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 .

choose a number that will produce a rational answer when multiplied by 09 Choose from among these four numbers 25 square 7 1732050807 Complete each step to help class=

Respuesta :

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

Answer with explanation:

A number is said to be a Rational number if it can be written in the form of [tex]\frac{p}{q}[/tex] 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

 [tex]\rightarrow 0.9 \times \frac{2}{5}=\frac{1.8}{5}\\\\=0.36[/tex]

→0.36 is a rational number.

Option A: [tex]\frac{2}{5}[/tex]