{"id":312252,"date":"2022-11-06T18:03:01","date_gmt":"2022-11-06T12:33:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/error-arithmetic-operations-significant-figures\/"},"modified":"2022-12-30T16:37:19","modified_gmt":"2022-12-30T11:07:19","slug":"error-arithmetic-operations-significant-figures","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/","title":{"rendered":"Error Arithmetic Operations Significant Figures"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#error_arithmetic_operations_significant_figures\" title=\"error arithmetic operations significant figures\">error arithmetic operations significant figures<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#What_Are_Significant_Figures\" title=\"What Are Significant Figures?\">What Are Significant Figures?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#What_Do_You_Understand_by_Significant_Figures\" title=\"What Do You Understand by Significant Figures?\">What Do You Understand by Significant Figures?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#Rules_for_Arithmetic_Operation_of_Significant_Figures\" title=\"Rules for Arithmetic Operation of Significant Figures\">Rules for Arithmetic Operation of Significant Figures<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#Error_Arithmetic_Operations_of_Significant_Figures\" title=\"Error Arithmetic Operations of Significant Figures\">Error Arithmetic Operations of Significant Figures<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"error_arithmetic_operations_significant_figures\"><\/span>error arithmetic operations significant figures<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Significant figures are the digits in a number that are known with certainty plus the first digit that is uncertain. This concept is often used in scientific and mathematical calculations as a way to express the level of precision or certainty of a value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Are_Significant_Figures\"><\/span>What Are Significant Figures?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Significant figures are the digits in a number that are meaningful in terms of the accuracy or precision of the number. The number of significant figures in a number is determined by the position of the first non-zero digit in the number. For example, the number 12 has two significant figures, while the number 0.012 has three significant figures.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Do_You_Understand_by_Significant_Figures\"><\/span>What Do You Understand by Significant Figures?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Significant figures are the digits in a number that are known with certainty. The first digit after the decimal point is always significant. The last digit is significant if it is not zero. The other digits are significant if they are not zeros and if they are not between two other significant digits.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rules_for_Arithmetic_Operation_of_Significant_Figures\"><\/span>Rules for Arithmetic Operation of Significant Figures<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>For addition and subtraction, the result should be rounded off to the least number of decimal places present in any of the original numbers.<\/p>\n<p>For multiplication and division, the result should be rounded off to the least number of significant figures present in any of the original numbers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Error_Arithmetic_Operations_of_Significant_Figures\"><\/span>Error Arithmetic Operations of Significant Figures<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>&#8220;, &#8220;It is wrong to add numbers of different precision.<\/p>\n<p>You have tried to add or subtract a number with a large number of significant figures while the other number has only a few figures.<\/p>\n<p>&#8220;);<br \/>\n}<br \/>\nelse {<br \/>\nif (num1.getPrecision() &gt; num2.getPrecision()) {<br \/>\nreturn new BigDecimal(num1.getValue() + num2.getValue() \/ Math.pow(10, num2.getPrecision())).setScale(num1.getPrecision(), RoundingMode.HALF_UP);<br \/>\n}<br \/>\nelse {<br \/>\nreturn new BigDecimal(num2.getValue() + num1.getValue() \/ Math.pow(10, num1.getPrecision())).setScale(num2.getPrecision(), RoundingMode.HALF_UP);<br \/>\n}<br \/>\n}<br \/>\n}<\/p>\n<p>public static RealNum subtract(RealNum num1, RealNum num2) throws ArithmeticException {<br \/>\nif (num1.getPrecision() != num2.getPrecision()) {<br \/>\nthrow new ArithmeticException(&#8220;Error Arithmetic Operations of Significant Figures&#8221;, &#8220;It is wrong to add numbers of different precision.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>error arithmetic operations significant figures Significant figures are the digits in a number that are known with certainty plus the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"error arithmetic operations significant figures","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"error arithmetic operations significant figures","custom_permalink":"physics\/error-arithmetic-operations-significant-figures\/"},"categories":[4],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Error Arithmetic Operations Significant Figures - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"error arithmetic operations significant figures\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Error Arithmetic Operations Significant Figures - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"error arithmetic operations significant figures\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-11-06T12:33:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-30T11:07:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Error Arithmetic Operations Significant Figures - Infinity Learn by Sri Chaitanya","description":"error arithmetic operations significant figures","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/","og_locale":"en_US","og_type":"article","og_title":"Error Arithmetic Operations Significant Figures - Infinity Learn by Sri Chaitanya","og_description":"error arithmetic operations significant figures","og_url":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-11-06T12:33:01+00:00","article_modified_time":"2022-12-30T11:07:19+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/","name":"Error Arithmetic Operations Significant Figures - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-11-06T12:33:01+00:00","dateModified":"2022-12-30T11:07:19+00:00","description":"error arithmetic operations significant figures","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Error Arithmetic Operations Significant Figures"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Error Arithmetic Operations Significant Figures","datePublished":"2022-11-06T12:33:01+00:00","dateModified":"2022-12-30T11:07:19+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/physics\/error-arithmetic-operations-significant-figures\/#webpage"},"wordCount":345,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"articleSection":["Physics"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/312252"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=312252"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/312252\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=312252"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=312252"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=312252"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=312252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}