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Place Value Worksheets
Make place value worksheets: value of a digit, name the place, expanded and standard form, base-ten blocks, up to millions and hundredths. Free, printable.
Name: ____________________ Date: ______________
Answer key
k5print.com
A place value worksheet generator makes printable sheets that ask children to find the value of a digit, name its place, and write numbers in expanded form and standard form. This one makes place value worksheets from tens to millions, with underlined digits, expanded form, base-ten block pictures and decimals. It runs in your web browser, so nothing is uploaded. It is free, and no account or sign-up is needed.
You choose the number size, whether the numbers have decimal places, and how many questions appear. The sheet preview updates as soon as a setting changes. An answer key can print on its own page after the worksheet. Use it for tens and ones worksheets with young learners, or for larger numbers and decimal place value sheets for older students.
How to use the place value worksheet generator
- Type a title in Title on the sheet, or leave it as Place Value.
- Tick the question types you want. Value of the underlined digit, Which place is the digit in and Write in expanded form are on by default. Standard form from expanded form and Base-ten blocks picture are off by default, so tick them if you want them.
- Pick a Number size from 2 digits (tens) up to 7 digits (millions). The default is 4 digits (thousands).
- Set Decimal places to None (whole numbers), Tenths (0.1) or Hundredths (0.01).
- Choose how many questions you want under Questions: 6, 8, 10, 12, 15 or 18. The default is 12.
- Leave Include answer key ticked to print answers on a separate page, or untick it to leave them off.
- Check the preview. It updates as you change settings.
- Press Print or save as PDF. Set the paper size to US Letter or A4 before you print. The browser’s print dialog can also save a PDF.
The sheet groups questions by type, with a short instruction above each group. To get a different set with the same settings, press New worksheet. Each sheet has a short worksheet code shown under the buttons. Reset settings restores the defaults. The page address stores your settings, so a bookmarked or shared link opens the same sheet again.
What is place value, with an example?
Place value is the amount a digit is worth because of where it sits in a number. In 5,318, the 3 is in the hundreds place, so its value is 300, not 3. Each place is ten times the place to its right: ones, tens, hundreds, then thousands, ten thousands, hundred thousands and millions.
The pattern of ones, tens and hundreds repeats inside each group of three digits separated by a comma. With decimals on, the places continue past the decimal point as tenths and hundredths. In 3.46, the 6 is in the hundredths place, so its value is 0.06.
Children often write 3 when asked for the value of the underlined 3 in 5,318, or they write “hundreds” when the question wants a number. This sheet puts value questions and place questions side by side, so children must decide each time whether they need a number or a name.
What is expanded form?
Expanded form writes a number as the sum of the value of each digit. For example, 4,306 = 4,000 + 300 + 6. Standard form is the ordinary way of writing the number, so the reverse question asks you to add up the terms: 2,000 + 50 + 9 = 2,059.
A place with nothing in it does not need a term. The expanded form 4,000 + 300 + 6 is correct. Writing 4,000 + 300 + 0 + 6 shows the child is copying digits rather than thinking about values. Given 5,000 + 60 + 2, a child who writes the digits in order gets 562, which is wrong. Ask them to read the first term aloud: “five thousand”.
Base-ten block pictures show the same idea. Flats stand for hundreds, rods for tens and cubes for ones. A number such as 305 has no rods, so a child who writes 35 has skipped the empty tens place. Counting the blocks in groups makes that easy to discuss.
For example, in 4,306 the 3 is in the hundreds place, so its value is 300, and the 0 shows there are no tens.
Questions teachers and parents ask
Can I make decimal place value worksheets?
Yes. Set **Decimal places** to Tenths (0.1) or Hundredths (0.01). The place names then include tenths and hundredths, so read the "ths" endings clearly when you check answers. Fifth grade standards go on to thousandths, but this generator stops at hundredths.
Which settings suit each grade?
Kindergarten: 2 digits with block pictures, as an extension only. 1st grade: 2 digits with block pictures, value of the underlined digit and place (tens or ones). 2nd grade: 3 digits with all five question types. 3rd grade: 3 or 4 digits, mixing value, place and expanded form. 4th grade: 5 to 7 digits, adding tenths or hundredths once decimals are taught. 5th grade: 4 to 7 digits with hundredths, with expanded and standard form together.
How do you explain place value to a child?
Before they write anything, have the child read each number in words, such as "five thousand, three hundred eighteen". A child who can do that usually finds the underlined digit's value without trouble. Move up one digit at a time, rather than going from 4 digits to 7 at once, so they can see the pattern repeat.
Are the answers checked?
Yes. The value of each underlined digit is worked out from its position and again by arithmetic, and the two must agree. Each expanded form is added back up to check it equals the original number. Any question that fails a check is removed before the sheet is shown, and no number appears twice on a sheet.
Do I need an account to print a worksheet?
No. The tool runs in your browser, nothing is uploaded, and it is free with no sign-up. You can print directly or use the browser's print dialog to save a PDF.
More tools
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- Addition worksheetsuse these after place value to practice adding numbers with regrouping.Open
- Fractions worksheetsuseful when you move from whole numbers to tenths and hundredths.Open
- Math flash cardsshort quick-fire practice for number facts and mental maths.Open
- Telling time worksheetspractice reading clocks, which also uses tens and ones.Open
- Skip counting worksheetspractice counting in tens, fives and other steps to build place value patterns.Open
Fonts and other open-source parts used by these tools are listed on the credits page.