Let’s evaluate each of the given statements one by one:<\/p>\n\n\n\n
a) The rational number 17\/5 lies to the left of zero on the number line.<\/strong> b) The rational number -7\/5 lies to the left of zero on the number line.<\/strong> c) The rational number -17\/5 lies to the right of zero on the number line.<\/strong> d) The rational numbers -17\/5 and 7\/-5 lie to the right of zero on the number line.<\/strong> e) The rational numbers -17\/5 and 17\/-5 lie on opposite sides of zero on the number line.<\/strong> Conclusion:<\/strong> State whether the following statements are true or false. Give reasons in support of your answer: a) The rational number 17\/5 lies to the left of zero on the number line. b) The rational number -7\/5 lies to the left of zero on the number line. c) The rational number -17\/5 lies to the right […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27726","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27726","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27726"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27726\/revisions"}],"predecessor-version":[{"id":27728,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27726\/revisions\/27728"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
False.<\/strong>
Reason:<\/strong> 17\/5 is a positive rational number, and all positive numbers are located to the right of zero on the number line. Since 17 divided by 5 equals 3.4, which is greater than zero, it lies to the right of zero.<\/p>\n\n\n\n
True.<\/strong>
Reason:<\/strong> -7\/5 is a negative rational number, and all negative numbers lie to the left of zero on the number line. Since -7 divided by 5 equals -1.4, it is less than zero.<\/p>\n\n\n\n
False.<\/strong>
Reason:<\/strong> -17\/5 is a negative rational number. Any number with a negative sign lies to the left of zero. Since -17 divided by 5 is -3.4, it is clearly on the left side of zero.<\/p>\n\n\n\n
False.<\/strong>
Reason:<\/strong> Both -17\/5 and 7\/-5 are negative rational numbers. The expression 7\/-5 is equivalent to -7\/5. Since both numbers are negative, they lie to the left of zero, not the right.<\/p>\n\n\n\n
False.<\/strong>
Reason:<\/strong> Both -17\/5 and 17\/-5 represent the same number. The negative sign can be placed on the numerator or the denominator without changing the value. Both are equal to -3.4. Since they are equal, they lie on the same side of zero.<\/p>\n\n\n\n
Only statement b<\/strong> is true. The rest of the statements are false because they misinterpret the signs and locations of rational numbers on the number line. A rational number\u2019s sign determines which side of zero it lies on.<\/p>\n\n\n\n![\"\"](\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-174.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"