{"id":13216,"date":"2014-02-07T19:29:13","date_gmt":"2014-02-07T19:29:13","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=13216"},"modified":"2026-03-25T10:49:04","modified_gmt":"2026-03-25T15:49:04","slug":"place-value","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/place-value\/","title":{"rendered":"Number Place Value"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_kpK9ajsVeR8\" 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_kpK9ajsVeR8\" data-source-videoID=\"kpK9ajsVeR8\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Number Place Value Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Number Place Value\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_kpK9ajsVeR8:hover {cursor:pointer;} img#videoThumbnailImage_kpK9ajsVeR8 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/07\/updated-number-place-value-64a8553caa4ca-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_kpK9ajsVeR8\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_kpK9ajsVeR8\" 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\",\"Number Place Value\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_kpK9ajsVeR8\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_kpK9ajsVeR8\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_kpK9ajsVeR8\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction MfZ_Function() {\n  var x = document.getElementById(\"MfZ\");\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=\"MfZ_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=\"MfZ\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Understanding_Place_Value\" class=\"smooth-scroll\">Understanding Place Value<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Labeling_Place_Value_%E2%80%93_Smaller_Numbers\" class=\"smooth-scroll\">Labeling Place Value \u2013 Smaller Numbers<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Labeling_Place_Value_%E2%80%93_Larger_Numbers\" class=\"smooth-scroll\">Labeling Place Value \u2013 Larger Numbers<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Expanded_Form\" class=\"smooth-scroll\">Expanded Form<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Labeling_Place_Value_%E2%80%93_Very_Small_Numbers\" class=\"smooth-scroll\">Labeling Place Value \u2013 Very Small Numbers<\/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=\"#What_is_Place_Value_PDF\" class=\"smooth-scroll\">What is Place Value? PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Number_Place_Value_Practice_Questions\" class=\"smooth-scroll\">Number Place Value 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=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Sometimes in math and science classes, you may see very large numbers, like this\u2026<\/p>\n<div class=\"examplesentence\">\\(4,310,000\\)<\/div>\n<p>\n&nbsp;<\/p>\n<p>\u2026or very small numbers like this:<\/p>\n<div class=\"examplesentence\">\\(0.015\\)<\/div>\n<p>\n&nbsp;<\/p>\n<p>In this video, we are going to talk about how to write and understand numbers just like these, and how to tell just how big or small they really are!<\/p>\n<h2><span id=\"Understanding_Place_Value\" class=\"m-toc-anchor\"><\/span>Understanding Place Value<\/h2>\n<h3><span id=\"Digits\" class=\"m-toc-anchor\"><\/span>Digits<\/h3>\n<p>\nTo begin, let\u2019s take a look at the number 125. This number is made up of three numbers put together: a 1, a 2, and a 5. Because there are three numbers, we say that 125 has three <strong>digits<\/strong>. <\/p>\n<p>Similarly, the number 79 has two digits, because it is made up of two numbers, a 7 and a 9.<\/p>\n<p>3,044 has four digits, because it has four numbers, a 3, a 0, and two 4s.<\/p>\n<h3><span id=\"Ones_Place\" class=\"m-toc-anchor\"><\/span>Ones Place<\/h3>\n<p>\nLet\u2019s zoom out a little and think about how larger numbers are constructed. Take a look at the number 2,175. Each digit in this number has a name. The digit farthest to the right is called the ones place because the first number in math with one digit is 1. In this example, 5 is in the <strong>ones place<\/strong>.<\/p>\n<h3><span id=\"Tens_Place\" class=\"m-toc-anchor\"><\/span>Tens Place<\/h3>\n<p>\nJust to the left of the ones place is the <strong>tens place<\/strong>. The tens place is where the second digit goes, and we can remember this because the first number with two digits is 10. Here, 7 is in the tens place.<\/p>\n<h3><span id=\"Hundreds_Place\" class=\"m-toc-anchor\"><\/span>Hundreds Place<\/h3>\n<p>\nThe third digit from the right is called the <strong>hundreds place<\/strong>, and that\u2019s where we write a digit when we are talking about numbers 100 or larger! The number 1 in our example is in the hundreds place.