Is 8 rational or irrational
[PDF File]8th Grade Mathematics
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repeat. Know that other numbers are called irrational. 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the
[PDF File]Math 8: Rational and Irrational Numbers - UC Santa Barbara
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a < b, there is an irrational number (without looking back at your book or notes!) Hint: You want to add something small to a (so that the result will still be less than b) and make sure that the result will be irrational. Consider the cases a is rational and a is irrational separately.
[PDF File]Rational and Irrational Numbers - eTutorWorld
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b) An irrational number can be expressed as a fraction. c) A terminating decimal is always an irrational number. d) A non-terminating decimal is always a rational number. 5. Which of these is NOT true? a) 6 is a rational number. b) π is an irrational number. c) 2 is a rational number. d) -6.9 is a rational number. 6.
[PDF File]Lesson 3 Understand Rational and Irrational Numbers
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Think Every integer, whole number, and natural number is a rational number. You can write every integer, whole number, and natural number as a fraction. So they are all rational numbers. The square root of a perfect square is also a rational number. 1 1 4 9 16 234 3 5 3 ··1 25 5 2 5 ·· 1 0 5 0 ··1 Ï···25 5 5 or 5 ··1 Think Every ...
Task: Rational or Irrational Reasoning? ESSENTIAL QUESTIONS - Troup
of the form x2 = p and x3 =p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. Know that there are numbers that are not rational, and approximate them by rational numbers. MCC8.NS.1 Know that numbers that are not rational are called ...
[PDF File]Rational/Irrational Math 8
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Rational/Irrational Math 8 Practice: Find the value of x to the nearest thousandth, then classify the numbers below with all that apply: rational, irrational, integer, and/or whole num-ber. 1. x 20 2. x 3 64 3. x 2 3 4. (right triangle) 5. (square) Area: The term square root comes from the fact that if you know the area of a
[PDF File]Weeks 8 and 9: Irrational Numbers - University of California, Los Angeles
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Weeks 8 and 9: Irrational Numbers Jiahan 1 Basic Definitions Today we investigate irrational numbers. Recall that we have the set of integers:...,−3,−2,−1,0,1,2,3,... Two positive integers are said to be coprime if their greatest common divisor is 1. A real number ris called rational if r= p q for some integers p,qwith qnonzero; ris called
[PDF File]Unit 8, Lesson 3: Rational and Irrational Numbers - Online Math Learning
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Unit 8: Pythagorean Theorem and Irrational Numbers Lesson 3: Rational and Irrational Numbers 1 (from Unit 7, Lesson 8) 5. The graph represents the area of arctic sea ice in square kilometers as a function of the day of the year in 2016. a. Give an approximate interval of days when the area of arctic sea ice was decreasing.
[PDF File]Mathematics Standarrds Clarification 8 (1)
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Assessment questions should include rational and irrational numbers where students have to decide if the number is rational or irrational and justify why with the mathematics and or explanation. • Identifying Rational Numbers: (Illustrative Mathematics) 8.NS.A.1 SBAC Sample Assessment Items
[PDF File]Grade 8 Mathematics, Quarter 1, Unit 1.1 Understanding and Using ...
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• Discover the meaning of an irrational number. • Find rational approximations of irrational numbers and use those approximations to compare the size of irrational numbers. • Approximate the location of irrational numbers on the number line. • Find square roots of small perfect squares (1, 4, 9, 16, … , 144).
[PDF File]NUMBER AND QUANTITY Rational and Irrational Numbers Grade 8 beyond what ...
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• convert a decimal expansion which repeats into a rational number (8.NS.1) • locate irrational numbers (using rational approximations) on a number line (8.NS.2) • recognize or recall examples of irrational numbers such as π, √2, and non-repeating, non-terminating decimals Sample Activities: The students will build a map or Venn
[PDF File]Rational/Irrational Math 8
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Rational/Irrational Math 8 Practice: Find the value of x to the nearest thousandth, then classify the numbers below with all that apply: rational, irrational, integer, and/or whole num-ber. 1. x 20 2. x 3 64 3. x 2 3 4. (right triangle) 5. (square) Area: The term square root comes from the fact that if you know the area of a
[PDF File]M4 –T1– L2 : Rational and Irrational Numbers
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Decide if the number is RATIONAL or IRRATIONAL. Circle the number below your choice. Cross off the number and letter above it in the key below to find the answer to the question. 0.54237. 0.9 7.47474... 2m 178 2.1221222. Rational Irrational Rational Irrational 20 25 28 18 27 16 23 14 22 10 29 c 12 x 13 -1259 22.7 12 9.292299 13.5849. 12.121212 ...
[PDF File]Section 1 - 9 Rational & Irrational
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Is the set of Rational Numbers 8. Is the set of Irrational Numbers 9. Is the set of Even Numbers closed 10. Is the set of Odd Numbers closed The Set of All EVEN NUMBERS. 4 8 24 ... Tell whether you think the following numbers are Rational or Irrational. 11. √8 12. ¥2 + √49 13. 2√27 −√3 −√75 14. è 152. √12 ∙√3 16. ...
[PDF File]8.NS.A.1 Classify Numbers as Rational or Irrational - Amazon Web Services
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8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 8.NS.A.1 Classify Numbers as Rational or Irrational
[PDF File]Math 8: Rational Numbers - UC Santa Barbara
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E.g., if we multiply the two irrational numbers √ 2 and √1 2 together, we get the rational number 1. Although we can prove the familiar facts that π and e are irrational numbers, it is unknown whether or not the numbers π +e and πe are both irrational!) • Proposition 2.1: Between any two rational numbers there is another rational number.
[PDF File]NS8-8 Irrational Numbers
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Exercises: Is the number rational or irrational? Explain. a)8 b) 0.646646664…c)0.591 d) 7. 8 e) 0.68 f) 1.41421356… Answers: a) rational because it can be written as 8/1; b) irrational because it doesn’t terminate and it doesn’t seem to repeat; c) rational because it can
[PDF File]Identifying Irrational Numbers Assignment Math 8
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Determine whether each decimal is rational or irrational number. Convert each fraction to a decimal, then determine if it is a rational or an irrational number. 1.
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