which number produces a rational number when multiplied by 0.4

Answer:
A. [tex]\frac{2}{7}[/tex]
B. [tex]0.444....[/tex]
D. [tex]\sqrt{9}[/tex]
Step-by-step explanation:
A rational number is a real number that can be expressed as [tex]\frac{p}{q}[/tex]
Where, p and q are any integers,
Such that q ≠ 0,
If a real number is not rational then it is irrational.
Also, the product of two rational number is always a rational number while the product of a rational number and an irrational number is always an irrational number,
And, a non terminating recurring decimal and square root of a perfect square number are always a rational number,
Here, [tex]\frac{2}{7}[/tex], 0.444....., √9 and 0.4 are rational number,
⇒ 0.4 × 2/7, 0.4 × 0.4444... and 0.4 × √9 are rational number.
Therefore, option A, B and D are correct.