which number is irrational? explain

Question

A. 37

B. 542

C. -3.2

D. 0

Answer 1

D. 0

None of the given options are irrational numbers. Here's why:

A. 37 is an integer and all integers are rational numbers as they can be expressed as a fraction where the denominator is 1 (e.g., 37/1).

B. 542 is also an integer and therefore a rational number (e.g., 542/1).

C. -3.2 is a rational number as it can be expressed as a fraction (e.g., -16/5).

D. 0 is also a rational number because it can be expressed as a fraction with a non-zero denominator (e.g., 0/1).

An irrational number is one that cannot be expressed as a fraction or a ratio of two integers. Examples include the square root of 2, pi, and the golden ratio.