Irrational numbers are numbers that cannot be written as common fractions or as a rational number. Once you put a negative sign next to a fraction, you must call it a rational number. However, -4/5 is a rational number, but not a fraction. However, a rational number may not be a fraction.įor example, 4/5 is both a fraction and a rational number. Rational numbers = Integers and fractionsĪ fraction is a rational number. The symbol that we use to represent the rational numbers is ℚ or Q. Rational numbers are numbers that can be written in the form p/q, in which p and q can be integers and the denominator q is not equal to zero. Example:ġ6 is an integer and can be written as 16/1 to make it a fraction. ![]() In decimal form, 1/3 = 0.3333333 and 0.3333333 is a non-terminating repeating decimal.Īll integers are fractions. Examples of fractions are 1/2, 4, 1/3, 1, 12, 15/5, and 5/3.Ī fraction can be written as a terminating decimal or as a non-terminating repeating decimal.Įxample: In decimal form, 1/2 = 0.5 and 0.5 is a terminating decimal. Fractionsįractions are numbers than can be expressed in the form a/b, in which a and b are whole numbers and b is not equal to zero. The integers can be further broken down into even numbers and odd numbers. Zero (0) is neither positive nor negative. 6, -5, -4, -3, -2, -1) are called negative integers and the positive of the whole numbers (1, 2, 3, 4, 5, 6. Integers = whole numbers and the negative of the whole numbers. Notice that the difference between whole numbers and integers are the negative numbers. The symbol that we use to represent the integers is ℤ or Z. The whole numbers can be further broken down into prime numbers and composite numbers.įor example, 7 is a prime number, but 14 is a composite number. Whole numbers = natural numbers and the number zero Notice that the only difference between the natural numbers and the whole numbers is the zero. The symbol that we use to represent the whole numbers is W. ![]() The whole numbers are the numbers 0, 1, 2, 3, 4, 5, 6. ![]() The natural numbers can be further broken down into prime numbers and composite numbers.įor example, 5 is a prime number, but 12 is a composite number. √(9) is just another way to write the number 3. Observation #1: Notice that it is OK to say that √(9) is also a natural number although it does not look like it. The symbol that we use to represent the counting numbers is ℕ or N. The natural numbers, also called positive integers, are the counting numbers 1, 2, 3, 4, 5, 6. ![]() Trending Questions What is the answer to 5x-7 equals 23? How many sectors would be formed by a circle if each sector had a central angle of 30 degrees 20? Is it true Differ plus -ence equals difference? How old would Aristotle be if he was still alive? What two number multiply to make 130? How many yards is 6000square feet? What side of the health triangle do you think is most affected by outside influences? What is 10.6 divided by 0.04? Is 56m equal to 600mm? What is a collection of data and information that is to be delivered to a specific audience? Why will placing a dented ping pong ball in boiling water take the dent out? What resulted form the triangle fire? 100 square meters is how many cubic meters? Who Financier whose pyramid schemes collapsed in 1873? How do you round to the nearest cent 2448.Some important definitions and observations about the classification of numbers Natural numbers
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