# Rational And Irrational Numbers Test Questions Pdf

The domain of a function f x is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. Directions: Determine if the following statement is ALWAYS true, SOMETIMES true, or NEVER true. Some examples of irrational numbers are: Note: Any root that is not a perfect root is an. Write the fraction as a decimal. org Page 1 of 14 Rational Numbers Rational Numbers and the Absolute Value ~ Lesson Plan I. record for the greatest temperature drop in one day. This book began ten years ago when I assisted a colleague, Dr. Rewrite this fraction as a percent. 135 NOTES ON RATIONAL INEQUALITIES Notes on Rational Inequalities To Solve Rational Inequalities: 1. A short summary and questions over the lesson taught. When there are variables in denominators, we then will have certain values which can cause division by zero. Rational numbers worksheet, Irrational numbers worksheet, Math Reading Science Tests for Grades , Practice Sample Test, Free Online Worksheets. The use of measures of irrational beliefs is an important component of the assessment of presenting problems in psychotherapy and may inform clinical decision making. 2 and are rational or irrational numbers, then apply the rules of operations on rational and irrational numbers. The Rational Emotive Behavior Therapy framework assumes that humans have both rational and irrational tendencies. " Proof: Let k ¡1 be an integer. Example: 1 1. (D) irrational number (W) rational number Between any two rational numbers there is a(n) (I) rational number (A) integer The union of the set of rational numbers and the set of irrational numbe called the (D) set of real numbers (B) set of integers rs 9 Every repeating or nonrepeating decimal represents a (L) real number (H) rational number. 2) There are countless rational numbers with absolute value less than 5. If the statement is true, put a check in the box. The object of this game is to quickly classify given numbers as rational or irrational numbers by dragging them in the correct bin in less than 3 minutes. worksheet from rational and irrational numbers worksheet kuta , source:bombaamor. Thus, even though there’s an infinity of fractions between 0 and 1 as well. Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3. 2 , For use with pages 475-480 1. •WordsTo divide two rational expressions, multiply by the reciprocal of the divisor. com is going to be the ideal site to stop by!. Ch 4 Unit Test - Jan 20/21, 2015 4-5_rational_exponents. The Smiths spend 23% of their monthly income on food. Key Words: Number sense Fractions Decimals Percents Rational numbers 3. Surds and Indices Questions for CAT PDF: Download Surds and Indices Questions for CAT PDF. Thus, it is an irrational number. 12 practice law examOntario ; FREE TUTORIAL TYPING PRACTICES ; Online Consolidation "precalculus for dummies". This hands-on activity will strengthen your students' skills in classifying Rational Numbers. 6) The sum of two irratio al numbers is rational. •understand the diﬀerence between surds and whole-number roots; •simplify expressions involving surds; •rationalise fractions with surds in the denominator. The pdf number line is for positive and negative integers. Therefore, the irrational numbers are 6. This Rational and Irrational Numbers Lesson Plan is suitable for 10th - 12th Grade. For example, the fraction is a ratio of the integers 2 and 4. The total process of adding or subtracting rational expressions uses finding the LCD and writing equivalent fractions. Thus, even though there’s an infinity of fractions between 0 and 1 as well. Welcome to MathPortal. com to clear your doubts. From the deﬁnition of an algebraic number it follows that every rationalnumber a b is an algebraic number as the number a b satisﬁes the equation bx − a =0. Which set includes only irrational numbers? A {7 7, 11, 4 numbers, irrational numbers, and real numbers. It doesn’t say those rational numbers are roots, just that no other rational numbers can be roots. 2 and are rational or irrational numbers, then apply the rules of operations on rational and irrational numbers. Write the fraction as a decimal. Replace the with <, >, or = to make a true statement. State the following definitions and give two examples for each of the following: [6 points] a. Note: Real numbers are numbers that can be found on the number line. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. 3: Given a numeric expression with common rational number bases and integer. 9 My Irrational and Imaginary Friends A Solidify Understanding Task Part 1: Irrational numbers. 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. What are the uses of rational numbers in real life? How about its your ‘birthday’ party and someone brings out a cake. Expert Answer. Partial credit will be given but ONLY if you have work shown. Yet these misguided behaviors are neither random nor senseless. Past Paper Questions – by topic Index 1. