{"id":117499,"date":"2022-03-09T08:23:34","date_gmt":"2022-03-09T14:23:34","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=117499"},"modified":"2026-03-28T11:49:33","modified_gmt":"2026-03-28T16:49:33","slug":"adding-large-numbers","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/adding-large-numbers\/","title":{"rendered":"Adding Large Numbers"},"content":{"rendered":"<h1>Adding Large Numbers<\/h1>\n<div class=\"video-wrapper\"><iframe loading=\"lazy\" title=\"#2204 Adding Large Numbers\" src=\"https:\/\/player.vimeo.com\/video\/636379299?h=6fc8ac3fc6&amp;app_id=122963\" width=\"1200\" height=\"675\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture; clipboard-write; encrypted-media; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\"><\/iframe><\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello! Today we\u2019re going to take a look at how to <strong>add large numbers<\/strong>. We do simple addition in our heads. \\(5+6=11\\), and we don\u2019t even really have to think about it. But when numbers get bigger, we need to follow a system to add them. For instance, what if we took a look at the problem \\(4,537+692\\) ? This one we can&#8217;t do in our heads, so let&#8217;s take a look at how we would solve this.<\/p>\n<p>The key to adding up numbers is to line them up by their place values, stacking them on top of one another. So, for this problem, that would look like this. We have the first number 4,537, and then we want to line up 692 underneath by its <a href=\"https:\/\/www.mometrix.com\/academy\/place-value\/\"><strong>place value<\/strong><\/a>. So that would go right here. And then we&#8217;re adding, so this is what it would look like. <\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(4537\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\"><span style=\"float:left\">\\(+\\)<\/span><span style=\"float:right\">\\(692\\)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>Notice that the ones placed in the first number should be right above the ones place in the second number. The tens place is above the tens place, the hundreds place is above the hundreds place. And then we have a thousands place in our top number but not in our bottom number, so that&#8217;s okay. So, now what we want to do is add from right to left, our ones places, and then our tens places, and so on. So let&#8217;s start doing that. We have \\(7+2=9\\), so we&#8217;re going to write a 9 right here.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(4537\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\"><span style=\"float:left\">\\(+\\)<\/span><span style=\"float:right\">\\(692\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(9\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>Now let&#8217;s add \\(3+9\\), well \\(3+9=12\\), and we can&#8217;t fit 12 into this one digit place right here. So what we&#8217;re going to do is, we&#8217;re going to write down the 2 part of the 12 and then the 10 part \u2014 the 1, is going to be carried to the next place value, just like this.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; \">\\(\\phantom{0}1 \\phantom{00}\\)<br \/>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px;\">\\(4537\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px;\"><span style=\"float:left\">\\(+\\)<\/span><span style=\"float:right\">\\(692\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px;\">\\(29\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>So, it looks a little bit weird, but when we think about it the 1 in the number 12 is really a 10, and because each time we move up one place value we increase by a tens place, we can carry the 1 and it&#8217;s the same thing. So now we&#8217;re going to add this next column. \\(6+5=11\\), and then we&#8217;re going to add this 1 also, so \\(11+1=12\\). Again, we&#8217;re going to do the exact same thing, so we&#8217;re going to write down the 2 and carry our 1.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; \">\\(11\\phantom{00}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(4537\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\"><span style=\"float:left\">\\(+\\)<\/span><span style=\"float:right\">\\(692\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(229\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>There&#8217;s nothing under the 4, which means we&#8217;re just going to pretend it&#8217;s a 0, we don&#8217;t have to add anything. And then we&#8217;ll just move to the 4 and then add the 1 that we carry, so \\(4+1=5\\).