{ -4, -3, -2, -1, o, 1, 2, 3, 4, . }4) The Set of Rational NumbersThe set of rational numbers includes all numbers that can be written as a fraction or as a ratio of integers. However, thedenominator cannot be equal to zero.Symbol of the Set of Rational NumbersElements of the Rational Numberswhere a and b are integers but b z0A rational number may also appear in the form of a decimal. If a decimal number is repeating or terminating, it can bewritten as a fraction, therefore, it must be a rational number,Examples of terminating decimals:4560.456 =57120.123100251,000 125Examples of repeating decimals:10.142857 =770.63 =110.35) The Set of Irrational Numbers (Q') read as Q primeThe set of irrational numbers can be described in many ways. These are the common ones.a) Irrational numbers are numbers that cannot be written as a ratio of two integers. This description is exactly theopposite that of the rational numbers.b) Irrational numbers are the leftover numbers after all rational numbers are removed from the set of the real numbers.You may think of it asirrational numbers = real numbers "minus" rational numbersc) Irrational numbers if written in decimal forms don't terminate and don't repeat.There's really no standard symbol to represent the set of irrational numbers. But you may encounter the one below.APPLICATIONRead and understand the problems below and answer the given questions.1. Field tripAll the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children,teachers, and chaperones, there will be 147 people. Each bus holds 44 people.a. How many buses will be needed?b. Why must the answer be a whole number?2. Child careSerena wants to open a licensed child care center. Her state requires that there be no more than 12 children for eachteacher. She would like her child care center to serve 40 children.a. How many teachers will be needed?b. Why must the answer be a whole number?ASSESSMENTA. Multiple Choice: Choose (by circling) the best answer! 2 questions have multiple answers!1) Which statement is NOT true about Rational Numbers?a. Whole Numbers are Rational Numbersb, Only fractions are Rational NumbersCntegers, Whole Numbers, and Natural numbers are Rational Numbersd. Repeating decimals and terminating decimals are Rational Numbers-Which statement is TRUE?JAll Integers are Rational Numbers..A number can be both Rational and Irrational.c. Every Integer is a whole number.d. All Real Numbers are Rational|Which of the following statements is FALSE?a)All Natural Numbers are integers.All Rational Numbers are Integers.c. Irrational Numbers contain all decimals.d. Fractions are Rational Numbers.4) Which below represents a rational number?a. 24b. 20C25d./37

Question

{ -4, -3, -2, -1, o, 1, 2, 3, 4, . }4) The Set of Rational NumbersThe set of rational numbers includes all numbers that can be written as a fraction or as a ratio of integers. However, thedenominator cannot be equal to zero.Symbol of the Set of Rational NumbersElements of the Rational Numberswhere a and b are integers but b z0A rational number may also appear in the form of a decimal. If a decimal number is repeating or terminating, it can bewritten as a fraction, therefore, it must be a rational number,Examples of terminating decimals:4560.456 =57120.123100251,000 125Examples of repeating decimals:10.142857 =770.63 =110.35) The Set of Irrational Numbers (Q') read as Q primeThe set of irrational numbers can be described in many ways. These are the common ones.a) Irrational numbers are numbers that cannot be written as a ratio of two integers. This description is exactly theopposite that of the rational numbers.b) Irrational numbers are the leftover numbers after all rational numbers are removed from the set of the real numbers.You may think of it asirrational numbers = real numbers &#34;minus&#34; rational numbersc) Irrational numbers if written in decimal forms don't terminate and don't repeat.There's really no standard symbol to represent the set of irrational numbers. But you may encounter the one below.APPLICATIONRead and understand the problems below and answer the given questions.1. Field tripAll the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children,teachers, and chaperones, there will be 147 people. Each bus holds 44 people.a. How many buses will be needed?b. Why must the answer be a whole number?2. Child careSerena wants to open a licensed child care center. Her state requires that there be no more than 12 children for eachteacher. She would like her child care center to serve 40 children.a. How many teachers will be needed?b. Why must the answer be a whole number?ASSESSMENTA. Multiple Choice: Choose (by circling) the best answer! 2 questions have multiple answers!1) Which statement is NOT true about Rational Numbers?a. Whole Numbers are Rational Numbersb, Only fractions are Rational NumbersCntegers, Whole Numbers, and Natural numbers are Rational Numbersd. Repeating decimals and terminating decimals are Rational Numbers-Which statement is TRUE?JAll Integers are Rational Numbers..A number can be both Rational and Irrational.c. Every Integer is a whole number.d. All Real Numbers are Rational|Which of the following statements is FALSE?a)All Natural Numbers are integers.All Rational Numbers are Integers.c. Irrational Numbers contain all decimals.d. Fractions are Rational Numbers.4) Which below represents a rational number?a. 24b. 20C25d./37

Accepted Answer

Here first we should know following definitions-
Rational numbers- Numbers which can be written in…