Final answer:
The numbers provided are all real numbers: 18 and 92 are integers and rational numbers; 0 is an integer, a whole number, and rational; the square root of 15 is irrational; -5 is a negative integer and rational; 5/6 is a positive rational number.
Step-by-step explanation:
The set of numbers provided: 18, 92, 0, the square root of 15, -5, 5/6, are all examples of real numbers because they can all be located on the number line. Real numbers include rational numbers, which can be expressed as a fraction of two integers, and irrational numbers, which cannot be expressed as a simple fraction and have an infinite, non-repeating decimal representation.
Looking at each number:
- 18 and 92 are both positive integers and can also be considered whole numbers and rational numbers.
- 0 is an integer, and it's a special case because it's the only integer that is neither positive nor negative. It's also a whole number and a rational number.
- The square root of 15 is an irrational number because it cannot be precisely written as a fraction, and its decimal goes on forever without repeating.
- -5 is a negative integer, and also a rational number.
- 5/6 is a positive rational number, as it is already in a fraction form which is a ratio of two integers.
The set of numbers given consists of integers, fractions, and the square root of 15, which is an irrational number. Here's a breakdown of the types of numbers:
18 and 92 are positive integers.
0 is a whole number and an integer.
The square root of 15 is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal.
-5 is a negative integer.
5/6 is a rational number because it can be expressed as a fraction.
Understanding the different types of numbers helps us solve various mathematical problems and applies to different scenarios in real life as well.