Chapter 1Introductory Information and ReviewSection 1.1: NumbersTypes of NumbersOrder on a Number LineState whether each of the following numbers is prime, composite, or neither. If composite, then list all the factors of the number.Section 1.2: IntegersOperations with IntegersEvaluate the following.Section 1.3: FractionsGreatest Common Divisor and Least Common MultipleAddition and Subtraction of FractionsMultiplication and Division of FractionsFor each of the following groups of numbers,Section 1.4: Exponents and RadicalsEvaluating Exponential ExpressionsSquare RootsWrite each of the following products instead as a base and exponent. (For example, )Section 1.5: Order of OperationsEvaluating Expressions Using the Order of OperationsAnswer the following.Section 1.6: Solving Linear EquationsLinear EquationsSolve the following equations algebraically.Section 1.7: Interval Notation and Linear InequalitiesLinear InequalitiesFor each of the following inequalities:Section 1.8: Absolute Value and EquationsAbsolute ValueSolve the following equations.SECTION 1.1 NumbersChapter 1 Introductory Information and ReviewSection 1.1: Numbers Types of Numbers Order on a Number LineTypes of Numbers Natural Numbers: MATH 1300 Fundamentals of Mathematics1CHAPTER 1 Introductory Information and ReviewExample: Solution: Even/Odd Natural Numbers: University of Houston Department of Mathematics2SECTION 1.1 NumbersWhole Numbers: Example: Solution: Integers: MATH 1300 Fundamentals of Mathematics3CHAPTER 1 Introductory Information and ReviewExample: Solution: Even/Odd Integers: Example: Solution: University of Houston Department of Mathematics4SECTION 1.1 NumbersRational Numbers: Example: Solution: MATH 1300 Fundamentals of Mathematics5CHAPTER 1 Introductory Information and ReviewIrrational Numbers: University of Houston Department of Mathematics6SECTION 1.1 NumbersReal Numbers: Example: Solution: MATH 1300 Fundamentals of Mathematics7CHAPTER 1 Introductory Information and ReviewAdditional Example 1: Solution: University of Houston Department of Mathematics8SECTION 1.1 NumbersAdditional Example 2: Solution: Natural Numbers: Whole Numbers: Integers: Prime/Composite Numbers: Positive/Negative Numbers: MATH 1300 Fundamentals of Mathematics9CHAPTER 1 Introductory Information and ReviewEven/Odd Numbers: Rational Numbers: University of Houston Department of Mathematics10SECTION 1.1 NumbersAdditional Example 3: Solution: Natural Numbers: Whole Numbers: MATH 1300 Fundamentals of Mathematics11CHAPTER 1 Introductory Information and ReviewIntegers: Prime/Composite Numbers: Positive/Negative Numbers: Even/Odd Numbers: Rational Numbers: University of Houston Department of Mathematics12SECTION 1.1 NumbersAdditional Example 4: Solution: MATH 1300 Fundamentals of Mathematics13CHAPTER 1 Introductory Information and ReviewUniversity of Houston Department of Mathematics14SECTION 1.1 NumbersMATH 1300 Fundamentals of Mathematics15CHAPTER 1 Introductory Information and ReviewOrder on a Number Line The Real Number Line: Example: Solution: University of Houston Department of Mathematics16SECTION 1.1 NumbersInequality Symbols: The following table describes additional inequality symbols. Example: Solution: MATH 1300 Fundamentals of Mathematics17CHAPTER 1 Introductory Information and ReviewExample: Solution: Example: Solution: Additional Example 1: Solution: University of Houston Department of Mathematics18SECTION 1.1 NumbersAdditional Example 2: Solution: MATH 1300 Fundamentals of Mathematics19CHAPTER 1 Introductory Information and ReviewAdditional Example 3: Solution: University of Houston Department of Mathematics20SECTION 1.1 NumbersAdditional Example 4: Solution: MATH 1300 Fundamentals of Mathematics21CHAPTER 1 Introductory Information and ReviewUniversity of Houston Department of Mathematics22Exercise Set 1.1: NumbersState whether each of the following numbers is prime, composite, or neither. If composite, then list all the factors of the number.1. (a) 8 (b) 5 (c) 1(d)7-(e) 122. (a) 11 (b)6-(c) 15(d) 0 (e)2-Answer the following.3. In (a)-(e), use long division to change the following fractions to decimals. (a)19(b)29(c)39(d)49(e)59Note: 319 3=Notice the pattern above and use it as a shortcut in (f)-(m) to write the following fractions as decimals without performing long division.(f)69(g)79(h)89(i)99(j)109(k)149(l)259(m)299Note: 629 3=4. Use the patterns from the problem above to change each of the following decimals to either aproper fraction or a mixed number.(a)0.4(b)0.7(c)2.3(d)1.2(e)4.5(f)7.6State whether each of the following numbers is rational or irrational. If rational, then write the number as a ratio of two integers. (If the number is already written as a ratio of two integers, simply rewrite the number.)5. (a) 0.7 (b)5(c)37(d)5-(e)16(f)0.3(g) 12 (h)2.33.5(i)e(j)4-(k)0.04004000400004...6. (a)p(b)0.6(c)8(d)1.34.7(e)45-(f)9-(g) 3.1 (h)10-(i) 0(j)79(k) 0.03003000300003…Circle all of the words that can be used to describe each of the numbers below.7.9-Even Odd Positive NegativePrime Composite Natural WholeInteger Rational Irrational RealUndefined8.0.7Even Odd Positive NegativePrime Composite Natural WholeInteger Rational Irrational RealUndefined9.2Even Odd Positive NegativePrime Composite Natural WholeInteger Rational Irrational RealUndefined10.47-Even Odd Positive NegativePrime Composite Natural WholeInteger Rational Irrational RealUndefinedAnswer the following.11. Which elements of the set{ }1548, 2.1, 0.4, 0, 7, , , 5, 12p- - - belongto each category listed below?(a) Even (b) Odd(c) Positive (d) Negative(e) Prime (f) Composite(g) Natural (h) Whole(i) Integer (j) Real(k) Rational (l) Irrational(m) UndefinedMATH 1300 Fundamentals of Mathematics23Exercise Set 1.1: Numbers12. Which elements of the set{ }324 56.25, 4 , 3, 5, 1, , 1, 2, 10- - - - - belong to each category listed below?(a) Even (b) Odd(c) Positive (d) Negative(e) Prime (f) Composite(g) Natural (h) Whole(i) Integer (j) Real(k) Rational (l) Irrational(m) UndefinedFill in each of the following tables. Use “Y” for yes if the row name applies to the number or “N” for no if it does not.13.25013510 5513.3UndefinedNaturalWholeIntegerRationalIrrationalPrimeCompositeReal14.2.36005=22279 3=UndefinedNaturalWholeIntegerRationalIrrationalPrimeCompositeRealAnswer the following. If no such number exists, state “Does not exist.”15. Find a number that is both prime and even.16. Find a rational number that