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 .
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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]