<\/p>\n<h3><span id=\"Thousands_Place\" class=\"m-toc-anchor\"><\/span>Thousands Place<\/h3>\n<p>\nThe fourth digit from the right is called the <strong>thousands place<\/strong>, and that\u2019s where we write a digit whenever we are talking about numbers 1,000 or larger. In this example, the number 2 is in the thousands place. For numbers that are 1,000 or larger, the digits can become a little trickier to read. To help organize the digits, we use commas after every third digit from the right. For numbers in the thousands, we place a comma after the thousands place!<\/p>\n<h2>Labeling Place Value &#8211; Smaller Numbers<\/h2>\n<p>\nLet\u2019s take a moment now to label the digit places in the numbers 125, 79, and 3,044.<\/p>\n<p>For the number 125, what place is the number 5 written in? Since 5 is the number farthest to the right, it is in the ones place, so we would say that the place value of 5 in 125 is five ones, or 5.<\/p>\n<p>What place is the number 2 written in? Since 2 is the second number from the right, we see that it is in the tens place. So the place value of 2 in 125 is two tens, or 20. <\/p>\n<p>What is the place value of 1 in 125? Since 1 is the third digit from the right, it is in the hundreds place and has a place value of 100.<\/p>\n<p>What about the number 79? Which number is in the tens place? 7 is, because it is the second digit from the right. What place is the 9 in? The 9 is in the ones place.<\/p>\n<p>Let\u2019s check the number 3,044 now. What is the place value of the 3? Since 3 is the fourth digit from the right, and because it comes before the comma, it is in the thousands place, and its place value is 3 thousands. What number is in the hundreds place? Zero is, since it is the third digit from the right. And what about the fours? The first 4 is in the tens place, and the second 4 is in the ones place.<\/p>\n<h2>Labeling Place Value &#8211; Larger Numbers<\/h2>\n<p>\nAs I mentioned in the beginning of this video, there are also names for digits much higher than the thousands place! Let\u2019s take a look at a number with seven digits. <\/p>\n<div class=\"examplesentence\">\\(1,350,942\\)<\/div>\n<p>\n&nbsp;<\/p>\n<h3><span id=\"TenThousands_Place\" class=\"m-toc-anchor\"><\/span>Ten-Thousands Place<\/h3>\n<p>\nWe already know how to label the first four digits from the right as the ones place, tens place, hundreds place, and thousands place. What do we call the digit where 5 is at, though? This digit is called the <strong>ten-thousands<\/strong> place because the first five-digit number is 10,000. <\/p>\n<h3><span id=\"HundredThousands_Place\" class=\"m-toc-anchor\"><\/span>Hundred-Thousands Place<\/h3>\n<p>\nCan you guess what the sixth digit is called? The sixth digit is called the <strong>hundred-thousands<\/strong> place. <\/p>\n<h3><span id=\"Millions_Place\" class=\"m-toc-anchor\"><\/span>Millions Place<\/h3>\n<p>\nAnd finally, the 1 in this number is the seventh digit from the right, and is followed by another comma. This signals to us that it is in the <strong>millions place<\/strong>!<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-138883\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/08\/Place-Value-e1661529235894.jpg\" alt=\"place value up to millions\" width=\"400\" height=\"431\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/08\/Place-Value-e1661529235894.jpg 400w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/08\/Place-Value-e1661529235894-278x300.jpg 278w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Let\u2019s do another example of labeling the place values of digits in a larger number. <\/p>\n<p>For the number 3,571,068, which number is in the ten-thousands place? The ten-thousands place is just to the left of the thousands place, so 7 is in the ten-thousands place. <\/p>\n<p>What is the place value of the number 0? Since 0 is the third digit from the right, it is in the hundreds place. <\/p>\n<p>Which number is in the millions place? We know that the millions place comes just to the left of a comma and is the seventh digit from the right, so that means that 3 is in the millions place.<\/p>\n<p>What is the place value of the number 5? The five comes just to the right of a comma, so we know that it is either the hundreds place or the hundred-thousands place. Because it is in the sixth digit from the right, it is in the hundred-thousands place and has a place value of 500,000.<\/p>\n<p>What number is in the tens place? The tens place is the second digit from the right, so we see that 6 is in the tens place.