{"id":48,"date":"2022-04-12T09:23:51","date_gmt":"2022-04-12T09:23:51","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=48"},"modified":"2025-08-07T09:37:35","modified_gmt":"2025-08-07T09:37:35","slug":"c-2-add-and-subtract-integers-using-counters","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/c-2-add-and-subtract-integers-using-counters\/","title":{"rendered":"C.2 Add and subtract integers using counters"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add and subtract integers using counters<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.2-Add-and-subtract-integers-using-counters.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<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd22 <strong>What Are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Integers<\/strong> are <strong>positive<\/strong> and <strong>negative whole numbers<\/strong>, including <strong>zero<\/strong>.<br>Examples: -5, -1, 0, 3, 7<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd34\ud83d\udd35 <strong>What Are Counters?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Counters<\/strong> are <strong>visual tools<\/strong> to help understand positive and negative integers.We use:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd35 <strong>Blue counters<\/strong> to represent <strong>positive numbers<\/strong> (+1)<\/li>\n\n\n\n<li>\ud83d\udd34 <strong>Red counters<\/strong> to represent <strong>negative numbers<\/strong> (\u20131)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\u2795 <strong>Adding Integers Using Counters<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Same Signs \u2013 Add and Keep the Sign<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Add the number of counters and keep the same sign.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+3) + (+2)<\/li>\n\n\n\n<li>\ud83d\udd35\ud83d\udd35\ud83d\udd35 + \ud83d\udd35\ud83d\udd35 = \ud83d\udd35\ud83d\udd35\ud83d\udd35\ud83d\udd35\ud83d\udd35 \u2192 <strong>+5<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(\u20134) + (\u20132)<\/li>\n\n\n\n<li>\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34 + \ud83d\udd34\ud83d\udd34 = \ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34 \u2192 <strong>\u20136<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Different Signs \u2013 Subtract and Use the Sign of the Bigger Number<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+5) + (\u20133)<\/li>\n\n\n\n<li>\ud83d\udd35\ud83d\udd35\ud83d\udd35\ud83d\udd35\ud83d\udd35 + \ud83d\udd34\ud83d\udd34\ud83d\udd34<\/li>\n\n\n\n<li>\u2192 Pair and cancel: \ud83d\udd35\ud83d\udd34 \ud83d\udd35\ud83d\udd34 \ud83d\udd35\ud83d\udd34<\/li>\n\n\n\n<li>Remaining: \ud83d\udd35\ud83d\udd35 \u2192 <strong>+2<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(\u20136) + (+2)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34 + \ud83d\udd35\ud83d\udd35<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2192 Pair and cancel: \ud83d\udd34\ud83d\udd35 \ud83d\udd34\ud83d\udd35<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Remaining: \ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34 \u2192 <strong>\u20134<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\u2796 <strong>Subtracting Integers Using Counters<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Rule: <strong>Change Subtraction to Addition<\/strong><\/h3>\n\n\n\n<p><strong>a \u2013 b = a + (\u2013b)<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Examples<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example 1:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(+4) \u2013 (+2) \u2192 Change to: (+4) + (\u20132)<\/li>\n\n\n\n<li>\ud83d\udd35\ud83d\udd35\ud83d\udd35\ud83d\udd35 + \ud83d\udd34\ud83d\udd34 \u2192 Cancel pairs: \ud83d\udd35\ud83d\udd34 \ud83d\udd35\ud83d\udd34<\/li>\n\n\n\n<li>Remaining: \ud83d\udd35\ud83d\udd35 \u2192 <strong>+2<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 2:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(\u20135) \u2013 (\u20133) \u2192 Change to: (\u20135) + (+3)<\/li>\n\n\n\n<li>\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34\ud83d\udd34 + \ud83d\udd35\ud83d\udd35\ud83d\udd35 \u2192 Cancel pairs: \ud83d\udd34\ud83d\udd35 \ud83d\udd34\ud83d\udd35 \ud83d\udd34\ud83d\udd35<\/li>\n\n\n\n<li>Remaining: \ud83d\udd34\ud83d\udd34 \u2192 <strong>\u20132<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udcdd <strong>Practice<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd39 <strong>Part A: Represent with Counters<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Draw \ud83d\udd35 and \ud83d\udd34 counters to represent the problems and solve.