{"id":60,"date":"2022-04-12T09:26:00","date_gmt":"2022-04-12T09:26:00","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=60"},"modified":"2025-11-21T05:52:39","modified_gmt":"2025-11-21T05:52:39","slug":"c-8-complete-multiplication-and-division-sentences-with-integers","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/c-8-complete-multiplication-and-division-sentences-with-integers\/","title":{"rendered":"C.8 Complete multiplication and division sentences with integers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Complete multiplication and division sentences with integers<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.8-Complete-multiplication-and-division-sentences-using-integers-.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Multiplying integers rules:<\/strong><\/p>\n\n\n\n<p>\u2705 Positive \u00d7 Positive = Positive<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 3\u00d74=123 \u00d7 4 = 123\u00d74=12<\/li>\n<\/ul>\n\n\n\n<p>\ud83c\udf1e Both numbers positive \u2192 result positive<\/p>\n\n\n\n<p>\u2705 Negative \u00d7 Negative = Positive<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: \u22123\u00d7\u22124=12-3 \u00d7 -4 = 12\u22123\u00d7\u22124=12<\/li>\n<\/ul>\n\n\n\n<p>\u2744\ufe0f Two negatives cancel \u2192 result positive<\/p>\n\n\n\n<p>\u2705 Positive \u00d7 Negative = Negative<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 3\u00d7\u22124=\u2212123 \u00d7 -4 = -123\u00d7\u22124=\u221212<\/li>\n<\/ul>\n\n\n\n<p>\ud83c\udf1e \u00d7 \u2744\ufe0f = \u2744\ufe0f \u2192 result negative<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key tip:<\/strong><\/p>\n\n\n\n<p>Think <strong>\u201cSame signs \u2192 +, Different signs \u2192 -\u201d<\/strong> \ud83d\udca1<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Complete the multiplication sentence:<\/strong><\/p>\n\n\n\n<p>Example: ?\u00d7\u22126=18? \u00d7 -6 = 18?\u00d7\u22126=18<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Divide 18 \u00f7 -6<\/li>\n\n\n\n<li>Step 2: Answer = -3<\/li>\n\n\n\n<li>\u2705 So, \u22123\u00d7\u22126=18-3 \u00d7 -6 = 18\u22123\u00d7\u22126=18<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Complete Division Sentences with Integers<\/strong><\/h3>\n\n\n\n<p><strong>Dividing integers rules:<\/strong><\/p>\n\n\n\n<p>\u2705 Positive \u00f7 Positive = Positive<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 12\u00f73=412 \u00f7 3 = 412\u00f73=4<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Negative \u00f7 Negative = Positive<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: \u221212\u00f7\u22123=4-12 \u00f7 -3 = 4\u221212\u00f7\u22123=4<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Positive \u00f7 Negative = Negative<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 12\u00f7\u22123=\u2212412 \u00f7 -3 = -412\u00f7\u22123=\u22124<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Negative \u00f7 Positive = Negative<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: \u221212\u00f73=\u22124-12 \u00f7 3 = -4\u221212\u00f73=\u22124<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key tip:<\/strong><\/p>\n\n\n\n<p>Division works like multiplication: <strong>Same signs \u2192 +, Different signs \u2192 &#8211;<\/strong> \u26a1<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Complete the division sentence:<\/strong><\/p>\n\n\n\n<p>Example: ?\u00f7\u22124=6? \u00f7 -4 = 6?\u00f7\u22124=6<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Multiply 6 \u00d7 -4 = -24<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 So, \u221224\u00f7\u22124=6-24 \u00f7 -4 = 6\u221224\u00f7\u22124=6<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udcdd <strong>Extra Tips for Students:<\/strong><\/h3>\n\n\n\n<p>Always check <strong>signs<\/strong> first \u2705<\/p>\n\n\n\n<p>Use a <strong>number line<\/strong> for visual help \ud83d\udfe2\ud83d\udd34<\/p>\n\n\n\n<p>Remember:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiplication \u2192 repeated addition<\/li>\n\n\n\n<li>Division \u2192 repeated subtraction or splitting<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-70e67f340610a77026f46f5f10a9424b\" style=\"background-color:#fbdefc\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-e2d88954c7f40e0896c2fc2bd19e0ee9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f<strong> Type the integer that makes the following multiplication number sentence true:<\/strong><\/p>\n\n\n\n<p>&nbsp;_____\u00d7&nbsp;-2 = 10<\/p>\n<\/div><\/div>\n\n\n\n<p>Decide which number makes the multiplication number sentence true.