{"id":227358,"date":"2025-06-06T05:18:14","date_gmt":"2025-06-06T05:18:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227358"},"modified":"2025-06-06T05:18:16","modified_gmt":"2025-06-06T05:18:16","slug":"what-is-100000-times-1-100000-using-the-standard-method-of-multiplication","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/what-is-100000-times-1-100000-using-the-standard-method-of-multiplication\/","title":{"rendered":"What is 100,000 times 1\/100,000, using the standard method of multiplication"},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">What is 100,000 times 1\/100,000, using the standard method of multiplication? Write the answer as 10 to a power.<\/pre>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>100,000\u00d71100,000=1=100100,000 \\times \\frac{1}{100,000} = 1 = 10^0100,000\u00d7100,0001\u200b=1=100<\/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>To solve the expression 100,000\u00d71100,000100{,}000 \\times \\frac{1}{100{,}000}100,000\u00d7100,0001\u200b using the <strong>standard method of multiplication<\/strong>, we treat both numbers as powers of 10 and apply the rules of exponents.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Express the Numbers as Powers of 10<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>100,000100{,}000100,000 is a power of 10. Since 100,000=105100{,}000 = 10^5100,000=105<\/li>\n\n\n\n<li>1100,000\\frac{1}{100{,}000}100,0001\u200b is the reciprocal of 10510^5105, which equals 1100,000=10\u22125\\frac{1}{100{,}000} = 10^{-5}100,0001\u200b=10\u22125<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Multiply Using the Law of Exponents<\/h4>\n\n\n\n<p>Using the rule:10a\u00d710b=10a+b10^a \\times 10^b = 10^{a + b}10a\u00d710b=10a+b<\/p>\n\n\n\n<p>Apply this to the current expression:105\u00d710\u22125=105+(\u22125)=10010^5 \\times 10^{-5} = 10^{5 + (-5)} = 10^0105\u00d710\u22125=105+(\u22125)=100<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Interpret the Result<\/h4>\n\n\n\n<p>100=110^0 = 1100=1<\/p>\n\n\n\n<p>This is a fundamental rule in mathematics: <strong>Any nonzero number raised to the power of 0 equals 1.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Works:<\/h3>\n\n\n\n<p>Multiplying a number by its reciprocal (or multiplicative inverse) always results in 1. Here, 100,000100{,}000100,000 and 1100,000\\frac{1}{100{,}000}100,0001\u200b are multiplicative inverses:100,000\u00d71100,000=1100{,}000 \\times \\frac{1}{100{,}000} = 1100,000\u00d7100,0001\u200b=1<\/p>\n\n\n\n<p>When we express the numbers as powers of 10, we use exponent rules to simplify the calculation. This method avoids large number manipulation and shows a deeper understanding of the structure of numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The product of 100,000\u00d71100,000100{,}000 \\times \\frac{1}{100{,}000}100,000\u00d7100,0001\u200b is <strong>1<\/strong>, which is equal to 100\\boxed{10^0}100\u200b. This demonstrates how exponent rules simplify otherwise large or complex calculations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-65.jpeg\" alt=\"\" class=\"wp-image-227359\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is 100,000 times 1\/100,000, using the standard method of multiplication? Write the answer as 10 to a power. The Correct Answer and Explanation is: Answer: 100,000\u00d71100,000=1=100100,000 \\times \\frac{1}{100,000} = 1 = 10^0100,000\u00d7100,0001\u200b=1=100 Explanation To solve the expression 100,000\u00d71100,000100{,}000 \\times \\frac{1}{100{,}000}100,000\u00d7100,0001\u200b using the standard method of multiplication, we treat both numbers as powers of 10 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-227358","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227358","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=227358"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227358\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}