- Calculator Connection • Use your calculator to find decimal equivalents • Look for differences and similarities between the groups. • When you are done and your friends are still working brainstorm: • How can you cut a round pizza into eight equal slices with just 3 cuts?
- Group 1 • ¾ 7/8 9/100 13/5 • Group 2 • 1/6 2/7 29/13 11/12 • Group 3
- Rational Numbers Irrational Numbers Real Numbers Integers Whole Numbers Natural Numbers
- Definitions Natural Numbers • counting numbers from 1,2,3,4,5,……………. Whole Numbers • natural numbers including zero. They are 0,1,2,3,4,5,……………Integers set of whole numbers and their opposites. • …, -3, -2, -1, 0, 1, 2, 3, ….. • Zero is neither positive nor negative, but is both.
- Rational Numbers • comes from the word ratio • A number is rational if it can be expressed as a ratio, of two whole numbers • Examples:3/4, 5, 2/7, 3.75, 0.2727..
- Irrational Numbers : • Cannot be expressed as a ratio of integers. • As decimals they never repeat or terminate (rationals always do one or the other) • Real Numbers-rational and irrational numbers • Any number that you can find on the number line.
- Number Natural Whole Integer Rational Irrational Real -7 0.121212… 0.303303330 4/5 0.6666… 6/13
- Rational • Irrational • negative
- Which is true?1. All whole numbers are real.2. All rational numbers are real.3. All of the other4. All irrational numbers are real.
- Which of the following is not a natural number?1. 92. 3453. -4 04. none of these
- Human Number Line • Each child’s birthday is a fraction • For example nov 8 is • Name any fraction that needs to be simplified • Name any fraction whose value is greater than one
- Write a number line using these fractions in order from least to greatest • Is the number greater than ½ or less? • How do you know? • Which birthday create the smallest fraction? • Which number create the largest?
- The Psychic Game • 2 points for every even integer • 2 points if the product of all the numbers is negative • 5 points for at least two negative integers • 5 points if one of the numbers is 0 • 10 points if the sum of the natural numbers is greater than 500 • 10 points for at least one pair of opposite numbers
- 15 points for at least one negative irrational number • 15 points for at least one rational number between 1 and 2 • 20 points for at least one rational number between -2 and -3 • 25 points for at least one perfect square
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