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. Options: If the signs all stay the same or all change, f(-x) = f(x), then you have even or y-axis symmetry. Polynomial and rational functions covers the algebraic theory to find the solutions, or zeros, of such functions, goes over some graphs, and introduces the limits. Define rational number. − 10 40 = − 0. Rational Emotive Behavior Therapy is a form of cognitive-behavior therapy created by Albert Ellis that suggests people develop core irrational beliefs based on their interpretation of the events that happen to them. And it doesn’t tell you anything about whether some irrational or even complex roots exist. Rewrite each fraction as an equivalent fraction with the LCD. Their income in May was. • Rational numbers are classified as positive, zero or negative rational numbers. reciprocal: The multiplicative inverse of a number. The HCF of two prime number is always 1 f. 1 A pipe is leaking at the rate of 8 fluid ounces per minute. Directions: Determine if the following statement is ALWAYS true, SOMETIMES true, or NEVER true. I am finding several glitches. Graph the decimals on a number line. ) Real numbers is a number that can be written as a decimal Irrational numbers is a real number and x cannot be written as a quotient of integers (Some examples of irrational numbers are , , and. Rational numbers-A ration number is a number that can be expressed in the form a/b, where “a” and “b” are integers and “b” is not equal to 0. Sample Test Questions Part 1 Rational Numbers 1. Irrational thoughts are at the core of understanding your mental illness, according to cognitive-behavioral therapy (CBT). Algebra worksheets for Algebra I and Algebra II courses that start with simple equations and polynomials and lean to advanced conics. \$\endgroup\$ – GordonM Jan 10 '17 at 10:06. Write 92% and 27 30. Simplify the following square roots √32 √18 √20 √75 √56 √40 √99 2. Let’s be Rational Problems 1. professional development institute on fractions, decimals and rational numbers. $\sqrt {3} \times \sqrt {12}$ is a irrational number d. If cell A1 contains a decimal number, and assuming Excel will display only a maximum of 15 significant digits, this formula should return the reduced fraction. Rational Expressions Practice Test Name _____ (Multiple Choice) 1. A prime number is a positive integer which has exactly two factors, 1 and itself. 2 is to the left of 0. Irrational Number Euler's Number Rational Numbers games: Ordering Rational Numbers Rational Numbers on the Number Line Classifying Numbers Integers and Real Numbers Practice Test Divide Rational Numbers Quiz Multiply Rational Numbers Quiz Adding and Subtracting Rational Numbers Quiz Rational Numbers Worksheets: Ordering Rational Numbers Worksheets. 1) 3) oS3 4) 4. Rational Number Calculator. − 10 40 = − 0. Understand informally. Preﬁguring much of the research that followed, they minimized the broader political implications of their work by specu- lating that serious citizen deﬁciencies were either circumstantial (Con- verse suggesting they reﬂected a lack of motivation) or limited to a small number of people (Lane suggesting that only a small number had. I am trying to LaTeX my old hand written notes. Practice Test 1. Free Algebra 2 worksheets created with Infinite Algebra 2. Many times, a student is capable of counting numbers, but much of this memorization is more about the recitation than about developing an actual sense of 'how big' a particular number is. Free Formula pdf : Formula book for quick reference. Thus, even though there’s an infinity of fractions between 0 and 1 as well. “Before economic growth, there were too few goods; after growth, there is too little time. Past Paper Questions – by topic Index 1. Goals and Objectives: A. Now we can divide #21# by #6# using rational numbers and the result, by definition of rational numbers, is #21/6#. Rational and Irrational Beliefs. real number: Any rational or irrational number. Frequently there is a number above the radical, like this: n p x. the set of all rational and irrational numbers. org Page 1 of 14 Rational Numbers Rational Numbers and the Absolute Value ~ Lesson Plan I. Quiz Rational & Irrational Numbers [50 points] Make sure to show all of your work and use complete sentences when necessary. All Real Numbers that are NOT Rational Numbers; cannot be expressed as fractions, only non -repeating, non. Because the learning of these topics is integral to the learning. PDF | Much of the debate concerning rational choice theory (RCT) is fruitless because many people (both critics and defenders) fail to correctly understand the role it plays in developing. Decimal representations of. As we have to find 5 rational numbers, we multiply the numbers by 6/6 3/5 = 3/5 × 6/6. 