65×7 in distributive property<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: 455<\/strong><\/mark><\/p>\n\n\n\n To solve ( 65 \\times 7 ) using the distributive property, we can break down the number ( 65 ) into more manageable parts. The distributive property states that ( a(b + c) = ab + ac ). Here\u2019s how we can apply this property:<\/p>\n\n\n\n So, the answer to ( 65 \\times 7 ) is ( 455 ).<\/p>\n\n\n\n The distributive property is a fundamental concept in arithmetic that allows us to simplify multiplication involving addition. By breaking a larger number into smaller, easier-to-handle parts, we can perform calculations that are often simpler and less prone to errors. This technique is particularly useful in mental math, where we might not have a calculator handy.<\/p>\n\n\n\n In our example, we chose to break ( 65 ) into ( 60 ) and ( 5 ) because ( 60 ) is a multiple of ( 10 ), making ( 60 \\times 7 ) straightforward. By distributing ( 7 ) across both parts, we leverage our understanding of basic multiplication facts to arrive at the total more efficiently. This method not only aids in calculation but also deepens our understanding of how numbers relate to one another. Thus, the distributive property serves as a powerful tool in arithmetic and algebra, helping to simplify problems and enhance computational fluency.<\/p>\n","protected":false},"excerpt":{"rendered":" 65×7 in distributive property The Correct Answer and Explanation is : The correct answer is: 455 To solve ( 65 \\times 7 ) using the distributive property, we can break down the number ( 65 ) into more manageable parts. The distributive property states that ( a(b + c) = ab + ac ). Here\u2019s […]<\/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-152311","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152311","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=152311"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152311\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=152311"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=152311"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=152311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
65 \\times 7 = (60 + 5) \\times 7
]<\/li>\n\n\n\n
(60 + 5) \\times 7 = 60 \\times 7 + 5 \\times 7
]<\/li>\n\n\n\n\n
[
60 \\times 7 = 420
]<\/li>\n\n\n\n
[
5 \\times 7 = 35
]<\/li>\n<\/ul>\n\n\n\n\n
[
420 + 35 = 455
]<\/li>\n<\/ol>\n\n\n\nExplanation of the Distributive Property<\/h3>\n\n\n\n