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Witch number produces a rational number when added to 0.3

1 Answer

5 votes

Answer:

2/4 produces a rational number when added to 0.3

Explanation:

The question is:

Which number produces a rational number when added to 0.3

a) 2/4 b) √7 c) 0.5050050005... d) π

Solution:

A rational number is one that can be written as the ratio of two integers.

It can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. When expressed as a decimal number, rational numbers will sometimes have the last digit recurring indefinitely

The first option 2/4 is a rational number. If we add 0.3 or 3/10 to it. Its sum will still be a rational number which is 4/5 or 0.8.

The second option is √7 which is an irrational number. Its exact value is 2.645751311... If we add 0.3 to it, it will still remain irrational.

The third option is also irrational

The fourth option π has a value of 3.14159.... If we add 0.3 to it, it will give the sum of 3.441592654. This is also irrational number.

Thus the correct option is 2/4.

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