{"id":6298,"date":"2013-08-28T14:09:10","date_gmt":"2013-08-28T14:09:10","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=6298"},"modified":"2014-12-02T08:26:58","modified_gmt":"2014-12-02T08:26:58","slug":"math-review-of-rational-numbers","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/math-review-of-rational-numbers\/","title":{"rendered":"Math Review of Rational Numbers"},"content":{"rendered":"

Overview:\u00a0 What Are Rational Numbers?<\/strong>
\nRational numbers are numbers that can be expressed as a fraction, a\/b, when b is not equal to zero.\u00a0 Both a and b are integers, and rational numbers can be either positive or negative.\u00a0 Rational numbers can take part in mathematical operations of addition, subtraction, multiplication, and division.<\/p>\n

What Are Some Types of Rational Numbers?<\/strong>
\nTypes of rational numbers include decimals, percentages, fractions, and ratios.\u00a0 For example, .75, 75%, 3\/4, and 3:4, all represent the same relationship.\u00a0 The decimal .75 stands for 75\/100, which is the same as 75%.\u00a0 A fraction such as 75\/100 can be reduced to simplest terms by dividing by 25\/25.\u00a0 The fraction 25\/25 itself (which means the same thing as 1) is also a rational number.\u00a0 Rational numbers also include the integers, which can be represented as fractions such as 2\/1, 3\/1, and so on.<\/p>\n

What Are Terminating \u00a0Decimals?<\/strong>
\nMany rational numbers can be written as decimals that have a finite number of decimal places.\u00a0 The fraction 1\/8 can be written in decimal form as .125,\u00a0 3\/8 in decimal form as .375, and 5\/8 as .625.\u00a0 This is in addition to decimals such as .75 for 3\/4 or .5 for 1\/2. \u00a0\u00a0If .75 were carried to 3 decimal places it would be .750, or 750\/1000 in fractional form.\u00a0 Similarly, .5 to 2 decimal places would be .50, or 50\/100.<\/p>\n

What Are Repeating Decimals?<\/strong>
\nOther rational numbers can be written as repeating decimals with an infinite number of decimal places.\u00a0 For example, the fraction 1\/3 can be written as the decimal .33…,which repeats an infinite number of times.\u00a0 If the decimal were .33 and terminated, it would equal 33\/100, which is not the same thing.\u00a0 Similarly, the fraction 1\/11 is .090909…, in decimal form, which is not the same thing as the terminating .09, equal to 9\/100.<\/p>\n

What Does the Density of Rational Numbers Mean?<\/strong>
\nBetween any two rational numbers on the number line, there is always another rational number, referred to as the density of rational numbers.\u00a0 The number 2 is a rational number that can represented by 2\/1 , and the number 3 is a rational number, represented by 3\/1,\u00a0 Between the 2 and the 3 is 2 1\/2, between the 2 and the 2 1\/2 is 2 1\/4, between 2 and 2 1\/4 is 2 1\/8, and so on.\u00a0 The series never ends.<\/p>\n

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Overview:\u00a0 What Are Rational Numbers? Rational numbers are numbers that can be expressed as a fraction, a\/b, when b is not equal to zero.\u00a0 Both a and b are integers, and rational numbers can be either positive or negative.\u00a0 Rational numbers can take part in mathematical operations of addition, subtraction, multiplication, and division. What Are […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[11],"tags":[1219,1485,1530,1823],"class_list":["post-6298","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","tag-number-line","tag-rational-numbers","tag-repeating-decimals","tag-terminating-decimals"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=6298"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6298\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=6298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=6298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=6298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}