it can be written in the form of
`(p)/(q)` if p and q are Integers and q≠0.

A decimal number or Rational number in the decimal form Terminates or non terminating repeating.

An Irrational number has decimal expansion equal to non terminating non repeating decimal.

→0.9 = A Rational Number

→ A Rational Number × Another Rational Number= Rational Number

`\rightarrow 0.9 * (2)/(5)=(1.8)/(5)\\\\=0.36`

→0.36 is a rational number.

Option A:
`(2)/(5)`

Answer 2

Step 1: The number 0.9 is a rational number.

Step 2: A rational number is desired.

Step 3: this rule applies: rational * rational = rational

The answer is 2/5 because it is a rational number.

If you have any further questions feel free to ask.

Hope this helps