![]() Remember also, these are never-ending digits, with no repeating pattern.The last known record calculation of Π is up to 2.7 TRILLIONdigits! While it can be approximated to 3.14159, the actual value of Π only begins with 3.14159.Π is the ratio of a circle’s circumference to its diameter.The most famous example of an irrational number is Π or pi.A decimal that keeps repeating is a good example of this.In other words, it’s a decimal that never ends and has no repeating pattern. Real Numbers : All numbers that can be represented on the number line are. These are also called terminating decimals. In the same way, a decimal that does not keep repeating (.eg. So, what makes a fraction/decimal rational?Ī fraction x/y, where numerator x is an integer (…,-4, -3, -2, -1, 0, 1, 2, 3,4,…) and denominator y is a natural number (1, 2, 3,4) is rational. These numbers include all the above (natural, whole, integers) PLUS some types of fraction/decimal. ![]() All natural numbers are whole numbers and integers.Integers include all whole numbers (0) and also the negatives of the natural numbers: so (∞…,-4, -3, -2, -1, 0, 1, 2, 3,4, …∞). 0 is only a whole number, and not a natural number.Also, see how the numbers 1,2, 3….are both natural numbers and whole numbers?.So, as you can see, natural numbers are a subset of whole numbers. ![]() When we first learned to count, we started with 1, 2, 3, 4….and kept learning until we got to the millions and trillions, right? These counting numbers (1, 2, 3, 4, 5, 10, 100, 1000, 1,000,000…∞) are called natural numbers.ĭid you notice something missing in natural numbers? Yes, the number 0! Good catch!Add that to natural numbers (0,1,2,3……∞) and you have whole numbers!
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