a) There are a few different types of numbers. Select and explain in your own words,...

  

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a) There are a few different types of numbers. Select and explain in your own words, three of them. Provide two (2) examples of each different type of number. *Answers taken directly from the module will not be accepted. (6) b) State whether each of the following is a set of integers or a set of rational numbers and provide your reasoning: i. The number of people who canceled their dentist appointments. ii. The measure of the distance between two points on a map. (2) c) Calculate the following and write the answer in standard form: 1400000.00008 (2) 0.1530000 d) Express the interval (-3.5, 2] as an inequality and then graph the interval. (2) a) There are a few different types of numbers. Select and explain in your own words, three of them. Provide two (2) examples of each different type of number. *Answers taken directly from the module will not be accepted. (6) b) State whether each of the following is a set of integers or a set of rational numbers and provide your reasoning: i. The number of people who canceled their dentist appointments. ii. The measure of the distance between two points on a map. (2) c) Calculate the following and write the answer in standard form: 1400000.00008 (2) 0.1530000 d) Express the interval (-3.5, 2] as an inequality and then graph the interval. (2)

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Different Types of Numbers Here are three types of numbers explained in simple terms along with two examples each Natural Numbers Counting Numbers These are whole numbers used for counting positive whole things They start from 1 and go on infinitely Examples 1 2 3 4 5 6 7 8 9 10 We wouldnt use natural numbers for things like negative quantities or fractions Whole Numbers These include natural numbers and zero 0 They represent whole quantities with no fractional parts Examples 0 1 2 3 4 5 6 7 8 9 10 We wouldnt use whole numbers for things like distances that can have decimals or negative values Rational Numbers These numbers can be expressed as a fraction where both the numerator top number and the denominator bottom number are integers whole numbers They include fractions positive and negative integers and decimals that can be represented as fractions Examples 12 3 5 725 103 which is also equal to 333 Numbers like pi 314159 or square root of 2 approximately 1414 are not rational numbers because their decimal representation never ends or repeats in a predictable pattern Sets of Integers vs Rational Numbers b Heres whether each set is integers or rational numbers i The number of people who canceled their dentist appointments This would be a set of whole numbers not integers While zero cancellations is a possibility 0 the number of cancellations cant be negative So it fits the definition of whole numbers but not integers which include negative whole numbers ii The measure of the distance between two points on a map This would be a set of rational numbers The ... View the full answer