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# Irrational and Rational Numbers

A study guide for irrational and rational numbers.

by

Tweet## Daisha Roberts

on 27 September 2012#### Transcript of Irrational and Rational Numbers

Study Guide Rational and Irrational Numbers Is the square root of 130 rational? √ What is a rational number? Numbers that can be written as fractions or as decimals that terminate or repeat are rational. Numbers like: 1.2 2/3 2.7 14.579 3.4 9 25 64 0.6 What makes a number irrational? If a number is even, that does not mean that the number is also rational. Odd numbers can be rational A number that is non repeating AND non terminating is irrational . Numbers like: 3.14 (Pi) .2698... A fraction with a zero for a denominator is also irrational . 7/0 25 81 9 289 49 169 161 225 625 Numbers like: How do you find the value of a number under the radical? Finding the square root of a number is the inverse of squaring the number. Perfect squares are the squares of whole numbers. The square root of a number, x, is the product of a number multiplied by itself (raised to the second power). Perfect Squares: 1 4 9 16 25 36 49 64 81 100 121 625 How do you place an imperfect square on a number line? When placing an imperfect square on a number line you place it between the two closest perfect squares. For example, the square root of 2 is an imperfect square. The two closest perfect squares are 1 and 4. So, when placing the square root of 2 on a number line, place it between 1 and 4. 1 4 1.414213562373095 Where would the square root of 130 be placed on a number line? Is the square root of 130 rational? Where would the square root of 130 be placed on a number line? The square root of 130 is irrational because it is not a perfect square and it is under the radical sign. On a number line the square root of 130 would be located between 11 and 12, which art the two closest perfect squares. 11 11.40175425099138 12 The End

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