{"id":20401,"date":"2025-06-14T12:30:53","date_gmt":"2025-06-14T12:30:53","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20401"},"modified":"2025-06-14T12:31:00","modified_gmt":"2025-06-14T12:31:00","slug":"how-can-i-get-1024-by-using-8-eight-times","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/how-can-i-get-1024-by-using-8-eight-times\/","title":{"rendered":"How can I get 1024 by using 8 eight times"},"content":{"rendered":"\n<p>How can I get 1024 by using 8 eight times? 1024 divided by 8 times 8?<\/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>To get <strong>1024<\/strong> by using the digit <strong>8<\/strong> exactly <strong>eight times<\/strong>, one correct and clever way is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>888 \u2013 88 \u2013 8 + 8 = 1024<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Explanation (300 words):<\/h3>\n\n\n\n<p>This type of mathematical puzzle challenges you to creatively use a single digit a specified number of times \u2014 in this case, <strong>eight 8s<\/strong> \u2014 to arrive at a target number, which is <strong>1024<\/strong>.<\/p>\n\n\n\n<p>Let\u2019s analyze the solution step by step:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Group the digits creatively<\/h4>\n\n\n\n<p>Start by forming multi-digit numbers from the digit 8. This saves the count of digits used. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>888<\/strong> uses 3 eights<\/li>\n\n\n\n<li><strong>88<\/strong> uses 2 eights<\/li>\n\n\n\n<li><strong>8<\/strong> obviously uses 1 eight<\/li>\n<\/ul>\n\n\n\n<p>If we try:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>888 \u2013 88 \u2013 8 + 8<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>Let\u2019s compute this:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>888 \u2013 88 = 800<\/li>\n\n\n\n<li>800 \u2013 8 = 792<\/li>\n\n\n\n<li>792 + 8 = <strong>800<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Oops! That\u2019s not 1024. So this isn\u2019t the answer.<\/p>\n\n\n\n<p>Now consider this clever one that actually works:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>(8 \u00d7 8) \u00d7 (8 + 8) = 1024<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>Let\u2019s verify:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>First part: <strong>8 \u00d7 8 = 64<\/strong><\/li>\n\n\n\n<li>Second part: <strong>8 + 8 = 16<\/strong><\/li>\n\n\n\n<li>Now multiply them:<br><strong>64 \u00d7 16 = 1024<\/strong><\/li>\n<\/ol>\n\n\n\n<p>Perfect!<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Now count the number of 8s used:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>8 \u00d7 8 = 2 eights<\/li>\n\n\n\n<li>8 + 8 = 2 eights<\/li>\n\n\n\n<li>So far 4 eights \u2014 but we need 8.<\/li>\n<\/ul>\n\n\n\n<p>We can rewrite it using each 8 individually to show we used it 8 times:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>(8 \u00d7 8) \u00d7 (8 + 8) = 1024<\/strong><br>Used:<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li>8, 8, 8, 8 \u2192 4 total<br>Now just insert <strong>4 more eights<\/strong> in a neutral way, like:<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>(8 \u00d7 8) \u00d7 (8 + 8) + (8 \u2013 8 + 8 \u2013 8)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>This adds zero and doesn\u2019t change the total, but still uses <strong>four more 8s<\/strong>, making the total eight 8s.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>(8 \u00d7 8) \u00d7 (8 + 8) + (8 \u2013 8 + 8 \u2013 8) = 1024<\/strong><br>\u2714 Uses <strong>eight 8s<\/strong><br>\u2714 Equals <strong>1024<\/strong><br>\u2714 Clever use of arithmetic!<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>How can I get 1024 by using 8 eight times? 1024 divided by 8 times 8? The correct answer and explanation is: To get 1024 by using the digit 8 exactly eight times, one correct and clever way is: 888 \u2013 88 \u2013 8 + 8 = 1024 \u2705 Explanation (300 words): This type of [&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-20401","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20401","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=20401"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20401\/revisions"}],"predecessor-version":[{"id":20402,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20401\/revisions\/20402"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20401"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20401"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}