Question

Which of the following numbers are rational?

a) 2.1259....
b) .333333
c) 2/7
d) 3
e) 1

Answer 1

A rational number is a number that can be expressed as a fraction. Among the given numbers, options b), c), d), and e) are rational numbers.

Step-by-step explanation:

To determine which of the given numbers are rational, we need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Let's analyze each option:

a) 2.1259....: This number is a non-repeating decimal and cannot be written as a fraction. Therefore, it is not a rational number.

b) .333333: This number is a repeating decimal. It can be written as the fraction 1/3, so it is a rational number.

c) 2/7: This number is a fraction and can be written as 2/7, so it is a rational number.

d) 3: This number can be written as the fraction 3/1, so it is a rational number.

e) 1: This number can be written as the fraction 1/1, so it is a rational number.

In conclusion, the rational numbers among the given options are b), c), d), and e).