{"id":1146,"date":"2013-06-06T07:07:56","date_gmt":"2013-06-06T07:07:56","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1146"},"modified":"2026-03-26T09:37:09","modified_gmt":"2026-03-26T14:37:09","slug":"multiplying-decimals","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/multiplying-decimals\/","title":{"rendered":"How to Multiply Decimals"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_-19k5wXlniI\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_-19k5wXlniI\" data-source-videoID=\"-19k5wXlniI\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"How to Multiply Decimals Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"How to Multiply Decimals\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_-19k5wXlniI:hover {cursor:pointer;} img#videoThumbnailImage_-19k5wXlniI {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/724-how-to-multiply-decimals-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_-19k5wXlniI\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_-19k5wXlniI\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"How to Multiply Decimals\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_-19k5wXlniI\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_-19k5wXlniI\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_-19k5wXlniI\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction Bsu_Function() {\n  var x = document.getElementById(\"Bsu\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"Bsu_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"Bsu\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Place_Value\" class=\"smooth-scroll\">Place Value<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Multiplying_Decimals\" class=\"smooth-scroll\">Multiplying Decimals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Multiplying_Decimals_Practice_Questions\" class=\"smooth-scroll\">Multiplying Decimals Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><a href=\"https:\/\/www.mometrix.com\/academy\/decimal-calculator\" target=\"none\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey, guys! Welcome to this Mometrix video on multiplying decimals. <\/p>\n<p>Multiplying decimals may seem like a daunting challenge, but in this video, we\u2019ll show you the techniques you need to decimate this decimal dilemma.<\/p>\n<h2><span id=\"Place_Value\" class=\"m-toc-anchor\"><\/span>Place Value<\/h2>\n<p>\nIn order to understand decimals, you first have to understand <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/place-value\/\">place value<\/a>. Every number has a value based on its place relative to the other numbers. <\/p>\n<p>Let\u2019s look at the number 1,762. Based on place value, the number to the far left has the largest value. In this case, the number farthest to the left is in the thousands place.<\/p>\n<p>The second number farthest to the left, our 7, is in the hundreds place.<\/p>\n<p>The third number, 6, is in the tens place.<\/p>\n<p>And then our last number here, which is farthest to the right, is in the ones place.<\/p>\n<p>Here&#8217;s another way to think of this:<\/p>\n<div class=\"transcriptcallout\">Thousands place: \\(1\\times 1,000=1,000\\)<br \/>\nHundreds place: \\(7\\times 100=700\\)<br \/>\nTens place: \\(6\\times 10=60\\)<br \/>\nOnes place: \\(2\\times 1=2\\)<\/p>\n<p style=\"margin-bottom: 0em;\">Total: \\(1,762\\)<\/p>\n<\/div>\n<p>\n&nbsp;<br \/>\nSo what we see when we do that, is we should be able to multiply whatever number is in a specific place value, we should be able to take that number and multiply it times its place value. So, in this case, it&#8217;s in the thousands place, so we should be able to multiply it by a thousand, multiply 7 by 100, 6 by 10, and then 2 by 1. And so again, we&#8217;re multiplying every number by its place value. And then when we add it all up, we should get the total, which is equal to our number.<\/p>\n<p>So now, any number behind our last number, so in this case 2, is called the &#8220;tenths&#8221; place. And this is where decimals come into play. <\/p>\n<p>Let\u2019s look at 1,762.8. The .8 behind the number 2 equals \\(\\frac{8}{10}\\) of one whole. <\/p>\n<p>So that was a review of numbers and their place value. Let&#8217;s take a look at how to actually multiply decimals.<\/p>\n<h2><span id=\"Multiplying_Decimals\" class=\"m-toc-anchor\"><\/span>Multiplying Decimals<\/h2>\n<p>\nYou multiply decimals just like you would normal whole numbers. The trick is understanding how and when to move the decimal point so you get the right answer.<\/p>\n<p>We\u2019ll use this equation to show how it\u2019s done:<\/p>\n<div class=\"examplesentence\">\\(45.18\\times 0.5\\)<\/div>\n<p>\n&nbsp;<br \/>\nRemember place value. That means 45 and 18 hundredths multiplied by 0.5, or five-tenths. So let\u2019s figure this out.<\/p>\n<p>In solving the problem, pretend (for just a moment) that the decimal point isn\u2019t there. That would give you this equation:<\/p>\n<div class=\"examplesentence\">\\(4,518\\times 5\\)<\/div>\n<p>\n&nbsp;<br \/>\nYou don\u2019t need the 0 since it doesn\u2019t add anything to the equation. If we solve this equation, we get:<\/p>\n<table class=\"ATable\" style=\"border:none; padding-left: 20px; font-size:110%;\">\n<tbody>\n<tr>\n<td style=\"text-align:right; border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:30%\">\\(4,518\\)<\/td>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:70%\"><\/td>\n<\/tr>\n<tr>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; width:30%\"><span style=\"float:left\">\\(\\times\\)<\/span><span style=\"float:right\">\\(5\\)<\/span><\/td>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:70%\"><\/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%\">\\(22,590\\)<\/td>\n<td style=\"border-right: 0px; border-left:0px; border-top:0px; border-bottom:0px; width:70%\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>But we&#8217;re not done. We have to figure out where to place the decimal. Here\u2019s how you do that.