{"id":33633,"date":"2025-06-23T10:01:27","date_gmt":"2025-06-23T10:01:27","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=33633"},"modified":"2025-06-23T10:01:29","modified_gmt":"2025-06-23T10:01:29","slug":"using-powers-of-10-which-would-be-the-best-choice-for-the-first-number-to-subtract-in-the-division-problem-742-divided-by-61","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/using-powers-of-10-which-would-be-the-best-choice-for-the-first-number-to-subtract-in-the-division-problem-742-divided-by-61\/","title":{"rendered":"using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61"},"content":{"rendered":"\n<p>using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve <strong>742 \u00f7 61<\/strong> using powers of 10, the best choice for the <strong>first number to subtract<\/strong> is <strong>610<\/strong>, which is <strong>61 \u00d7 10<\/strong>.<\/p>\n\n\n\n<p>This method is known as <strong>partial quotients division<\/strong>, and it breaks down a division problem into easier steps using multiples of the divisor.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Recognize that <strong>61 \u00d7 10 = 610<\/strong> is a close, manageable multiple of 61 that is still less than 742.<\/li>\n\n\n\n<li>Subtract 610 from 742: 742\u2212610=132742 &#8211; 610 = 132742\u2212610=132<\/li>\n\n\n\n<li>Now divide what&#8217;s left, 132, by 61. The largest multiple of 61 less than or equal to 132 is <strong>122<\/strong>, which is <strong>61 \u00d7 2<\/strong>.<\/li>\n\n\n\n<li>Subtract again: 132\u2212122=10132 &#8211; 122 = 10132\u2212122=10<\/li>\n\n\n\n<li>Now we\u2019re left with 10, which is smaller than 61. This means it\u2019s the <strong>remainder<\/strong>.<\/li>\n\n\n\n<li>Add the partial quotients: 10 (from step 1) plus 2 (from step 3) equals <strong>12<\/strong>, with a <strong>remainder of 10<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>742 \u00f7 61 = 12 remainder 10<\/strong>, or <strong>12 R10<\/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>When using powers of 10 in division, especially in mental math or estimation, we look for large chunks that are easy to subtract and still efficient. Since 61 is the divisor, starting with 61 \u00d7 10 is a smart move because it gets us close to the dividend, 742, without overshooting it.<\/p>\n\n\n\n<p>Trying a larger multiple like 61 \u00d7 20 = 1220 would overshoot 742, and 61 \u00d7 5 = 305 would work but not take as much out of the dividend initially. By using the biggest multiple possible without exceeding 742, we reduce the number of steps needed.<\/p>\n\n\n\n<p>This strategy makes the division easier, especially when teaching or doing long division without a calculator.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-534.jpeg\" alt=\"\" class=\"wp-image-33640\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-534.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-534-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-534-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61 The Correct Answer and Explanation is: To solve 742 \u00f7 61 using powers of 10, the best choice for the first number to subtract is 610, which is 61 \u00d7 10. [&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-33633","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33633","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=33633"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33633\/revisions"}],"predecessor-version":[{"id":33641,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/33633\/revisions\/33641"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=33633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=33633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=33633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}