What is the difference between 0.2 and 0.2 repeating? How can you operate with both 0.2 and 0.2 repeating? Will the results from

Question

1 year ago

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operating with the two rational numbers be the same or different? Provide Justification and examples to prove your reasoning.

1 answer:

Snezhnost [94] · Answer 1 · 2024-02-29T00:00:33+03:00

The difference between 0.2 and 0.2 repeating is that 0.2 is that rational number and 0.2 repeating is the rational number.

<h3>What is defined as the rational and irrational numbers?</h3>

Irrational numbers are real numbers that can't be depicted as a ratio-like fraction, p/q, where q and p are integers.
In other words, irrational numbers are real numbers which are not rational numbers.

Rational numbers are written in the form p/q, where p and q are any integer and q 0 respectively.
Q represents the set of rational numbers.
A rational number is one that can be demonstrated as a fraction with both the numerator and denominator being integers.

For the two given values;

0.2 is the rational number as it can written in the fraction form as;

0.2 = 2/10

0.2 = 1/5 which is in the p/q form.

For the value of 0.2... repeating is also the rational number as it can be also written in the form of p/q.

0.2... = 0.2 bar is the correct representation.

Therefore, the number 0.2 and 0.2 repeating are the rational numbers.

To know more about the rational number, here

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