135 NOTES ON RATIONAL INEQUALITIES Notes on Rational Inequalities To Solve Rational Inequalities: 1. Step 6: Read and reflect using Rational and Irrational Reflection (printable) Directions to the students-. The integers and rational numbers arise naturally from the ideas of arithmetic. 3 with a bar over the 3. 4 Differentiation. Re: Determining if a decimal is a Rational Number. not endowed with reason or understanding. 4 Differentiate between rational and irrational numbers. 2 Preferences and Choice Rational choice theory starts with the idea that individuals have preferences and chooseaccordingtothose. The Rational Emotive Behavior Therapy framework assumes that humans have both rational and irrational tendencies. Such a rational number is called a positive rational number. Therefore, the irrational numbers are 6. Keith Calkins, remediate high school. 1 Answer Section MULTIPLE CHOICE 1 ANS: C Feedback A Found the addition pattern, but did not change the first addend in each figure B Missed the addition pattern by one, and did not change the first addend in each figure C Correct. Recognizing and using the radical symbol to denote the positive square root of a positive number ; Classifying numbers as rational or irrational ; Understand that every positive number has two square roots that are opposite in sign ; To retake this Square Roots Test, just click on this link. )real, irrational and unequal 4. Lewis Library. Note: Real numbers are numbers that can be found on the number line. C Rational numbers D Irrational numbers 11. √65 is between 6 and 7. CBSE worksheets for Rational Numbers worksheet for class 8 in PDF for free download. Polynomial and rational functions covers the algebraic theory to find the solutions, or zeros, of such functions, goes over some graphs, and introduces the limits. 1: Find the prime factorization of whole numbers and write the results using exponents. Rational Numbers d. 75 You want to order numbers from greatest to least. This case study focuses on rational and irrational consumers. Rational thought/images lead to goal attainment and more inner harmony. Thus, it is not anirrational number. Predictably Irrational: The Hidden Forces That Shape Our Decisions is a 2008 book by Dan Ariely, in which he challenges readers' assumptions about making decisions based on rational thought. 8th Math CC Unit 4 Rational and Irrational Numbers Practice Test. In order to stop your anxiety or depression you must become aware of the thoughts that you have that are irrational and replac. But, the question remains, can all polynomial equations be solved using complex numbers? Fundamental Theorem of Algebra: If ( ) Px is a polynomial of degree n 1 with complex coefficients, then. The domain of a function f x is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. 71842013… and 1. EP, 7/2013 − 3 5,−1,0 ,1,√2,𝜋,6. (iv) There are numbers which cannot be written in the form p/q , q ≠ 0 , p , q both are integers. Preposition Exercise For Evaluating Kids Worksheet Expressions 6th Grade Past Simple Questions Exercises Pdf Adding And Subtracting Rational Numbers 7th Number Worksheets Preschool Kid Zone. This chapter begins with a review of rational numbers such as fractions and recurring. Real numbers can be irrational too. This Comparing Irrational Numbers Lesson Plan is suitable for 8th Grade. 2 is rational because it can be expressed as , which is the ratio of two integers. They are denoted !. State the following definitions and give two examples for each of the following: [6 points] a. Graph the decimals on a number line. Keith Calkins, remediate high school. They are denoted !. Partial credit will be given but ONLY if you have work shown. Graph the decimals on a number line. Click here to see ALL problems on test Question 777355 : True or false - rational and irrational numbers are in the set of real numbers ? Answer by MathLover1(15847) ( Show Source ):. As we have to find 5 rational numbers, we multiply the numbers by 6/6 3/5 = 3/5 × 6/6. 2D, of how this might be accomplished. Repeating decimals and terminating decimals are Rational Numbers 2) Which statement is TRUE? a. Rational And Irrational Numbers Quiz Number Line. The real numbers essentially arise from geometry. 3: Given a numeric expression with common rational number bases and integer. 5 ABC Model Worksheets (PDF) ABC Model. WORKSHEET - COMPARE AND ORDER RATIONAL NUMBERS www. Yet these misguided behaviors are neither random nor senseless. 1 Introduction In Mathematics, we frequently come across simple equations to be solved. If the beliefs are irrational and untrue, then they cause stress and emotional disturbance. Economics of Suicide: Rational or Irrational Choice. Questions. 