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Don’t Be Irrational

Don’t Be Irrational. Working with Irrational Numbers. A rational number is a number that can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

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Don’t Be Irrational

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  1. Don’t Be Irrational Working with Irrational Numbers

  2. A rational number is a number that can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. • The number 8 is a rational number because it can be written as the fraction 8/1. • Likewise, 3/4 is a rational number because it can be written as a fraction. • Even a big, clunky fraction like 7,324,908/56,003,492 is rational, simply because it can be written as a fraction. Every whole number is a rational number, because any whole number can be written as a fraction. For example, 4 can be written as 4/1, 65 can be written as 65/1, and 3,867 can be written as 3,867/1. Rational Review

  3. All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. • An irrational number has endless non-repeating digits to the right of the decimal point. Here are some irrational numbers: • pi = 3.141592…  • √2= 1.414213… Irrational Numbers

  4. Although irrational numbers are not often used in daily life, they are used a lot in higher level math and when scientists, engineers, or architects are taking exact measurements. There are far more irrational numbers that exist on a number line than rational numbers In fact, between 0 and 1 on the number line, there are an infinite number of irrational numbers! Plus, irrational numbers will show up on the TAKS and lots of other math exams you will take in the future ;) Uncommon, but important

  5. Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. • The perfect squares are the squares of the whole numbers. • The square root of a number, n, written below is the number that gives n when multiplied by itself. I saw a Square Root in there!

  6. A Square Root Chart to make it less scary 

  7. What happens if I have a square root of a number that isn’t a perfect square? For example: √5 No worries! Just figure out what two numbers it would fall between by using your chart. Irrational Square Roots

  8. Plotting Square Roots on a Number Line To plot a square root on a number line, either plot it as a whole number if it is whole or estimate what two whole numbers it would fall between. Back to the Number Line

  9. Pi is a name given to the ratio of the circumference of a circle to the diameter. Pi is classified as an irrational number because it is a non-repeating, never-ending decimal number In order to make life more simple, mathematicians typically estimate and round it to 3.14 Pi…yum!

  10. Where do I put Pi on a number Line? Back to the Number Line

  11. Good News! You can order irrational numbers using a number line the same way we have with all the rational numbers. Make a number line scaled to fit the numbers you want to plot Plot all your points Write them from LEFT to RIGHT for LEAST to GREATEST or RIGHT to LEFT for GREATEST to LEAST Ordering

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