Presentation on theme: "8/27/15 Please complete the “conclusion” questions on the back of your scavenger hunt. Share with a neighbor. Let’s share out."— Presentation transcript:
1 8/27/15Please complete the “conclusion” questions on the back of your scavenger hunt.Share with a neighbor.Let’s share out.
2 Making Sense of Rational and Irrational Numbers Essential Question: How are rational and irrational numbers simplified?
3 Numbers can also be classified! Biologists classify animals based on shared characteristics. The horned lizard is an animal, a reptile, a lizard, and a gecko!AnimalReptileLizardGeckoNumbers can also be classified!
4 It consists of 2 subsets – rational numbers and irrational numbers. The set of real numbers is all numbers that can be written on a number line.It consists of 2 subsets –rational numbers and irrational numbers.Irrational numbersRational numbersReal NumbersIntegersWholenumbers
8 Remember…Rational numbers can be written as a fractionor…as either a terminating or repeating decimal.4 5233 = 3.8= 0.61.44 = 1.2
9 Classify the Following: Irrational…Rational (equals -⅓)
10 Classify the Following: …Irrational (no end, no repetition)1⅔Rational (can be 5/3 )Rational (equals 10 or 10/1 )
11 Rational v. Irrational – How alike? Subsets of Real numbersCan be negativeCan be non-terminating (never end)
12 Rational v. Irrational – How different? CAN be a fractionHAS a perfect square rootCan be terminating or repeating decimalsIrrational:CANNOT be a fractionHas NO perfect square rootCan only be non-terminating, non-repeating decimals
13 Irrational numbers can be written only as decimals that do not terminate or repeat. They cannot be written as a fraction.If a whole number is not a perfect square, then its square root is an irrational number. For example, 2 is not a perfect square, so is irrational.A repeating decimal may not appear to repeat on a calculator, because calculators show a limited number of digits!Caution!