<\/p>\n<p>What is the place value of 1? Since 1 is the fourth digit from the right and is just to the left of a comma, we can tell that it is in the thousands place and has a place value of 1 thousand.<\/p>\n<p>And finally, what number is in the ones place? 8 is, because it is the digit farthest to the right.<\/p>\n<h2><span id=\"Expanded_Form\" class=\"m-toc-anchor\"><\/span>Expanded Form<\/h2>\n<p>\nSometimes it can be helpful to rewrite a number in <strong>expanded form<\/strong>, where we write the number as the sum of each digit\u2019s place value. For example, the number 125 can be written in expanded form as \\(100+20+5\\). Similarly, our three-million number can be written in expanded form as \\(3,000,000+500,000+70,000\\)\\(+1,000+0+60+8\\).<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-145732\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I10402-Expanded-Place-Value.png\" alt=\"expanded place value\" width=\"237\" height=\"497\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I10402-Expanded-Place-Value.png 237w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I10402-Expanded-Place-Value-143x300.png 143w\" sizes=\"auto, (max-width: 237px) 100vw, 237px\" \/><\/p>\n<h2>Labeling Place Value &#8211; Very Small Numbers<\/h2>\n<p>\nNow that we\u2019ve covered the names of digits for very large numbers, we also need to talk about the names of digits for very small numbers. These very small numbers are written as digits following a period, or decimal point, after the ones place. <\/p>\n<h3><span id=\"Tenths_Place\" class=\"m-toc-anchor\"><\/span>Tenths Place<\/h3>\n<p>\nFor example, the number 1.5 is the same as \\(1\\frac{1}{2}\\), but written in decimal form. The 1 is of course in the ones place, but the five is in a position called the <strong>tenths place<\/strong>. It\u2019s called the tenths place because 0.1 is one-tenth of 1!<\/p>\n<p>Numbers in decimal form can have more than one digit after the decimal, though. In fact, there could be dozens of digits after the decimal point! Usually, though, we are only concerned with the first few. As we just saw, the first digit to the right of the decimal point is called the tenths place. <\/p>\n<h3><span id=\"Hundredths_Place\" class=\"m-toc-anchor\"><\/span>Hundredths Place<\/h3>\n<p>\nThe second digit after the decimal is called the <strong>hundredths place<\/strong>, because 0.01 is equal to one one-hundredth of 1. <\/p>\n<h3><span id=\"Thousandths_Place\" class=\"m-toc-anchor\"><\/span>Thousandths Place<\/h3>\n<p>\nAnd the third digit after the decimal is called the thousandths place. It is very important to include the \u201cth\u201d when talking about digit names after a decimal because the \u201cth\u201d distinguishes them from the digit name to the left of the decimal!<\/p>\n<p>Let\u2019s do one more example. Label the digits in the number 18.725.<\/p>\n<p>We know that the first number, 1, is in the tens place and that the 8 is in the ones place, because these two numbers come before the decimal point. 7, 2, and 5 come after the decimal, so they are going to have positions in the tenths, hundredths, and thousandths places.<\/p>\n<p>I hope you found this lesson helpful!<\/p>\n<p>Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\">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;\">What is an example of place value?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Place value is a convenient way of separating the value of each digit in a number. An example of place value can be seen when working with money.<\/p>\n<p>For example, $45.86 consists of digits in the tens, ones, tenths, and hundredths place. When this value is split apart according to its place value, the amount becomes \\($40+$5+$\\frac{8}{10}+$\\frac{6}{100}\\).<\/p>\n<p>Place value is based on the base ten number system which is why digits increase or decrease by a factor of ten. <\/p>\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;\">What are tens and ones?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Tens and ones are represented by the first two digits to the left of the decimal point.<\/p>\n<p>For example, in the value 94.0, the 4 represents four groups of 1, and the 9 represents nine groups of 10. When four 1s and nine 10s are combined, the total value becomes \\(90+4=94\\).<\/p>\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;\">What is the ones place in a decimal? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The ones place is the digit that is directly to the left of the decimal point. For example, in the value 3.4, the digit 3 is in the ones place. In a number with no decimal point, the ones place is the digit farthest to the right.