75 is the only positive number in the list. Directions: Determine if the following statement is ALWAYS true, SOMETIMES true, or NEVER true. Then we will move on to performing the same operations on rational expressions. square root. Partial credit will be given but ONLY if you have work shown. to-end along a number line, starting at O, so the endpoint of the last segment would be at the number 2 + Is the number we have located on the number line in this way a rational number or an irrational number? Explain your answer. Alicia concluded that the sum of two rational numbers is also rational. 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. 1) 3) oS3 4) 4. Thus √ 2, √ 5,723 are all irrational numbers. Graph the decimals on a number line. For example, pi. Reading Printable Worksheets Addition And Subtraction Word Problems Year 5 math worksheets PDF free Close Passage For Grade 4 PDF. The Rational Root Theorem says “if” there is a rational answer, it must be one of those numbers. Real number is a set of all the numbers. rational number. Nottingham, IV Germantown Psychological Associates, P. Download ebook 7th Grade Math Rational Numbers Study Guide in pdf / kindle / epub format also. Options: If the signs all stay the same or all change, f(-x) = f(x), then you have even or y-axis symmetry. Integers, Whole Numbers, and Natural numbers are Rational Numbers d. − 10 40 = − 0. com to clear your doubts. Rational and Irrational Numbers Game: Rational and Irrational Numbers Game is an interactive and fast-paced game for 8th grade students. 2001 Final Exam (Questions Relevant to Term Test 2) 2 a) Prove that n2 - 1 is divisible by 8 for every odd integer n. (There is absolutely no reason for students to need to know how to convert a repeating decimal to a rational number. Translating Euclid into Latin, the word the Greeks used for mathematical ratio (logos) got assigned to Latin ratio. Run the end of the number line with positive numbers on one color, and the negative numbers on another. GACE Mathematics Assessment Study Companion 4 Number of Selected-response Questions Test I: 45 B. A) Define and use irrational numbers. (d) A number n is odd if and only if n(n+1) is even (e) At least one of two numbers x and y is irrational if and only if the product xy is irrational. Compare, order and convert among fractions, decimals and percents. Choose from 500 different sets of 8th grade math flashcards on Quizlet. I am trying to LaTeX my old hand written notes. Trusted by 70 Lakh Students. The Mathematics test assesses mathematical knowledge and competencies. (b) An integer n is odd if and only if n2 +2n is odd. Frequently there is a number above the radical, like this: n p x. Rational numbers are numbers which can be expressed as fractions. • The product or quotient of a non-zero rational number and an irrational number is irrational. 2360679 − A real number is any number that is either rational or irrational. This will help them classify numbers they are given, or demonstrate relationships between these types of numbers. 75 is the only positive number in the list. Sample Test Questions Part 1 Rational Numbers 1. Practice Test Questions How to In fact, though, an exponent is just short hand for saying that you’re multiplying a number by itself two or more times. It is a rational number because the product of and results in 5, a rational number. MATH CSE20 Test 3 Review Sheet - SOLUTIONS Test Tuesday November 12 in lecture: CENTER 115, 3:30pm Textbook sections: Unit NT Sections 1 and 2 (1) All questions from Homeworks 5 and 6. A Three-Question Quiz To Test Your Rationality If you avoid the common errors of reasoning that lead large majorities of subjects to do the irrational thing on repeated experiments, you may justly. Work out an estimate for the value of. A) Define and use irrational numbers. In this chapter, you will ﬁnd out the difference between rational and irrational numbers and learn to work with both. At that time, about 80% of Canadians lived in rural areas. Rewrite this decimal as a percent. rational numbers by describing real-world contexts. 5) The produ tof two rational numbers is irrational. y Worksheet by Kuta Software LLC. Here are 10 irrational thoughts that rational people often fall victim to at one point or another: Mistakes are never acceptable. As we have to find 5 rational numbers, we multiply the numbers by 6/6 3/5 = 3/5 × 6/6. rational number synonyms, rational number pronunciation, rational number translation, English dictionary definition of rational number. Work out 342 × 24 (Total for Question is 3 marks) Q2. 3 - Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Here we present an example using Problem 1. 