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L. 1.3 Exploring Real Numbers Notes Natural numbers - 1, 2, 3, … Whole numbers - 0, 1, 2, 3,…. Integers- …-2,-1,0,1,2,… Rational Number- any number that you can write in the form a/b where a and b are integers and b≠0 -decimal to a/b .5= 1/2 - integer number to a/b -8= -8/1
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L. 1.3 Exploring Real Numbers Notes Natural numbers- 1, 2, 3, … Whole numbers- 0, 1, 2, 3,…. Integers-…-2,-1,0,1,2,… Rational Number- any number that you can write in the form a/b where a and b are integers and b≠0 -decimal to a/b .5= 1/2 - integer number to a/b -8= -8/1 - mixed number to a/b 1 ⅔= 5/3 Irrational number- cannot be expressed in the form a/b, where a and b are integers. Real numbers- rational and irrational numbers Absolute value- the distance from 0 on a number line. l -3 l = 3 Inequality- mathematical sentence that compares the value of two expressions using an inequality symbol < or > Opposites- two numbers that are the same distance from zero on a number line but lie in opposite directions To order or compare: change value to a decimal and compare. Examples 1. 5/6____7/9 2. 0.78, -2/3, -4/5, 0.75 3. l-4l 4. -l5l 5. 9 + l 3-6l 6. 9 opposite .83333___.7777 0.78, -0.66, -0.8, 0.75 4 -5 9+l-3l -9 .83333 > .7777 -0.8, -0.666, 0.75, 0.78 9+3 12
