Question

Identify each number and determine if it's irrational or rational.

A) √20 (Irrational)
B) 7/9 (Rational)
C) 20% (Rational)
D) 7/5 (Rational)
E) 22/99 (Rational)

Answer 1

The given numbers are categorized as either irrational or rational. √20, an approximated value of 4.47, is irrational. 7/9, 20%, 7/5, and 22/99 are all rational numbers.

Step-by-step explanation:

A) √20: The square root of 20 is an irrational number. It cannot be expressed as a fraction or a terminating or repeating decimal. It is approximately equal to 4.47.

B) 7/9: 7/9 is a rational number. It can be expressed as a fraction and as a terminating or repeating decimal. In this case, it is a proper fraction.

C) 20%: 20% is a rational number. It represents a percentage, which can always be expressed as a fraction by dividing by 100. In this case, 20% is equivalent to the fraction 20/100 which simplifies to 1/5.

D) 7/5: 7/5 is a rational number. It can be expressed as a fraction and as a terminating decimal. It is an improper fraction.

E) 22/99: 22/99 is a rational number. It can be expressed as a fraction and as a repeating decimal. It is a proper fraction.