<\/p>\n<p>Go back to the original equation and count how many numbers are behind each decimal point. In this case, there are three. Two here (45.18) and one here (0.5).<\/p>\n<p>We\u2019re almost done. Now that we know there are three numbers behind the decimals, we go back to our answer and place the decimal three places from the last number. So the first answer we got was 22,590. But remember, we have to move our decimal point three places to the left because we had 3 places behind our decimal points here. So when we do that, our decimal point ends up right after our 22.<\/p>\n<p>So our final answer is 22.59.<\/p>\n<p>So that\u2019s our look at multiplying decimals. As you can see, the concept seems much harder than it actually is. If you understand place value and how to move the decimals in the right place, you\u2019ll do just fine. <\/p>\n<p>I hope this video was helpful! See you guys next time!<\/p>\n<div style=\"text-align: center;\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/adding-and-subtracting-decimals\/\">Adding and Subtracting Decimals<\/a>  | <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/dividing-decimals\/\">Dividing Decimals<\/a><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you multiply decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Multiply decimals by treating them as whole numbers first. Then, count how many digits are after the decimal point in the multiplier and multiplicand, and put the decimal point in the product that many places from the end.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Multiply \\(1.4 \\times 0.23\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"> First, ignore the decimals completely. Treat the numbers as whole numbers.<\/p>\n<ul>\n<li>1.4 \u2192 14<\/li>\n<li>0.23 \u2192 23<\/li>\n<\/ul>\n<p>Now, multiply as normal:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Multiplying-Decimals-Example-1.svg\" alt=\"A vertical multiplication problem showing 14 \u00d7 23, with partial products 42 and 280, and a final sum of 322.\" width=\"57\" height=\"130\" class=\"aligncenter size-full wp-image-286546\"  role=\"img\" \/><\/p>\n<p>There is <strong style=\"font-weight: 600\">one<\/strong> digit after the decimal point in the original multiplicand (1.4) and <strong style=\"font-weight: 600\">two<\/strong> digits after the decimal point in the original multiplier (0.23). Since there are three digits appearing after decimal points, that means that we need to move the decimal point in our final product three places from the end of the number, which gives us 0.322. Therefore: <\/p>\n<p style=\"text-align:center; margin-bottom: 0em\"> \\(1.4 \\times 0.23 = 0.322\\)<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you multiply decimals by whole numbers?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Multiply decimals by whole numbers by treating them as whole numbers first. Then, place the decimal point in the same place as in the original decimal number.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Multiply \\(1.74 \\times 13\\). <\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"> First, ignore the decimal completely. Treat the multiplicand as a whole number. <\/p>\n<ul>\n<li>1.74 \u2192 174<\/li>\n<\/ul>\n<p>Now, multiply as normal:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Multiplying-Decimals-Example-2.2.svg\" alt=\"Vertical multiplication of 174 by 13, showing partial products 522 and 1,740, with a final sum of 2,262.\" width=\"69\" height=\"133\" class=\"aligncenter size-full wp-image-286555\"  role=\"img\" \/><\/p>\n<p>Since the multiplicand has two digits after the decimal, move the decimal two places to the left in the final product. This gives us a final product of 22.62:<\/p>\n<p style=\"text-align: center; margin-bottom: 0em\">\\(1.74\\times 13=22.62\\)<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you multiply repeating decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There are two ways to multiply repeating decimals:<\/p>\n<ol>\n<li>Round the repeating decimal to a fixed number of decimal places<\/li>\n<li>Convert the repeating decimal to a fraction and then multiply the fractions<\/li>\n<\/ol>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example (Rounding): Multiply \\(1.25 \\times 3.\\overline{3}\\)<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">First, round the repeating decimal to a fixed number of decimal places.<\/p>\n<p style=\"text-align: center\">\\(3. \\overline{3} \\approx 3.33\\)<\/p>\n<p>Now, ignore the decimal points and multiply as normal:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/Multiplying-Decimals-Example-3.svg\" alt=\"Column multiplication of 125 by 333, showing intermediate steps: 375, 3,750, 37,500, with the final sum 41,625.\" width=\"84\" height=\"161\" class=\"aligncenter size-full wp-image-286558\"  role=\"img\" \/><\/p>\n<p>Since there are four total digits after the decimal point in 1.25 and 3.33, move the decimal in the final product four places to the left to get 4.1625.<\/p>\n<p>Since this method uses rounding, the result is an approximation.