{"id":230340,"date":"2025-06-09T10:45:48","date_gmt":"2025-06-09T10:45:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230340"},"modified":"2025-06-09T10:45:50","modified_gmt":"2025-06-09T10:45:50","slug":"find-the-dividend-which-when-divided-by-25-gives-154-as-the-quotient","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/find-the-dividend-which-when-divided-by-25-gives-154-as-the-quotient\/","title":{"rendered":"Find the dividend which when divided by -25 gives 154 as the quotient."},"content":{"rendered":"\n
Find the dividend which when divided by -25 gives 154 as the quotient. b) When 3500 is divided by a number X, the quotient is -125. Find the value of X. 1 11573 is divided by -18?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
8. Solve:<\/strong><\/h3>\n\n\n\n
a) Find the dividend which when divided by -25 gives 154 as the quotient.<\/strong><\/h4>\n\n\n\n
We use the basic division formula: Dividend=Divisor\u00d7Quotient\\text{Dividend} = \\text{Divisor} \\times \\text{Quotient}Dividend=Divisor\u00d7Quotient<\/p>\n\n\n\n
b) When 3500 is divided by a number X, the quotient is -125. Find the value of X.<\/strong><\/h4>\n\n\n\n
Again, use the division formula: Dividend=Divisor\u00d7Quotient\\text{Dividend} = \\text{Divisor} \\times \\text{Quotient}Dividend=Divisor\u00d7Quotient<\/p>\n\n\n\n
Here:<\/p>\n\n\n\n
\n
Dividend = 3500<\/li>\n\n\n\n
Quotient = -125<\/li>\n<\/ul>\n\n\n\n
We rearrange to find the divisor (X): X=DividendQuotient=3500\u2212125=\u221228X = \\frac{\\text{Dividend}}{\\text{Quotient}} = \\frac{3500}{-125} = -28X=QuotientDividend\u200b=\u22121253500\u200b=\u221228<\/p>\n\n\n\n
Answer: -28<\/strong><\/p>\n\n\n\n\n\n\n\n
c) What is the quotient when 11573 is divided by -18?<\/strong><\/h4>\n\n\n\n
So: 11573\u00f7\u221218=\u2212643 R 711573 \\div -18 = -643 \\text{ R } 711573\u00f7\u221218=\u2212643 R 7<\/p>\n\n\n\n
Or in decimal: \u2248\u2212643.0556\\approx -643.0556\u2248\u2212643.0556<\/p>\n\n\n\n
Answer: -643 remainder 7<\/strong> or -643.0556 (rounded to 4 decimal places)<\/strong><\/p>\n\n\n\n\n\n\n\n
Explanation:<\/strong><\/h3>\n\n\n\n
Division is a fundamental arithmetic operation that determines how many times one number (the divisor) fits into another (the dividend). When solving problems involving quotients, dividends, and divisors, we rely on the basic relationship: Dividend=Divisor\u00d7Quotient\\text{Dividend} = \\text{Divisor} \\times \\text{Quotient}Dividend=Divisor\u00d7Quotient<\/p>\n\n\n\n
In part (a), we are given the divisor and quotient and need to find the dividend. This is a simple multiplication problem: multiplying -25 by 154 gives us -3850. This means if we divide -3850 by -25, we get the quotient 154, confirming the solution.<\/p>\n\n\n\n
In part (b), we are given the dividend and quotient and must find the divisor. We rearrange the formula: divide the dividend (3500) by the quotient (-125). This gives us a divisor of -28, which is the value of X. Thus, dividing 3500 by -28 gives a quotient of -125, validating the answer.<\/p>\n\n\n\n
In part (c), we calculate how many times -18 fits into 11573. Since the divisor is negative, the quotient is also negative. Dividing 11573 by -18 gives -643 with a remainder of 7. This tells us that -18 goes into 11573 a total of 643 times, with 7 left over. This can also be expressed as a recurring decimal: -643.0556.<\/p>\n\n\n\n
Understanding these concepts helps us work flexibly with positive and negative numbers, division with remainders, and the relationships between quotient, divisor, and dividend. This is crucial in both academic math and practical problem-solving scenarios<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Find the dividend which when divided by -25 gives 154 as the quotient. b) When 3500 is divided by a number X, the quotient is -125. Find the value of X. 1 11573 is divided by -18? The Correct Answer and Explanation is: 8. Solve: a) Find the dividend which when divided by -25 gives […]<\/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-230340","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230340","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=230340"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230340\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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