<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(11\\phantom{00}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(4537\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\"><span style=\"float:left\">\\(+\\)<\/span><span style=\"float:right\">\\(692\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(5229\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>So \\(4,537+692=5,226\\). <\/p>\n<p>Now that we&#8217;ve figured this out, let&#8217;s look at another problem so that we can get some more practice under our belts.<\/p>\n<p>What if we have an even larger number, like \\(45,982+9,673\\) ?<\/p>\n<p>The good news is, we can use the exact same system that we did last time to solve this problem. So again, we&#8217;re going to line up our numbers by their place value. <\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+ \\text{ }9673\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>And then we&#8217;re going to add from right to left.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+\\text{ }9673\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(5\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>\\(8+7=15\\). Remember, since we have a two-digit number, we write down the 5 (the second part of it) and then we carry the 1 from the 15 (that&#8217;s the number that was in our tens place).<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(\\phantom{0}1\\phantom{00}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+\\text{ }9673\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(55\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>So we carry it over and then add this whole column: \\(9+6=15+1=16\\). We&#8217;re gonna do the same thing with carrying, so write down the 6 and carry the 1.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(11\\phantom{00}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+\\text{ }9673\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(655\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>\\(9+5=14+1=15\\), so we&#8217;re gonna write down a 5, carry a 1.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(111\\phantom{0}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+\\text{ }9673\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(5655\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>Remember, there&#8217;s nothing here so we can pretend it&#8217;s a 0. \\(0+4=4+1=5\\), so we write down a 5.<\/p>\n<blockquote style=\"border: 0px; padding: 30px; background-color: #eee; box-shadow: 1.5px 1.5px 5px grey; width:80%; margin: auto;\">\n<div style=\"font-style:normal; font-size:90%; text-align:center;\">\n<table class=\"ATable\" style=\"border:none; margin-left:30px; font-size:110%; margin: auto; width: 15%;\">\n<body><\/p>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(111\\phantom{0}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(45982\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\">\\(+\\text{ }9673\\)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(55655\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/blockquote>\n<p>\n&nbsp;<\/p>\n<p>And now we can see that \\(45,982+9,673=55,655\\).<\/p>\n<p>I hope that this video on adding large numbers made it a little bit clearer for you. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Adding_Large_Numbers_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Adding Large Numbers Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(6{,}573+389=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">6,751<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">6,962<\/div><div class=\"PQ\"  id=\"PQ-1-3\">10,642<\/div><div class=\"PQ\"  id=\"PQ-1-4\">9,362<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, line the digits up by their place values.<\/p>\n<p>\\begin{array}{r}<br \/>\n6,\\!573 \\\\<br \/>\n+\\phantom{6,\\!}389 \\\\<br \/>\n\\hline<br \/>\n\\end{array}<\/p>\n<p>Add from right to left: \\(3+9=12\\). Write the 2 down and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+6,\\!5}1\\phantom{3} \\\\<br \/>\n\\phantom{+}6,\\!573 \\\\<br \/>\n+\\phantom{6,\\!}389 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+6,\\!57}2<br \/>\n\\end{array}<\/p>\n<p>Add: \\(7+8+1=16\\). Write the 6 down next to 2 and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+6,\\!}11\\phantom{3} \\\\<br \/>\n\\phantom{+}6,\\!573 \\\\<br \/>\n+\\phantom{6,\\!}389 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+6,\\!5}62<br \/>\n\\end{array}<\/p>\n<p>Add: \\(5+3+1=9\\). Write the 9 down next to 6.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+6,\\!}11\\phantom{3} \\\\<br \/>\n\\phantom{+}6,\\!573 \\\\<br \/>\n+\\phantom{6,\\!