<\/p>\n<p style=\"text-align: center; margin-bottom: 0em\">\\(1.25 \\times 3. \\overline{3} \\approx 4.1625\\)<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Multiplying_Decimals_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Multiplying Decimals 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 \/>\nWhich statement correctly describes the place value of each digit in 126.34?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">1 is in the tens place, 2 is in the hundreds place, 6 is in the ones place, 3 is in the tenths place, and 4 is in the hundredths place.<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">1 is in the hundreds place, 2 is in the tens place, 6 is in the ones place, 3 is in the tenths place, and 4 is in the hundredths place.<\/div><div class=\"PQ\"  id=\"PQ-1-3\">1 is in the hundreds place, 2 is in the ones place, 6 is in the tens place, 3 is in the hundredths place, and 4 is in the tenths place.<\/div><div class=\"PQ\"  id=\"PQ-1-4\">1 is in the ones place, 2 is in the tens place, 6 is in the hundreds place, 3 is in the tenths place, and 4 is in the hundredths place.<\/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>In the number 126.34, each digit has a specific place value based on its position relative to the decimal point:<\/p>\n<ul>\n<li>1 represents 1 group of one hundred<\/li>\n<li>2 represents 2 groups of ten<\/li>\n<li>6 represents 6 groups of one<\/li>\n<li>3 represents 3 tenths<\/li>\n<li>4 represents 4 hundredths<\/li>\n<\/ul>\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 \/>\nCalculate the product of \\(62.5 \\times 1.3\\).<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">85.43<\/div><div class=\"PQ\"  id=\"PQ-2-2\">82.82<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">81.25<\/div><div class=\"PQ\"  id=\"PQ-2-4\">89.21<\/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>When multiplying decimal values, apply the standard algorithm for multiplication as though there are no decimals. In other words, calculate \\(625 \\times 13\\), which is equal to 8,125.<\/p>\n<p>Now, determine where to place the decimal point. In the original problem, 62.5 shows one decimal movement to the left, and 1.3 shows the same thing. This means that a total of two decimal movements to the left are needed to reach the final answer of 81.25.<\/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 \/>\nCalculate the product of \\(3.8\u00d71.96\\).<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">7.448<\/div><div class=\"PQ\"  id=\"PQ-3-2\">7.888<\/div><div class=\"PQ\"  id=\"PQ-3-3\">4.778<\/div><div class=\"PQ\"  id=\"PQ-3-4\">8.455<\/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>The correct answer is 7.448. When multiplying decimal values, apply the standard algorithm for multiplication as though there are no decimals. In other words, simply calculate \\(38\u00d7196\\), which is equal to 7,448.<\/p>\n<p>Now, determine where to place the decimal point. In the original problem, 3.8 shows one decimal movement to the left, and 1.96 shows two decimal movements to the left. This means that a total of three decimal movements to the left are needed to reach the final answer of 7.448.<\/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 \/>\nCalculate the product of \\(0.5 \\times 1.03\\).<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">5.778<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">0.515<\/div><div class=\"PQ\"  id=\"PQ-4-3\">5.114<\/div><div class=\"PQ\"  id=\"PQ-4-4\">0.544<\/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>When multiplying decimal values, apply the standard algorithm for multiplication as though there are no decimals. In other words, simply calculate \\(5 \\times 103\\), which is equal to 515.<\/p>\n<p>Now, determine where to place the decimal point. In the original problem, 0.5 shows one decimal movement to the left, and 1.03 shows two decimal movements to the left. This means that a total of three decimal movements to the left are needed to reach the final answer of 0.515.<\/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 \/>\nCalculate the product of \\(22 \\times 5.6\\).<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">223.2<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-2\">123.2<\/div><div class=\"PQ\"  id=\"PQ-5-3\">321.1<\/div><div class=\"PQ\"  id=\"PQ-5-4\">323.3<\/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>When multiplying decimal values, apply the standard algorithm for multiplication as though there are no decimals. In other words, simply calculate \\(22 \\times 56\\), which is equal to 1,232.<\/p>\n<p>Now, determine where to place the decimal point. In the original problem, 22 shows no decimal movement to the left, and 5.6 shows one decimal movement to the left. This means that only one decimal movement to the left is needed to reach the final answer of 123.2.<\/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\/complex-arithmetic\/\">Return to Complex Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Complex Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":99787,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1146","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-decimals-complex-arithmetic-videos","7":"page_category-math-advertising-group","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=1146"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1146\/revisions"}],"predecessor-version":[{"id":273517,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1146\/revisions\/273517"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99787"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}