{"id":3775,"date":"2022-01-26T17:38:04","date_gmt":"2022-01-26T17:38:04","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3775"},"modified":"2022-03-02T17:17:57","modified_gmt":"2022-03-02T17:17:57","slug":"multiplying-2-digit-numbers","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/multiplying-2-digit-numbers\/","title":{"rendered":"Multiplying 2 Digit Numbers"},"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″][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>Multiplying 2 Digit Numbers<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Multiplying by a two-digit number requires multiplying each digit in every place value being multiplied by every digit in the two-digit factor.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.<br \/>\n2. Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number<br \/>\n3. Write the answer below the equals line<br \/>\n4. If that answer is greater than nine, write the ones place as the answer and carry the tens digit<br \/>\n5. Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.<br \/>\n6. When you’ve multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.<br \/>\n7. Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.<br \/>\n8. When you finish multiplying, draw another answer line below your last row of answer numbers.<br \/>\n9. Use long addition to add your number columns from right to left, carrying as you normally do for long addition.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"margin-top: 0px; color: #16a085;\"><strong>Solve<\/strong><\/span><br \/>\n<strong>61 x 21<\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]\n<div style=\"margin-top: 10px; height: auto; width: 125px; font-family: Lucida Sans Unicode,Lucida Grande,sans-serif;\">\n<table style=\"border-spacing: 0px; width: 125px; font-size: 16px;\">\n<tbody>\n<tr>\n<td style=\"width: 25px;\"><\/td>\n<td style=\"width: 25px;\"><\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\"><\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\">6<\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25px; text-align: right; border-bottom: 2px solid black;\"><\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black;\"><\/td>\n<td style=\"width: 25px; text-align: right; border-bottom: 2px solid black;\"><strong>\u00d7<\/strong><\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black; font-weight: bold;\">2<\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black; font-weight: bold;\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25px;\"><\/td>\n<td style=\"width: 25px;\"><\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\"><\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\"><strong>6<\/strong><\/td>\n<td style=\"width: 25px; text-align: center; font-weight: bold;\"><strong>1<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25px; border-bottom: 2px solid black; text-align: center;\"><strong>+<\/strong><\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black;\"><strong>1,<\/strong><\/td>\n<td style=\"width: 25px; border-bottom: 2px solid black; text-align: center;\"><strong>2<\/strong><\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black; font-weight: bold;\"><strong>2<\/strong><\/td>\n<td style=\"width: 25px; text-align: center; border-bottom: 2px solid black; font-weight: bold;\"><strong>0<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25px; text-align: center;\"><\/td>\n<td style=\"width: 25px; text-align: center;\"><strong>1,<\/strong><\/td>\n<td style=\"width: 25px; font-weight: bold; text-align: center;\"><strong>2<\/strong><\/td>\n<td style=\"width: 25px; font-weight: bold; text-align: center;\"><strong>8<\/strong><\/td>\n<td style=\"width: 25px; font-weight: bold; text-align: center;\"><strong>1<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Multiplying 2 Digit Numbers[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 8px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Multiply. Complete the missing steps. <\/span> <\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multiply-three-digit-numbers-by-two-digit-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-2935 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-20.png\" alt=\" Multiplying 2 Digit Numbers - Practice Problem 1\" width=\"169\" height=\"182\" \/><\/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\/multiply-three-digit-numbers-by-two-digit-numbers”][\/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: 8px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Multiply. Complete the missing steps. <\/span> <\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multiply-by-2-digit-number\"><img loading=\"lazy\" class=\"alignnone wp-image-2937 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-16.png\" alt=\" Multiplying 2 Digit Numbers - Practice Problem 2\" width=\"201\" height=\"179\" \/><\/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\/5th-grade\/multiply-by-2-digit-number”][\/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: 8px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Multiply.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multiply-by-2-digit-number\"><img loading=\"lazy\" class=\"alignnone wp-image-5861 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-34.png\" alt=\" Multiplying 2 Digit Numbers - Practice Problem 3\" width=\"202\" height=\"43\" \/><\/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\/5th-grade\/multiply-by-2-digit-number”][\/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]<strong>Product<\/strong> – Multiplying two whole numbers gives a product.<\/p>\n<p><strong>Factors<\/strong> – The numbers that we multiply are the factors of the product.<\/p>\n<p><strong>Multiplier<\/strong> – a quantity by which a given number (the multiplicand) is to be multiplied.<\/p>\n<p><strong>Multiplicand<\/strong> – a quantity which is to be multiplied by another (the multiplier).[\/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\/5th-grade\/distributive-property-of-multiplication\"><span style=\"color: #ed5600;\">Distributive Property of Multiplication<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multiply-by-1-digit-number\"><span style=\"color: #ed5600;\">Multiply by 1 Digit Number <\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635242953198{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\/multiples-of-10-100-and-1-000-find-the-missing-factor\"><span style=\"color: #333399;\">Multiples of 10, 100 and 1,000 – Find the Missing Factor<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multiply-1-digit-number-by-2-digit-number\"><span style=\"color: #333399;\">Multiply 1 digit Number by 2 digit Number<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multiply-multi-digit-numbers\"><span style=\"color: #333399;\">Multiply Multi-Digit Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multiply-by-tens\"><span style=\"color: #333399;\">Multiply by Tens<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multiply-two-digit-numbers\"><span style=\"color: #333399;\">Multiply Two-Digit Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multiplication-word-problems\"><span style=\"color: #333399;\">Multiplication – Word Problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-2-decimal-numbers\"><span style=\"color: #333399;\">Multiply 2 Decimal Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/multiplying-integers\"><span style=\"color: #333399;\">Multiplying Integers<\/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=”Multiplication” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][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″][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] Multiplying 2 Digit Numbers [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Multiplying by a two-digit number requires multiplying each digit in every place value being multiplied by every digit in the two-digit factor.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Arrange the numbers one […]<\/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>Multiplying 2 Digit Numbers | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Multiplying by a two-digit number requires multiplying each digit in every place value being multiplied by every digit in the two-digit factor....\" \/>\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\/multiplying-2-digit-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Multiplying 2 Digit Numbers\" \/>\n<meta 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