}389 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+6,\\!}962<br \/>\n\\end{array}<\/p>\n<p>Since there is no number to add to the 6, write down the 6 next to 9.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+6,\\!}11\\phantom{3} \\\\<br \/>\n\\phantom{+}6,\\!573 \\\\<br \/>\n+\\phantom{6,\\!}389 \\\\<br \/>\n\\hline<br \/>\n6,\\!962<br \/>\n\\end{array}<\/p>\n<p>So, \\(6{,}573 + 389 = 6{,}962\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(54{,}673+7{,}924=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\\(133{,}913\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(126{,}813\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(61{,}597\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">\\(62{,}597\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, line the digits up by their place values.<\/p>\n<p>\\begin{array}{r}<br \/>\n54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n\\end{array}<\/p>\n<p>Add from right to left: \\(3+4=7\\). Write the 7.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+54,\\!67} \\\\<br \/>\n\\phantom{+}54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+54,\\!67}7<br \/>\n\\end{array}<\/p>\n<p>Add: \\(7+2=9\\). Write the 9 next to the 7.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+54,\\!67} \\\\<br \/>\n\\phantom{+}54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+54,\\!6}97<br \/>\n\\end{array}<\/p>\n<p>Add: \\(6+9=15\\). Write the 5 down next to 9 and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+5}1\\phantom{,\\!673} \\\\<br \/>\n\\phantom{+}54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+54,\\!}597<br \/>\n\\end{array}<\/p>\n<p>Add: \\(4+7+1=12\\). Write down the 2 next to the 5 and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}11\\phantom{,\\!673} \\\\<br \/>\n\\phantom{+}54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+5}2,\\!597<br \/>\n\\end{array}<\/p>\n<p>Add: \\(5+1=6\\). Write down the 6 next to the 2.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}11\\phantom{,\\!673} \\\\<br \/>\n\\phantom{+}54,\\!673 \\\\<br \/>\n+\\phantom{5}7,\\!924 \\\\<br \/>\n\\hline<br \/>\n62,\\!597<br \/>\n\\end{array}<\/p>\n<p>So, \\(54{,}673+7{,}924=62{,}597\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(75{,}214+9{,}639=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(171{,}631\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(161{,}531\\)<\/div><div class=\"PQ\"  id=\"PQ-3-3\">\\(74{,}843\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">\\(84{,}853\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, line the digits up by their place values.<\/p>\n<p>\\begin{array}{r}<br \/>\n75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n\\end{array}<\/p>\n<p>Add from right to left: \\(4+9=13\\). Write the 3 and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+75,\\!21}1\\phantom{4} \\\\<br \/>\n\\phantom{+}75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+75,\\!21}3<br \/>\n\\end{array}<\/p>\n<p>Add: \\(1+3+1=5\\). Write the 5 next to the 3. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+75,\\!21}1\\phantom{4} \\\\<br \/>\n\\phantom{+}75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+75,\\!2}53<br \/>\n\\end{array}<\/p>\n<p>Add: \\(2+6=8\\). Write the 8 down next to 5.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+75,\\!21}1\\phantom{4} \\\\<br \/>\n\\phantom{+}75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+75,\\!}853<br \/>\n\\end{array}<\/p>\n<p>Add: \\(5+9=14\\). Write down the 4 next to the 8 and carry the 1 over to the next place value to the left. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}1\\phantom{,\\!21}1\\phantom{4} \\\\<br \/>\n\\phantom{+}75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+7}4,\\!853<br \/>\n\\end{array}<\/p>\n<p>Add: \\(7+1=8\\). Write down the 8 next to the 4.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}1\\phantom{,\\!21}1\\phantom{4} \\\\<br \/>\n\\phantom{+}75,\\!214 \\\\<br \/>\n+\\phantom{7}9,\\!639 \\\\<br \/>\n\\hline<br \/>\n84,\\!853<br \/>\n\\end{array}<\/p>\n<p>So, \\(75{,}214+9{,}639=84{,}853\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJessica has two accounts at her bank. She has $1,239 in her savings account and $825 in her checking account. What is the total amount Jessica has in her accounts?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">$7,469<\/div><div class=\"PQ\"  id=\"PQ-4-2\">$9,489<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-3\">$2,064<\/div><div class=\"PQ\"  id=\"PQ-4-4\">$2,044<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To find the total amount Jessica has in her accounts, we need to add their amounts together.