What Kind Of Number Is -14.85? Select All That Apply.

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Introduction

In mathematics, numbers can be classified into various categories based on their properties and characteristics. Understanding the type of number a given value represents is essential in various mathematical operations and applications. In this article, we will explore the different types of numbers and determine which category the number -14.85 belongs to.

Types of Numbers

There are several types of numbers, including:

Whole Numbers

Whole numbers are positive integers, including 0, that do not have any fractional parts. Examples of whole numbers include 0, 1, 2, 3, and so on.

Integers

Integers are whole numbers, including 0, and their negative counterparts. They do not have any fractional parts. Examples of integers include -5, -4, -3, -2, -1, 0, 1, 2, 3, and so on.

Rational Numbers

Rational numbers are numbers that can be expressed as the ratio of two integers, where the denominator is non-zero. They can be expressed in the form a/b, where a and b are integers. Examples of rational numbers include 3/4, 22/7, and -14.85.

Irrational Numbers

Irrational numbers are numbers that cannot be expressed as a ratio of two integers. They have decimal expansions that go on indefinitely without repeating. Examples of irrational numbers include the square root of 2, pi, and e.

Real Numbers

Real numbers are all rational and irrational numbers combined. They include all numbers that can be expressed on the number line, including positive and negative numbers, integers, and fractions.

Imaginary Numbers

Imaginary numbers are numbers that, when squared, give a negative result. They are used to extend the real number system to the complex number system. Examples of imaginary numbers include i and -i.

Is -14.85 a Whole Number?

No, -14.85 is not a whole number because it has a fractional part.

Is -14.85 an Integer?

No, -14.85 is not an integer because it has a fractional part.

Is -14.85 a Rational Number?

Yes, -14.85 is a rational number because it can be expressed as a ratio of two integers, -1485/100.

Is -14.85 an Irrational Number?

No, -14.85 is not an irrational number because it can be expressed as a ratio of two integers.

Is -14.85 a Real Number?

Yes, -14.85 is a real number because it is a rational number, which is a subset of real numbers.

Is -14.85 an Imaginary Number?

No, -14.85 is not an imaginary number because it is a real number.

Conclusion

In conclusion, the number -14.85 is a rational number, a real number, and not a whole number, integer, irrational number, or imaginary number. Understanding the type of number a given value represents is essential in various mathematical operations and applications.

Frequently Asked Questions

  • What is the difference between a rational and irrational number? A rational number is a number that can be expressed as a ratio of two integers, while an irrational number is a number that cannot be expressed as a ratio of two integers.
  • What is the difference between a real and imaginary number? A real number is a number that can be expressed on the number line, while an imaginary number is a number that, when squared, gives a negative result.
  • Is -14.85 a whole number? No, -14.85 is not a whole number because it has a fractional part.
  • Is -14.85 an integer? No, -14.85 is not an integer because it has a fractional part.

References

  • "Types of Numbers" by Math Open Reference
  • "Rational and Irrational Numbers" by Khan Academy
  • "Real and Imaginary Numbers" by Purplemath