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(+4) + (\u20133) = ______<\/li>\n\n\n\n<li>(\u20135) + (\u20132) = ______<\/li>\n\n\n\n<li>(+6) + (+2) = ______<\/li>\n\n\n\n<li>(\u20133) + (+5) = ______<\/li>\n\n\n\n<li>(+3) \u2013 (+1) = ______<\/li>\n\n\n\n<li>(\u20136) \u2013 (\u20134) = ______<\/li>\n\n\n\n<li>(+5) \u2013 (\u20132) = ______<\/li>\n\n\n\n<li>(\u20137) + (+3) = ______<\/li>\n\n\n\n<li>(\u20134) \u2013 (+2) = ______<\/li>\n\n\n\n<li>(+2) \u2013 (\u20135) = ______<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-normal-font-size\">\u2705 <strong>Answer Key<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Part A:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>+1<\/li>\n\n\n\n<li>\u20137<\/li>\n\n\n\n<li>+8<\/li>\n\n\n\n<li>+2<\/li>\n\n\n\n<li>+2<\/li>\n\n\n\n<li>\u20132<\/li>\n\n\n\n<li>+7<\/li>\n\n\n\n<li>\u20134<\/li>\n\n\n\n<li>\u20136<\/li>\n\n\n\n<li>+7<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\ud83d\udd39 <strong>Part B: Word Problems<\/strong><\/h3>\n\n\n\n<p>Use counters (draw if needed) to solve:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>You gained 6 points in a game and then lost 4 points. What is your score now?<\/li>\n\n\n\n<li>A submarine is at \u201310 meters. It rises 6 meters. Where is it now?<\/li>\n\n\n\n<li>You owe 5 rupees and borrow 3 more. What is your total debt?<\/li>\n<\/ol>\n\n\n\n<p>\u2705 <strong>Answer Key<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Part B:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>+2<\/strong><\/li>\n\n\n\n<li><strong>\u20134 meters<\/strong><\/li>\n\n\n\n<li><strong>\u20138 rupees<\/strong><\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-normal-font-size\">\ud83d\udca1 <strong>Tips:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Practice with real or drawn counters!negative side.<\/li>\n\n\n\n<li>Cancel out 1 \ud83d\udd35 and 1 \ud83d\udd34 when together (they make 0).<\/li>\n\n\n\n<li>Change subtraction to addition by adding the opposite.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/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\" style=\"flex-basis:100%\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-17441b08dfdf0699cc73a956d3e73f44\" style=\"background-color:#ceeaf9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-775d1136038677036fc1d5a35af33e35\"><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> Use counters to add&nbsp;2 + 3.<\/strong><\/p>\n\n\n\n<p>You start with:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-7660\" style=\"width:272px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>You add:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview.png\" alt=\"\" class=\"wp-image-7661\" style=\"width:217px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__6_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Which picture shows the sum?<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Use_a_place_value_chart._Be_sure_to_line_up_the_decimal_points._ones_tenths_hundredths_0._0_8_1._8_5._8_1-removebg-preview.png\" alt=\"\" class=\"wp-image-7662\" style=\"width:232px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Use_a_place_value_chart._Be_sure_to_line_up_the_decimal_points._ones_tenths_hundredths_0._0_8_1._8_5._8_1-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Use_a_place_value_chart._Be_sure_to_line_up_the_decimal_points._ones_tenths_hundredths_0._0_8_1._8_5._8_1-removebg-preview-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Use_a_place_value_chart._Be_sure_to_line_up_the_decimal_points._ones_tenths_hundredths_0._0_8_1._8_5._8_1-removebg-preview-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Use_a_place_value_chart._Be_sure_to_line_up_the_decimal_points._ones_tenths_hundredths_0._0_8_1._8_5._8_1-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>You are trying to calculate 2 + 3.<\/p>\n\n\n\n<p>Start out with 2 positive counters, which represent 2:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-7663\" style=\"width:303px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Now add 3 positive counters:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-7664\" style=\"width:242px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__7_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Since the counters are all positive, just count them. There are 5 positive counters, so 2 + 3 = 5.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f5bdbd\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><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>Use counters to subtract&nbsp;3 \u2212&nbsp;(-1).<\/strong><\/p>\n\n\n\n<p>You start with:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-1.png\" alt=\"\" class=\"wp-image-8568\" style=\"width:144px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-1-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>You subtract :<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2.png\" alt=\"\" class=\"wp-image-8569\" style=\"width:162px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Which picture shows the difference?