Introduction to Rational Numbers Quick Check
2 of 52 of 5 Items
Question
Which of the following is a rational number?(1 point)
Responses
7.9837377283...
7.9837377283...
π
pi
7–√
square root of 7
7.8
7.8
7.8
How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario. (1 point)
Responses
56
56
1456
14 over 56
14
14
4
4
The rational number among the options given is 7.8.
To determine which of the following options is a rational number, we need to understand what a rational number is.
A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers, and the denominator is not zero.
Now let's examine each option to see if it meets the criteria:
1. 7.9837377283... is a decimal number that goes on indefinitely. It is not a rational number because it cannot be expressed as a fraction of two integers.
2. π (pi) is an irrational number. It cannot be expressed as a fraction, and its decimal representation goes on infinitely without repeating.
3. 7–√ represents the square root of 7. It is an irrational number because the square root of 7 cannot be expressed as a fraction.
4. 7.8 is a decimal number that can be expressed as the fraction 78/10. Both the numerator and denominator are integers, so it is a rational number.
In conclusion, the only option that is a rational number is 7.8.