<\/p>\n<p>For example, in the value 459, the 9 is in the ones place because 459 is essentially 459.0. <\/p>\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;\">Why is there no &#8220;oneths&#8221; place?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There is not a \u201coneths\u201d place because digits to the right of the decimal point become smaller by a factor of ten. This means that moving from the ones place to the tenths place is the result of dividing 1 by 10, which is one-tenth, not &#8220;one-oneth.&#8221;<\/p>\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;\">Which place is the tenths place?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>In a decimal value, the first digit to the right of the decimal point is in the tenths place. For example, in the value 34.592, the digit 5 is in the tenths place. This 5 represents five tenths, or \\(\\frac{5}{10}\\).<\/p>\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;\">What is the definition of a tenth? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A tenth represents the fraction \u201cout of ten.\u201d In a decimal value like 3.4, this means three 1s and four tenths.<\/p>\n<p>Another way to look at 3.4 is \\(\\frac{3}{1}+\\frac{4}{10}\\). The tenths place is always the digit directly to the right of the decimal point.<\/p>\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;\">Where is the tens place in a number? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The tens place is always located two digits to the left of the decimal point. Remember, even whole numbers can be written with a decimal point. For example, 34 can be written as 34.0, which means that 3 is in the tens place. This 3 represents three groups of 10. In the decimal value 198.478, the second digit to the left of the decimal is 9. This means that the 9 represents nine groups of 10, or 90.<\/p>\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 many tens make a thousand?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The base ten number system is convenient because all digits moving to the left become 10 times as large, and all digits moving to the right become 10 times smaller. This means that all place values can be compared by a factor of ten.<\/p>\n<p>For example, tens are ten times as large as ones. Hundreds are ten times as large as tens. Thousands are ten times as large as hundreds.<\/p>\n<p>When making the jump from tens to thousands, we would need to multiply by 10 twice. So it would take 100 tens to make a thousand. For example, 1,000 is 100 times as large as 10.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"What_is_Place_Value_PDF\" class=\"m-toc-anchor\"><\/span>What is Place Value? PDF<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1363\" height=\"1768\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348.png\" class=\"attachment-full size-full\" alt=\"A chart explaining place value with visual aids, detailing how digits in numbers change in value based on their position, including examples and a QR code link for additional resources.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348.png 1363w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348-231x300.png 231w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348-789x1024.png 789w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348-768x996.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-15_100348-1184x1536.png 1184w\" sizes=\"auto, (max-width: 1363px) 100vw, 1363px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Place-Value.pdf\"><span id=\"Your_Place_Value_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Place Value PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Number_Place_Value_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Number Place Value 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 \/>\nWhat is 7,645 written in expanded form?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\\(7+6+4+5\\)<\/div><div class=\"PQ\"  id=\"PQ-1-2\">\\(76+45\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">\\(7{,}000+600+40+5\\)<\/div><div class=\"PQ\"  id=\"PQ-1-4\">\\(700+64+5\\)<\/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>To write a number in expanded form, write an addition problem that adds the value of each number.<\/p>\n<p>The digit 7 is in the thousands place, so it represents 7,000. The digit 6 is in the hundreds place, so it represents 600. The digit 4 is in the tens place, so it represents 40. The digit 5 is in the ones place, so it represents 5.