Question
Which of the following is a rational number?(1 point)
Responses
7.8
7.8
π
pi
88√
the fraction with numerator 8 and denominator square root of 8
7–√
7.8 is a rational number.
To determine which of the following is a rational number, we need to understand what a rational number is.
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers (whole numbers), and the denominator is not zero.
Let's analyze each option:
1. 7.8: This is a decimal number. To check if it is a rational number, we need to see if it can be expressed as a fraction. Converting 7.8 to a fraction, we get 39/5. Since the numerator and denominator are both integers, and the denominator is not zero, 7.8 is a rational number.
2. π (pi): Pi is an irrational number. It cannot be expressed as a fraction with integer numerator and denominator, so it is not a rational number.
3. 88√: This expression is not clear. If it means 88 times the square root of a number, and the number under the square root is rational, then it is a rational number. But without knowing the specific number under the square root, we cannot determine if it is rational or not.
4. The fraction with numerator 8 and denominator the square root of 8: To determine if this fraction is rational, we need to check if the numerator and denominator are both integers (they are), and the denominator is not zero (it is not). Therefore, the fraction with numerator 8 and denominator the square root of 8 is a rational number.
5. 7–√: This expression is unclear. If it means 7 minus the square root of a number, and the number under the square root is rational, then the result might be a rational number. But without knowing the specific number under the square root, we cannot determine if it is rational or not.