{"id":21097,"date":"2025-06-15T07:33:40","date_gmt":"2025-06-15T07:33:40","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21097"},"modified":"2025-06-15T07:33:50","modified_gmt":"2025-06-15T07:33:50","slug":"which-comparison-is-correct","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-comparison-is-correct\/","title":{"rendered":"Which comparison is correct"},"content":{"rendered":"\n<p>Which comparison is correct? A. 0.298 &lt; 0.289 B. 0.420 > 0.42 C. 1.32 &lt; 1.319 D. 3.544 > 3.455<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The correct comparison is <strong>D. 3.544 &gt; 3.455<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Let&#8217;s analyze each option carefully by comparing the numbers digit by digit:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>A. 0.298 &lt; 0.289<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the digits after the decimal point:\n<ul class=\"wp-block-list\">\n<li>0.298 has digits 2, 9, 8.<\/li>\n\n\n\n<li>0.289 has digits 2, 8, 9.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Compare digit by digit:\n<ul class=\"wp-block-list\">\n<li>The first digit after decimal is 2 in both.<\/li>\n\n\n\n<li>The second digit: 9 (in 0.298) vs. 8 (in 0.289). Since 9 > 8, 0.298 > 0.289.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Therefore, <strong>0.298 &lt; 0.289 is false<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>B. 0.420 &gt; 0.42<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.420 and 0.42 are actually the same number because trailing zeros after the decimal point do not change the value.<\/li>\n\n\n\n<li>So, 0.420 = 0.42.<\/li>\n\n\n\n<li>Therefore, <strong>0.420 > 0.42 is false<\/strong> because they are equal.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>C. 1.32 &lt; 1.319<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare digit by digit:\n<ul class=\"wp-block-list\">\n<li>First digit: 1 = 1.<\/li>\n\n\n\n<li>Decimal part: 3 = 3.<\/li>\n\n\n\n<li>Next digit: 2 (in 1.32) vs. 1 (in 1.319). Since 2 > 1, 1.32 > 1.319.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Therefore, <strong>1.32 &lt; 1.319 is false<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>D. 3.544 &gt; 3.455<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare digit by digit:\n<ul class=\"wp-block-list\">\n<li>First digit: 3 = 3.<\/li>\n\n\n\n<li>Decimal part first digit: 5 = 4 (5 > 4), so 3.544 > 3.455.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Therefore, <strong>3.544 > 3.455 is true<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p>The only true statement is <strong>D. 3.544 &gt; 3.455<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Additional Notes:<\/h3>\n\n\n\n<p>When comparing decimals:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Start comparing from the left-most digit (whole number part).<\/li>\n\n\n\n<li>If whole number parts are equal, move digit by digit to the right after the decimal point.<\/li>\n\n\n\n<li>Trailing zeros after the decimal do not affect the value (e.g., 0.42 = 0.420).<\/li>\n\n\n\n<li>Always compare digits in the same place value.<\/li>\n<\/ul>\n\n\n\n<p>Understanding this method helps avoid common mistakes when comparing decimal numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which comparison is correct? A. 0.298 &lt; 0.289 B. 0.420 > 0.42 C. 1.32 &lt; 1.319 D. 3.544 > 3.455 The correct answer and explanation is: The correct comparison is D. 3.544 &gt; 3.455. Explanation: Let&#8217;s analyze each option carefully by comparing the numbers digit by digit: A. 0.298 &lt; 0.289 B. 0.420 &gt; 0.42 [&hellip;]<\/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-21097","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21097","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=21097"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21097\/revisions"}],"predecessor-version":[{"id":21098,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21097\/revisions\/21098"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21097"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21097"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}