Choose the best description for the real number 34/5
Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal
Rational is a ratio of integers, a fraction.
see:
http://www.mathsisfun.com/definitions/rational-number.html
To determine whether the real number 34/5 is rational or irrational, we need to understand the definitions of rational and irrational numbers.
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers, and the denominator is not zero. In this case, 34/5 can be expressed as a fraction, with 34 as the numerator and 5 as the denominator. Therefore, it is a fraction.
On the other hand, an irrational number cannot be expressed as a fraction or a ratio of two integers. Irrational numbers include values such as the square root of 2 or pi, which cannot be represented by a simple fraction.
In the given options, we can see that the description "Rational, because it is a fraction" is the correct choice. Since 34/5 can be expressed as the fraction with integers in both the numerator and denominator, it is indeed rational.