{"id":5577,"date":"2021-12-17T15:07:41","date_gmt":"2021-12-17T15:07:41","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5577"},"modified":"2022-02-28T15:42:40","modified_gmt":"2022-02-28T15:42:40","slug":"adding-integers-using-integer-chips","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/adding-integers-using-integer-chips\/","title":{"rendered":"Adding Integers Using Integer Chips"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Adding Integers Using Integer Chips<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The term \u201cinteger\u201d was adapted in Mathematics from Latin. Integer means intact or whole. Integers are very much like whole numbers, but they also include negative numbers among them. For example, 11, 8, 0, and \u22121,908 are integers whereas \u221a5, \u03a0 are not integers. The set of integers consists of zero, the positive natural numbers, and their additive inverses.<\/p>\n<p>Addition generally means to increase the value. But, in the case of integers, the addition operation might lead to an increase or decrease in the value of the given number. If we add a negative integer, the value of the given number will decrease and if we add a positive integer the value will increase.<\/p>\n<p>When modeling integers, we can use colored chips to represent these integers. One color can represent a positive number and another color can represent a negative number. Here, a yellow chip will represent a positive integer and a red chip will represent a negative integer. A zero pair is the pair of the positive and negative form of the same number.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5531 size-medium\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Subtract-integer-chipsTeacher-Desmos-300x165.png\" alt=\"\" width=\"300\" height=\"165\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Subtract-integer-chipsTeacher-Desmos-300x165.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Subtract-integer-chipsTeacher-Desmos.png 532w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Model the addends using integer chips. If the addend is positive, use yellow chips. If the addend is negative, use red chips.<br \/>\n2. Equal amounts of red and yellow counters create zero pairs and cancel each other out.<br \/>\n3. Determine the amount and color of the remaining counters and write the corresponding integer.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Add.<\/strong><\/span><br \/>\n<strong>-12 + 4 <\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. Model the addends using integer chips. If the addend is positive, use yellow chips. If the addend is negative, use red chips.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5581 size-full\" style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-31.png\" alt=\"\" width=\"346\" height=\"135\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-31.png 346w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-31-300x117.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-31-344x135.png 344w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/a><br \/>\n2. Equal amounts of red and yellow counters create zero pairs and cancel each other out.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5583 size-full\" style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-31.png\" alt=\"\" width=\"346\" height=\"135\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-31.png 346w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-31-300x117.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-31-344x135.png 344w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/a><br \/>\n3. Determine the amount and color of the remaining counters and write the corresponding integer.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5585 size-full\" style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-33.png\" alt=\"\" width=\"347\" height=\"44\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-33.png 347w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-33-300x38.png 300w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-33-344x44.png 344w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/a><br \/>\n<strong><span style=\"color: #ff0000;\">-12 + 4 = -8<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Adding Integers Using Integer Chips[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Use the counters to model the expression and then find the solution. <\/span><\/strong><br \/>\n<strong>8 + (-3)<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5579 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-30.png\" alt=\"Adding Integers Using Integer Chips Practice Problem 1\" width=\"365\" height=\"262\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-30.png 365w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-30-300x215.png 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Use the counters to model the expression and then find the solution. <\/span><\/strong><br \/>\n<strong>(-7) + 5<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5587 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/5-27.png\" alt=\"Adding Integers Using Integer Chips Practice Problem 2\" width=\"342\" height=\"242\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/5-27.png 342w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/5-27-300x212.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Use the counters to model the expression and then find the solution. <\/span><\/strong><br \/>\n<strong>(-6) + 10 + (-3)<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers\"><img loading=\"lazy\" class=\"alignnone wp-image-5589 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-29.png\" alt=\"Adding Integers Using Integer Chips Practice Problem 3\" width=\"363\" height=\"257\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-29.png 363w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-29-300x212.png 300w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/adding-integers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]An <strong>integer<\/strong> is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.<\/p>\n<p><strong>Positive Integers:<\/strong> An integer is positive if it is greater than zero. Example: 1, 2, 3 . . .<\/p>\n<p><strong>Negative Integers:<\/strong> An integer is negative if it is less than zero. Example: -1, -2, -3 . . .<\/p>\n<p><strong>Zero<\/strong> is defined as neither negative nor positive integer. It is a whole number.<\/p>\n<p>A <strong>zero pair<\/strong> – A pair of the positive and negative form of the same number.<\/p>\n<p><strong>Absolute value<\/strong> \u2013 the positive distance that a number is from 0 on a number line.<\/p>\n<p><strong>Additive inverses<\/strong> \u2013 two integers that are opposites.<\/p>\n<p><strong>Integer chips<\/strong> – Are colored chips with signs. One color represents a positive number and another color represents a negative number.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/integers-and-absolute-value\"><span style=\"color: #ed5600;\">Integers and Absolute Value<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Order-of-Operations\"><span style=\"color: #ed5600;\">Order of Operations<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1637330011030{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/subtracting-integers\"><span style=\"color: #333399;\">Subtracting Integers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/multiplying-integers\"><span style=\"color: #333399;\">Multiplying Integers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/dividing-integers\"><span style=\"color: #333399;\">Dividing Integers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/evaluating-algebraic-expressions\"><span style=\"color: #333399;\">Evaluating Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/evaluate-algebraic-expressions\"><span style=\"color: #333399;\">Evaluate Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><span style=\"color: #333399;\">Add Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/subtract-linear-expressions\"><span style=\"color: #333399;\">Subtract Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-complex-equations\"><span style=\"color: #333399;\">Solve Complex Equations<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Addition” color=”warning” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Integers” color=”danger” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fintegers|title:Integers||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Adding Integers Using Integer Chips [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The term \u201cinteger\u201d was adapted in Mathematics from Latin. Integer means intact or whole. Integers are very much like whole numbers, but they […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Adding Integers Using Integer Chips | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Adding Integers Using Integer Chips, One color chip represents a positive number and another color chip represents a negative number.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/adding-integers-using-integer-chips\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Adding Integers 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