Which of the following is a rational number?

8
00/100
Οπ
○ 7.8
0 √7

1 answer

A rational number is any number that can be expressed as a fraction (where both the numerator and the denominator are integers, and the denominator is not zero). Let's evaluate the options you provided:

  1. 8 - This can be expressed as \( \frac{8}{1} \), so it is a rational number.
  2. 00/100 - This simplifies to \( \frac{0}{100} = 0 \). Zero is also a rational number.
  3. Οπ - This seems to be a typographical error or an unreadable symbol and cannot be classified as a number.
  4. 7.8 - This can be expressed as \( \frac{78}{10} \), so it is a rational number.
  5. 0 √7 - This is not a standard representation. If you mean \( 0 \times \sqrt{7} \), that evaluates to 0, which is a rational number. If you mean just \( \sqrt{7} \), that is irrational.

Based on the standard definitions:

  • 8 is rational.
  • 00/100 is rational (equal to 0).
  • 7.8 is rational.

So, the rational numbers among the given options are 8, 00/100, and 7.8.