73205080` The decimal has an infinite number of digits and has no digit pattern. The rational numbers are numbers of the form where a is an integer and b a non-zero integer. Key Words: Number sense Fractions Decimals Percents Rational numbers 3. You can always use a calculator to determine whether a number is rational or irrational by looking at its decimal expansion. Economics of Suicide: Rational or Irrational Choice. Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3. Write the fraction as a decimal. 41 essential sql interview questions and answers, in sql server, postgresql, and sqlite, this can be done using the except keyword as follows: select * from test a except select * from test b; in. •WordsTo divide two rational expressions, multiply by the reciprocal of the divisor. (d) A number n is odd if and only if n(n+1) is even (e) At least one of two numbers x and y is irrational if and only if the product xy is irrational. Addition, subtraction, multiplication and division of rational numbers, absolute value, opposites, order of operations, distributive property. Rewrite each fraction as an equivalent fraction with the LCD. Rewrite this fraction as a percent. MATH CSE20 Test 3 Review Sheet - SOLUTIONS Test Tuesday November 12 in lecture: CENTER 115, 3:30pm Textbook sections: Unit NT Sections 1 and 2 (1) All questions from Homeworks 5 and 6. The number (n. The Real Numbers In high school, you explored the real number system. After learning to count numbers, order numbers activities are a useful way to test a students number sense. Here is a list of irrational beliefs often resulting in feelings such as: depression, anxiety, shame, guilt, anger. Using rational numbers, find a segment With a distance of not more than 0. QUESTION BANK FOR MATHEMATICS FOR CLASS X MULTIPLE CHOICE QUESTIONS Rational number (b) irrational number (c) 2 a b (d) 0 4. NCERT CBSE CLASS VIII MATHS TEXTBOOK CHAPTER 01_Rational number. Of all the following axioms and properties for the real numbers, the Distributive Property , The Zero Factor Property , the Transitive Properties , and the Law of Trichotomy are extremely important and are used more than the others in future algebraic work. Ohio Standards Addressed: Number, Number Sense, and Operations Standard Benchmarks (5-7): B. The real numbers are said to be dense. The set of all rational numbers, often referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by a boldface Q (or blackboard bold, Unicode ℚ); it was thus denoted in 1895 by Giuseppe Peano after quoziente, Italian for "quotient". The other zero must be non-real. The Venn diagram shows how real numbers, rational numbers, irrational. Strategy: Determine whether 4. It is a rational number. Estimating the Value of Irrational Numbers A rational number is any number that can be written as a fraction: positive or negative An irrational number is a number that cannot be written as a fraction. Let’s start with multiplication. R Z FAtl Hl3 jrvi 0g OhOt6sK crwegs te or zvVeKde. Rational And Irrational Numbers Quiz Number Line. rational number may be written as a terminating decimal number, like. NCERT CBSE CLASS VIII MATHS TEXTBOOK CHAPTER 01_Rational number. Questions 1 and 2: Find if the numbers in the table below are rational or irrational:. 5 9 ANSWER 0. Search form. B Some integers are whole numbers. Download CAT Quant Questions PDF. Some Typical Number Theoretic Questions The main goal of number theory is to discover interesting and unexpected rela-tionships between different sorts of numbers and to prove that these relationships are true. On her second quiz, she answered 27 out of 30 questions correctly. The definition of rational number relies on the existence of certain representation: a rational number is a number that can be represented as a/b, where a is an integer and b is a nonzero integer. Title: ANSWER KEY FOR UNIT 1 – Rational and Irrational Numbers Author: Adam Staab Created Date: 20120810175311Z. This hands-on activity will strengthen your students' skills in classifying Rational Numbers. The rational numbers are numbers of the form where a is an integer and b a non-zero integer. A decimal may not appear to repeat on a calculator. REAL NUMBERS (Rational and Irrational) - Free download as Powerpoint Presentation (. Name Team Name Team Complete? Team Did Not Agree On Questions… #’s Quick Look Today we defined and explored rational numbers. Question Group #1 Directions and/or Common Information: Classify these sets of terms. Helpful Resources. Some examples of irrational numbers are √ 2,π, √ 6 (radicals will be discussed further in Section 1. Show, using the precise definition of the real numbers that was discussed in class, that there is a real number x such that x3 = 4. RN standards required for all students, including the college and career ready students. RATIONAL AND IRRATIONAL. L8: Solve Problems with Rational Numbers 71. Conversely, irrational numbers are the numbers that cannot be represented as the quotient of two integers, i. Alicia added two rational numbers and arrived at the sum shown. Math Games. •WordsTo divide two rational expressions, multiply by the reciprocal of the divisor. Name Team Name Team Complete? Team Did Not Agree On Questions… #’s Quick Look Today we defined and explored rational numbers. Thus, it is not anirrational number. Strategy: Determine whether 4. Prime Number Properties. 