<\/p>\n<p>First, line the digits up by their place values.<\/p>\n<p>\\begin{array}{r}<br \/>\n1,\\!239 \\\\<br \/>\n+\\phantom{1}825 \\\\<br \/>\n\\hline<br \/>\n\\end{array}<\/p>\n<p>Add from right to left: \\(9+5=14\\). Write the 4 down and carry the 1 over to the next place value to the left. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+1,\\!2}1\\phantom{9} \\\\<br \/>\n\\phantom{+}1,\\!239 \\\\<br \/>\n+\\phantom{1}825 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+1,\\!23}4<br \/>\n\\end{array}<\/p>\n<p>Add: \\(3+2+1=6\\). Write the 6 down next to 4.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+1,\\!2}1\\phantom{9} \\\\<br \/>\n\\phantom{+}1,\\!239 \\\\<br \/>\n+\\phantom{1}825 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+1,\\!2}64<br \/>\n\\end{array}<\/p>\n<p>Add: \\(2+8=10\\). Write the 0 down next to 6 and carry the 1 over to the next place value to the left. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}1\\phantom{,\\!2}1\\phantom{9} \\\\<br \/>\n\\phantom{+}1,\\!239 \\\\<br \/>\n+\\phantom{1}825 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+1}064<br \/>\n\\end{array}<\/p>\n<p>Add: \\(1+1=2\\). Write the 2 down next to 0.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}1\\phantom{,\\!2}1\\phantom{9} \\\\<br \/>\n\\phantom{+}1,\\!239 \\\\<br \/>\n+\\phantom{1}825 \\\\<br \/>\n\\hline<br \/>\n2,\\!064<br \/>\n\\end{array}<\/p>\n<p>So, \\(1{,}239+825=2{,}064\\), which means that Jessica has $2,064 in her accounts.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nA population census is taken in two nearby towns, town A and town B. The census determines that 18,433 people live in town A, and 9,749 people live in town B. What is the total number of people that live in the two towns according to the census?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">28,182<\/div><div class=\"PQ\"  id=\"PQ-5-2\">27,172<\/div><div class=\"PQ\"  id=\"PQ-5-3\">125,672<\/div><div class=\"PQ\"  id=\"PQ-5-4\">115,572<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, line the digits up by their place values.<\/p>\n<p>\\begin{array}{r}<br \/>\n18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n\\end{array}<\/p>\n<p>Start adding from right to left: \\(3+9=12\\). Write the 2 and carry the 1 over to the next place value to the left.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+18,\\!43}1\\phantom{3} \\\\<br \/>\n\\phantom{+}18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+18,\\!43}2<br \/>\n\\end{array}<\/p>\n<p>Add: \\(3+4+1=8\\). Write the 8 next to the 2. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+18,\\!43}1\\phantom{3} \\\\<br \/>\n\\phantom{+}18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+18,\\!4}82<br \/>\n\\end{array}<\/p>\n<p>Add: \\(4+7=11\\). Write the 1 next to 8 and carry the 1 in the tens place value to the next place value to the left. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+1}1\\phantom{,\\!4}1\\phantom{3} \\\\<br \/>\n\\phantom{+}18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+18,\\!}182<br \/>\n\\end{array}<\/p>\n<p>Add: \\(8+9+1=18\\). Write down the 8 next to the 1 and carry the one over to the next place value to the left. <\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}11\\phantom{,\\!4}1\\phantom{3} \\\\<br \/>\n\\phantom{+}18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n\\phantom{+1}8,\\!182<br \/>\n\\end{array}<\/p>\n<p>Add: \\(1+1=2\\). Write down the 2 next to the 8.<\/p>\n<p>\\begin{array}{r}<br \/>\n\\phantom{+}11\\phantom{,\\!4}1\\phantom{3} \\\\<br \/>\n\\phantom{+}18,\\!433 \\\\<br \/>\n+\\phantom{1}9,\\!749 \\\\<br \/>\n\\hline<br \/>\n28,\\!182<br \/>\n\\end{array}<\/p>\n<p>So, \\(18{,}433+9{,}749=28{,}182\\), which means that the total number of people that live in the two towns according to the census 28,182.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/algebra-i\/\">Return to Algebra I Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Adding Large Numbers Return to Algebra I Videos<\/p>\n","protected":false},"author":22,"featured_media":117511,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-117499","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-practice-question-videos","7":"page_type-video","8":"content_type-practice-questions","9":"subject_matter-math"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"You can add large numbers by lining them up underneath each other by place value. 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