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Natasha_Volkova [10]
3 years ago
12

Which number produces a rational number when multiplied by 0.4

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0
A, B and D are already rational numbers, 0.4 itself is a rational number, two rational numbers make a product of rational number. 
So A, B, D are the correct choices. 

Are you sure it asks for rational numbers, not irrational number?
lana66690 [7]3 years ago
7 0

Answer:

A. \frac{2}{7}

B. 0.444....

D. \sqrt{9}

Step-by-step explanation:

A rational number is a real number that can be expressed as \frac{p}{q}

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, \frac{2}{7}, 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.

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