<\/p>\n\n\n\n<p>First, ignore any negatives and find the missing number:<\/p>\n\n\n\n<p><strong>5<\/strong>&nbsp;\u00d7 2 = 10<\/p>\n\n\n\n<p>Now figure out whether the 5 should be positive or negative. Look back at the original equation. Something times&nbsp;<strong>negative<\/strong>&nbsp;2 equals&nbsp;<strong>positive<\/strong>&nbsp;10. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.<\/p>\n\n\n\n<p>Try&nbsp;-5 and make sure it works.<\/p>\n\n\n\n<p>-5 \u00d7&nbsp;-2 = 10<\/p>\n\n\n\n<p>The number&nbsp;-5 gives the correct result of 10, so the answer is&nbsp;-5.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-320feccfa3e9a4bfb08a39b47ae268cb\" style=\"background-color:#faf4d7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-4c5ecf9c859353212c132f7132b5590e\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f<strong> Type the integer that makes the following multiplication number sentence true:<\/strong><\/p>\n\n\n\n<p>-3 \u00d7&nbsp;____&nbsp;= 21<\/p>\n<\/div><\/div>\n\n\n\n<p>Decide which number makes the multiplication number sentence true.<\/p>\n\n\n\n<p>First, ignore any negatives and find the missing number:<\/p>\n\n\n\n<p>3 \u00d7&nbsp;<strong>7<\/strong>&nbsp;= 21<\/p>\n\n\n\n<p>Now figure out whether the 7 should be positive or negative. Look back at the original equation.&nbsp;<strong>Negative<\/strong>&nbsp;3 times something equals&nbsp;<strong>positive<\/strong>&nbsp;21. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.<\/p>\n\n\n\n<p>Try \u20137 and make sure it works.<\/p>\n\n\n\n<p>\u20133 \u00d7 \u20137 = 21<\/p>\n\n\n\n<p>The number \u20137 gives the correct result of 21, so the answer is \u20137.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-e0a7a8d24db4bfeaf05c64c70856a607\" style=\"background-color:#bdbff6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-fefd87070a7c73d6b3b88f55cedb691a\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd25<strong>Type the integer that makes the following multiplication number sentence true:<\/strong><\/p>\n\n\n\n<p>&#8212;&#8211;\u00d7&nbsp;-6 =&nbsp;-18.<\/p>\n<\/div><\/div>\n\n\n\n<p>Decide which number makes the multiplication number sentence true.<\/p>\n\n\n\n<p>First, ignore any negatives and find the missing number:<\/p>\n\n\n\n<p><strong>3<\/strong>&nbsp;\u00d7 6 = 18<\/p>\n\n\n\n<p>Now figure out whether the 3 should be positive or negative. Look back at the original equation. Something times&nbsp;<strong>negative<\/strong>&nbsp;6 equals&nbsp;<strong>negative<\/strong>&nbsp;18. Remember your integer multiplication rules: a positive times a negative equals a negative. According to this rule, the missing integer must be positive.<\/p>\n\n\n\n<p>Try 3 and make sure it works.<\/p>\n\n\n\n<p>3 \u00d7&nbsp;-6 =&nbsp;-18<\/p>\n\n\n\n<p>The number 3 gives the correct result of&nbsp;<sup>\u2013<\/sup>18, so the answer is 3.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Try some practice problems!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76367\/364\/357\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-196.png\" alt=\"\" class=\"wp-image-7155\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-196.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-196-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-196-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-196-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76375\/215\/598\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-199.png\" alt=\"\" class=\"wp-image-7156\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-199.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-199-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-199-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-199-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Complete multiplication and division sentences with integers Key Notes: Multiplying integers rules: \u2705 Positive \u00d7 Positive = Positive \ud83c\udf1e Both numbers positive \u2192 result positive \u2705 Negative \u00d7 Negative = Positive \u2744\ufe0f Two negatives cancel \u2192 result positive \u2705 Positive \u00d7 Negative = Negative \ud83c\udf1e \u00d7 \u2744\ufe0f = \u2744\ufe0f \u2192 result negative Key tip: Think<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/c-8-complete-multiplication-and-division-sentences-with-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.8 Complete multiplication and division sentences with integers&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-60","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=60"}],"version-history":[{"count":20,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60\/revisions"}],"predecessor-version":[{"id":17588,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60\/revisions\/17588"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=60"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}