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3.1 – What is a rational number?Important Vocabulary:Rational Number – For example: 3, -5, 0.4, 35Integer – 1. Examples of rational numbers:2954867652427All decimal numbers that are terminating (stop) or repeating (with a pattern) can be written as fractions. Those that go on forever without a pattern are not rational numbers.0All decimal numbers that are terminating (stop) or repeating (with a pattern) can be written as fractions. Those that go on forever without a pattern are not rational numbers.112, -35, 1-7 these can also be written as ___________________________ by dividing the numerator by the denominator:112=11÷2=-35=-3÷5=1-7=1÷-7=____________________ are rational numbers because they can be written with the denominator of one. Ex. not all numbers can be written ________________________________, and are therefore, not rational numbers, but __________________________ numbers. For example π, and 2 cannot be written as fractions.2. What do we do with them?write a rational number between pairs of numberscan always find rational numbers between pairs of numberscan use a number line or make equivalent fractionsfor example: 1.37 and -2.6190531750010801354279902108835427990 -2.6 1.37Find a number between the following pair of rational numbers: -12 and 14find a common denominator, like 4, and make equivalent fractions:-12=-24 and 14then pick any fraction in between**Try these on your own using whichever method you like…1) 1.3 and -0.72) 14 and 24 3) -0.2 and -0.3ordering rational numberscan use a number lineeasiest to change all numbers into the same form (ie. Decimal or fraction)ex. Order these numbers from least to greatest.0.3, -12, -0.9, 138 and 2.8change them all to decimals: 0.3, -0.5, -0.9, 1.375, and 2.8then order, either using a number line or visualizing it: -0.9, -0.5, 0.3, 1.375 and 2.8**Try these on your ownOrder from least to greatest.1) 0.35, 2.5, -0.67, -0.6…, 1.72) -38, 59, -104, -114, 83 ................
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