Homework Help is Here – Start Your Trial Now!
Math
Algebra
1) Which statement is NOT true about Rational Numbers? a. Whole Numbers are Rational Numbers b Only fractions are Rational Numbers integers, Whole Numbers, and Natural numbers are Rational Numbers d. Repeating decimals and terminating decimals are Rational Numbers Which statement is TRUE? aJAll 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? All Natural Numbers are integers. All Rational Numbers are Integers. c. Irrational Numbers contain all decimals. d. Fractions are Rational Numbers.

1) Which statement is NOT true about Rational Numbers? a. Whole Numbers are Rational Numbers b Only fractions are Rational Numbers integers, Whole Numbers, and Natural numbers are Rational Numbers d. Repeating decimals and terminating decimals are Rational Numbers Which statement is TRUE? aJAll 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? All Natural Numbers are integers. All Rational Numbers are Integers. c. Irrational Numbers contain all decimals. d. Fractions are Rational Numbers.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
{ -4, -3, -2, -1, o, 1, 2, 3, 4, . } 4) The Set of Rational Numbers The set of rational numbers includes all numbers that can be written as a fraction or as a ratio of integers. However, the denominator cannot be equal to zero. Symbol of the Set of Rational Numbers Elements of the Rational Numbers where a and b are integers but b z0 A rational number may also appear in the form of a decimal. If a decimal number is repeating or terminating, it can be written as a fraction, therefore, it must be a rational number, Examples of terminating decimals: 456 0.456 = 57 12 0.12 3 100 25 1,000 125 Examples of repeating decimals: 1 0.142857 = 7 7 0.63 = 11 0.3 5) The Set of Irrational Numbers (Q') read as Q prime The 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 the opposite 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 as irrational numbers = real numbers "minus" rational numbers c) 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. APPLICATION Read and understand the problems below and answer the given questions. 1. Field trip All 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 care Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. 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? ASSESSMENT A. 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 Numbers b, Only fractions are Rational Numbers Cntegers, Whole Numbers, and Natural numbers are Rational Numbers d. 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. 24 b. 20 C25 d./37
Transcribed Image Text:{ -4, -3, -2, -1, o, 1, 2, 3, 4, . } 4) The Set of Rational Numbers The set of rational numbers includes all numbers that can be written as a fraction or as a ratio of integers. However, the denominator cannot be equal to zero. Symbol of the Set of Rational Numbers Elements of the Rational Numbers where a and b are integers but b z0 A rational number may also appear in the form of a decimal. If a decimal number is repeating or terminating, it can be written as a fraction, therefore, it must be a rational number, Examples of terminating decimals: 456 0.456 = 57 12 0.12 3 100 25 1,000 125 Examples of repeating decimals: 1 0.142857 = 7 7 0.63 = 11 0.3 5) The Set of Irrational Numbers (Q') read as Q prime The 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 the opposite 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 as irrational numbers = real numbers "minus" rational numbers c) 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. APPLICATION Read and understand the problems below and answer the given questions. 1. Field trip All 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 care Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. 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? ASSESSMENT A. 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 Numbers b, Only fractions are Rational Numbers Cntegers, Whole Numbers, and Natural numbers are Rational Numbers d. 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. 24 b. 20 C25 d./37
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Sets
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS