How do you simplify this expression?
1 answer:
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Which number produces a rational number multiplied by 0.5
(C) 2.22 produces a rational number multiplied by 0.5.
If a number can be expressed by p/q form where p and q are whole numbers and q does not equal to 0, is called a Rational number.
If a number cannot be expressed as above then that number is called Irrational Number.
In simple term, we can say that the never-ending decimal numbers and square roots of non perfect square numbers are Irrational Numbers.
Product of two rational numbers is always a rational and the product of one rational and one irrational is always an irrational number.
Here given that the number is 0.5 which is clearly a rational number.
In order to get a rational number, we have to multiply another rational number with that.
In the given choices,
is a never-ending decimal number that is irrational.
7 is not a perfect square so
is an irrational number.
2.020020002.... is also a never-ending decimal number hence it is irrational.
Only 2.22 is rational here.
So multiplication of 2.22 and 0.5 produces a rational number since the product of two rational numbers is always a rational number.
Hence option (C) is correct.
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