<\/p>\n<p>Added together, this looks like \\(7,000+600+40+5 = 7{,}645\\).<\/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 \/>\nWhat is the place value of 9 in 293.76?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">Hundredths<\/div><div class=\"PQ\"  id=\"PQ-2-2\">Tenths<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">Tens<\/div><div class=\"PQ\"  id=\"PQ-2-4\">Hundreds<\/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>Place value names can be determined by their position in respect to the decimal point. The position to the left of the decimal point is the ones place. To the left of that is the tens place, and to the left of that is the hundreds place. <\/p>\n<p>The position to the right of the decimal point is the tenths place, and the one to the right of that is the hundredths place.<\/p>\n<p>Therefore, 9 is in the tens place.<\/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 \/>\nWhat is 12,643.57 in expanded form?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">\\(10,000+2,000+600+40\\) \\(+\\:3+\\frac{5}{10}+\\frac{7}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(12,000+643+\\frac{57}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-3\">\\(12,000+600+43+\\frac{57}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(12,643+\\frac{57}{100}\\)<\/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>To write a number in expanded form, write an addition problem that adds the value of each number.<\/p>\n<p>The digit 1 is in the ten-thousands place, so it represents 10,000. The digit 2 is in the thousands place, so it represents 2,000. The digit 6 is in the hundreds place, so it represents 600. The digit 4 is in the tens place, so it represents 40. The digit 3 is in the ones place, so it represents 3.<\/p>\n<p>The digit 5 is in the tenths place, so it represents \\(\\frac{5}{10}\\). The digit 7 is in the hundredths place, so it represents \\(\\frac{7}{100}\\).<\/p>\n<p>Added together, this looks like \\(10,000+2,000+600\\) \\(+\\:40+3+\\frac{5}{10}+\\frac{7}{100} = 12,643\\).<\/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 \/>\nWhat is the place value of 3 in 192.36?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">Tens<\/div><div class=\"PQ\"  id=\"PQ-4-2\">Ones<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-3\">Tenths<\/div><div class=\"PQ\"  id=\"PQ-4-4\">Hundredths<\/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>Place value names can be determined by their position in respect to the decimal point.<\/p>\n<p>The position to the left of the decimal point is the ones place. To the left of that is the tens place, and to the left of that is the hundreds place. The position to the right of the decimal point is the tenths place, and the one to the right of that is the hundredths place.<\/p>\n<p>Therefore, 3 is in the tenths place.<\/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 \/>\nWhat is the place value of 6 in 162,497,132.498?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">Ten-millions<\/div><div class=\"PQ\"  id=\"PQ-5-2\">Millions<\/div><div class=\"PQ\"  id=\"PQ-5-3\">Hundred-thousands<\/div><div class=\"PQ\"  id=\"PQ-5-4\">Ten-thousandths<\/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>The order of place value starting at the position left of the decimal and continuing to move left is: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions, ten-millions, and hundred-millions.<\/p>\n<p>Therefore, 6 is in the ten-millions place.<\/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\/fractions-decimals-and-percentages\/\">Return to Fractions, Decimals, and Percentages Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Fractions, Decimals, and Percentages Videos<\/p>\n","protected":false},"author":1,"featured_media":183197,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-13216","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-additional-topics","7":"page_category-decimals-videos","8":"page_category-math-advertising-group","9":"page_category-video-pages-for-study-course-sidebar-ad","10":"page_type-video","11":"content_type-fact-sheet","12":"content_type-practice-questions","13":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/13216","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=13216"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/13216\/revisions"}],"predecessor-version":[{"id":281711,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/13216\/revisions\/281711"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/183197"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=13216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}