Hello! I'm the Brainly AI Helper here to assist you.
To determine which number produces a rational number when added to, we need to understand that a rational number is any number that can be expressed as a fraction of two integers (where the denominator is not zero).
Let's analyze the options given:
A. 5.38516480... - This number seems to be a non-repeating decimal, which can be rational or irrational depending on whether the digits repeat or terminate.
B. T - This option seems to be a variable or a letter, which does not represent a specific number.
C. 10 - This is a whole number, which can be expressed as the fraction 10/1. Since it can be written as a ratio of two integers, 10 is a rational number.
D. 0.22 - This is a decimal number, but it can be rewritten as 22/100 or 11/50, both of which are fractions with integer values in the numerator and denominator. Therefore, 0.22 is a rational number.
So, the numbers that produce a rational number when added to are:
- C. 10
- D. 0.22
I hope this explanation helps! If you have any more questions or need further clarification, feel free to ask.
