{"id":4685,"date":"2022-01-23T19:22:28","date_gmt":"2022-01-23T19:22:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4685"},"modified":"2022-03-03T15:19:03","modified_gmt":"2022-03-03T15:19:03","slug":"properties-of-addition","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/properties-of-addition\/","title":{"rendered":"Properties of Addition"},"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>Properties of Addition<\/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 addition is a process of adding two or more items together. In math, addition is the method of calculating the total of two or more numbers to know the sum of the numbers. It is a primary arithmetic operation.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]While performing addition we use the basic properties listed below:<\/p>\n<p><strong>Commutative Property:<\/strong> The commutative property of addition says that the order in which we add the addends does not change the sum.<br \/>\nThe sum of two or more addends will be the same irrespective of the order of the addends. For example, 5 + 3 = 3 + 5 = 8<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4687 \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638360720712.svg\" alt=\"\" width=\"253\" height=\"104\" \/><\/a><\/p>\n<p><strong>Associative Property: <\/strong>The associative property of addition is a rule that states that while adding three or more numbers, we can group them in any combination, the sum that we get remains the same irrespective of the manner in which they are grouped. In this case, grouping refers to the placement of brackets.<br \/>\nThe sum of three or more addends will be the same irrespective of the grouping or order of the addends. For example, (6 + 4) + 5 = 6 + (4 + 5)<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4689 \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638360660818.svg\" alt=\"\" width=\"286\" height=\"147\" \/><\/a><\/p>\n<p><strong>Additive Identity Property:<\/strong> If we add 0 to any number, the sum remains the actual number. The addition of the whole number 0 to any other number does not change the value of the sum. For example, 0 + 8 = 8.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4792\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638360685468.svg\" alt=\"\" width=\"240\" height=\"109\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Which property of addition does this equation show?<br \/>\n<span style=\"color: #16a085;\"><strong>14.12 + (9.5 + 7.3) = (14.12 + 9.5) + 7.3<\/strong><\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<span style=\"color: red;\"><strong>Associative property<\/strong><\/span><br \/>\nWhen adding 3 numbers, grouping does not change the sum.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Properties of Addition[\/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;\">Identify the equation that shows the commutative property of addition.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4691 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-6.png\" alt=\" Properties of Addition- Practice Problem 1\" width=\"149\" height=\"180\" \/><\/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\/4th-grade\/properties-of-addition”][\/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;\">Identify the equation that shows the associative property of addition.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4693 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-6.png\" alt=\" Properties of Addition- Practice Problem 2\" width=\"205\" height=\"180\" \/><\/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\/4th-grade\/properties-of-addition”][\/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;\">Identify the equation that shows the identity property of addition.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4695 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/5-5.png\" alt=\" Properties of Addition- Practice Problem 3\" width=\"207\" height=\"177\" \/><\/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\/4th-grade\/properties-of-addition”][\/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 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">A factory manufactures plastic products. It produced 18,606 pieces in June, 35,417 pieces in July and 14,877 pieces in August. How many total number of pieces did it produce in all?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/solving-word-problems-by-using-properties-of-addition\"><img loading=\"lazy\" class=\"alignnone wp-image-4697 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-5.png\" alt=\" Properties of Addition- Practice Problem 4\" width=\"145\" height=\"39\" \/><\/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\/4th-grade\/solving-word-problems-by-using-properties-of-addition”][\/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]The <strong>addition<\/strong> is an operation used in math to add numbers.<\/p>\n<p><strong>Commutative property of addition:<\/strong> The order of the numbers is changed, but the sum does not change.<\/p>\n<p><strong>Associative property of addition:<\/strong> When adding 3 numbers, changing the grouping does not change the sum.<\/p>\n<p><strong>Identity property of addition:<\/strong> When adding zero to any number, it equals the number itself.[\/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\/2nd-grade\/addition-strategy-count-on-using-counters\"><span style=\"color: #ed5600;\">Addition strategy – Count on using counters<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/add-using-number-lines-G2\"><span style=\"color: #ed5600;\">Add Using Number Lines<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/doubles\"><span style=\"color: #ed5600;\">Doubles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/Near-Doubles2\"><span style=\"color: #ed5600;\">Near Doubles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/addition-strategy-make-10\"><span style=\"color: #ed5600;\">Addition strategy – Make 10<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/add-three-numbers\"><span style=\"color: #ed5600;\">Add three numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/add-2-digits-and-1-or-2-digits-number-without-regrouping\"><span style=\"color: #ed5600;\">Add 2 digits and 1 or 2 digits number – without regrouping<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/regroup-ones-as-tens\"><span style=\"color: #ed5600;\">Regroup ones as tens<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/add-2-two-digit-numbers-with-regrouping\"><span style=\"color: #ed5600;\">Add 2 two-digit numbers with regrouping<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/add-3-two-digit-numbers\"><span style=\"color: #ed5600;\">Add 3 two-digit numbers<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635844358451{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\/4th-grade\/estimating-sums-by-rounding\"><span style=\"color: #333399;\">Estimating Sums by Rounding<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/solving-word-problems-by-estimating-sums\"><span style=\"color: #333399;\">Solving Word Problems by Estimating Sums<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multi-digit-addition\"><span style=\"color: #333399;\">Multi-Digit Addition<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/solving-word-problems-by-addition\"><span style=\"color: #333399;\">Solving Word Problems by Addition<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multi-digit-subtraction\"><span style=\"color: #333399;\">Multi-Digit Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/solving-word-problems-by-subtraction\"><span style=\"color: #333399;\">Solving Word Problems by Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/subtract-across-zeros\"><span style=\"color: #333399;\">Subtract Across Zero<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/solving-word-problems-by-subtracting-across-zero\"><span style=\"color: #333399;\">Solving Word Problems by Subtracting Across Zero<\/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=”Operations” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Foperations|title:Operations||”][vc_btn title=”Properties of operation” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fproperties-of-operation|title:Properties%20of%20operation||”][vc_btn title=”Word Problems” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/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] Properties of Addition [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The addition is a process of adding two or more items together. In math, addition is the method of calculating the total of two or […]<\/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>Properties of Addition | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The mathematics of math have four properties that require the concept of addition. 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