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3.png\" alt=\"\" class=\"wp-image-8570\" style=\"width:224px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>You are trying to calculate 3 \u2212&nbsp;(-1).<\/p>\n\n\n\n<p>Start out with 3 positive counters, which represent 3:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview.png\" alt=\"\" class=\"wp-image-7909\" style=\"width:226px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>You would like to take away 1 negative counter. However, it&#8217;s not possible to take away 1 negative counter, because there aren&#8217;t any negative counters in the first group. You can fix this problem by adding 1 pair of positive and negative counters to the first group, so that you have the 1 negative counter that is needed:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-7910\" style=\"width:524px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Now take away 1 negative counter:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-7912\" style=\"width:351px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>4 positive counters remain. So 3 \u2212&nbsp;(-1) = 4.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#ecb2b2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><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>Use counters to subtract&nbsp;-1 \u2212 2.<\/strong><\/p>\n\n\n\n<p>You start with:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/image.png\" alt=\"\" class=\"wp-image-7949\" style=\"width:54px;height:auto\"\/><\/figure>\n\n\n\n<p>You subtract:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6.png\" alt=\"\" class=\"wp-image-7952\" style=\"width:208px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Which picture shows the difference?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2.png\" alt=\"\" class=\"wp-image-7953\" style=\"width:360px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>You are trying to calculate&nbsp;-1 \u2212 2.<\/p>\n\n\n\n<p>Start out with 1 negative counter, which represents<\/p>\n\n\n\n<p>-1:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/image-2.png\" alt=\"\" class=\"wp-image-7954\" style=\"width:42px;height:auto\"\/><\/figure>\n\n\n\n<p>You would like to take away 2 positive counters. However, it&#8217;s not possible to take away 2 positive counters, because there aren&#8217;t any positive counters in the first group. You can fix this problem by adding 2 pairs of positive and negative counters to the first group, so that you have the 2 positive counters that are needed:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-7955\" style=\"width:170px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__2_-removebg-preview-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Now take away 2 positive counters:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-7956\" style=\"width:199px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-3.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><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 is-style-default\"><a href=\"https:\/\/wordwall.net\/play\/76334\/280\/106\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-190.png\" alt=\"\" class=\"wp-image-7133\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-190.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-190-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-190-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-190-400x400.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\/34869\/648\/673\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-193.png\" alt=\"\" class=\"wp-image-7134\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-193.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-193-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-193-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-193-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract integers using counters Key Notes: \ud83d\udd22 What Are Integers? \ud83d\udd34\ud83d\udd35 What Are Counters? Counters are visual tools to help understand positive and negative integers.We use: \u2795 Adding Integers Using Counters Same Signs \u2013 Add and Keep the Sign Add the number of counters and keep the same sign. Example: Example: Different Signs<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/c-2-add-and-subtract-integers-using-counters\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.2 Add and subtract integers using counters&#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-48","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/48","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=48"}],"version-history":[{"count":24,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/48\/revisions"}],"predecessor-version":[{"id":16636,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/48\/revisions\/16636"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=48"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}