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π Presentation Transcript

  • 1. What is π ?Rational Number….. ? orIrrational Number…..?
  • 2. Rational Numbers The word comes from "ratio" . Any number that can be made by dividing one integer by another.OR A rational number is a number that can be written as a simple fraction like …a/b
  • 3. Examples 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2) 0.75 is a rational number (3/4) 1 is a rational number (1/1) 2 is a rational number (2/1) 2.12 is a rational number (212/100) -6.6 is a rational number (-66/10)
  • 4. Irrational Numbers An irrational number cannot be expressed as a fraction. Irrationalnumbers cannot be represented as terminating or repeating decimals. So Irrational numbers are non- terminating, non-repeating decimals.
  • 5.  As you know the number for Pi ( π) continues and constantly changes. This means we cannot write a definite ratio to express this change as a proportion to its whole. .
  • 6. However, there does exist a fraction which is similarto Pi ( π ) i.e. 22 / 7After further research it has discovered that thereare several fractions which are similar to Pi.However these are approximations.Besides 22/7, 355/113 is also close.However at some ‘ n ‘number of decimals thesefractions diverge from the actual value of PI.Thus Pi is irrational
  • 7. Many of you, think that π is the terminating decimal, 3.14, but it is not. Yes, certain math problems ask you to use π as 3.14, but that problem is rounding the value of π to make your calculations easier. π is actually a non-ending decimal and is an irrational number.
  • 8. GOT IT !