1 Notation and Terminology In the expression p x the p is called the radical sign. Answers to Practice Questions for UNIT 3 – Algebra Basics 22 Answers to Practice Questions for UNIT 4 – First Degree Equations and Inequalities in One Variable 22 Answers to Practice Questions for UNIT 5 – Linear Equations, Inequalities, and Systems of Equations in. In Unit 4, sixth-grade students extend their understanding of numbers to include rational numbers. 5 2 15 8 y 2. How do you classify numbers, as in rational numbers, integers, whole numbers, natural numbers, and irrational numbers? I am mostly stuck on classifying fractions. mathpractices. 135 NOTES ON RATIONAL INEQUALITIES Notes on Rational Inequalities To Solve Rational Inequalities: 1. with all the right answers to all of the interesting questions, and. Use the interactive below to review how to convert among different representations of rational numbers. This video will give you insight into the types of numbers with a great analogy that is easy to remember. The Next-Generation Advanced Algebra and Functions placement test is a computer adaptive assessment of test-takers’ ability for selected mathematics content. 2D, of how this might be accomplished. All Integers are Rational Numbers. )imaginary AND WHY? print Print document PDF. Well, in short--without getting into a debate about what constitutes "rational" thinking--the prefx 'non-' means, doesn't exist, whereas the prefix 'ir-' means, opposite. We learned how rational numbers compare to natural numbers, whole numbers, and integers. √65 is between 6 and 7. This hands-on activity will strengthen your students' skills in classifying Rational Numbers. emathematics. It is optimized to take a print on A4 sheet (Page 1 to 14) or you can simply save on your desktop for future reference. Pre-Calculus Rational Functionator Review for Test: Rational Functions True or False. Now we can divide #21# by #6# using rational numbers and the result, by definition of rational numbers, is #21/6#. Which number is between 17 4 and 20? Select Yes or No. The first primes are: 2, 3, 5, 7, 11, 13, The other positive integers are composite and they have 3 or more factors. For this project I have to create a rational number class that has 2 parts an int numerator and int denominator. rational numbers by describing real-world contexts. Consequently they are properties of Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real Numbers. Q9: Is 1 prime number or. Kids Kindergarten Worksheets Rational Numbers Worksheet Grade With Answers Word Sums Preschool Free Probability And Statistics Test Short For Letter 4th Math Stair Practice Digit Addition. 75 is the only positive number in the list. Caution: Don’t make the Rational Root Test out to be more than it is. Download A Brief Guide for teachers and administrators PDF. Rational and Irrational Numbers (Grade 8). Download ebook 7th Grade Math Rational Numbers Study Guide in pdf / kindle / epub format also. Quiz Rational & Irrational Numbers [50 points] Make sure to show all of your work and use complete sentences when necessary. Irrational Numbers. If the statement is not true, write a correct statement. Irrational Number Euler's Number Rational Numbers games: Ordering Rational Numbers Rational Numbers on the Number Line Classifying Numbers Integers and Real Numbers Practice Test Divide Rational Numbers Quiz Multiply Rational Numbers Quiz Adding and Subtracting Rational Numbers Quiz Rational Numbers Worksheets: Ordering Rational Numbers Worksheets. Predictably Irrational: The Hidden Forces That Shape Our Decisions is a 2008 book by Dan Ariely, in which he challenges readers' assumptions about making decisions based on rational thought. 4 Differentiate between rational and irrational numbers. On her second quiz, she answered 27 out of 30 questions correctly. • All integers and fractions are rational numbers. IN YOUR OWN WORDS How does adding and subtracting rational numbers compare with adding and subtracting integers? Give an example. This is a set of numbers that includes the integers or counting numbers, all the rational numbers (numbers that can be represented as a ratio of two whole numbers, such as 1/3 or 3/7) and the irrational numbers (numbers that cannot be represented as a ratio of two whole numbers, such as π, e, and sqrt(2)). reciprocal: The multiplicative inverse of a number.