Softonic

Place Value Chart

Build a place value chart

Choose the first and last place, then enter a non-negative decimal. The chart keeps entered zeros and fills the remaining selected places with zeros.

Step 1 / 3
Range

The range controls the chart columns and the maximum digits accepted on each side of the decimal point.

Next

Place each digit of a non-negative decimal in its correct base-ten column. Choose a compact range for classroom practice or extend the chart from billions through thousandths. The chart accepts several commonly used Unicode digit sets, keeps leading and trailing zeros visible, and marks which digits came from the entered notation. Use it to check decimal reading, expanded form, placeholder zeros, or the relationship between adjacent powers of ten.

How to make a place value chart

  1. 1

    Choose the chart range

    Set the highest whole-number place and the smallest decimal place that the chart should show.

  2. 2

    Enter the decimal

    Type a non-negative number without grouping, a sign, spaces, or exponent notation.

  3. 3

    Read or print the chart

    Follow the powers of ten across the table and distinguish entered digits from placeholder zeros.

Reading a decimal by powers of ten

In a base-ten place value system, moving one column to the left multiplies a place by 10, while moving one column to the right divides it by 10. Common Core standard 5.NBT.A.1 states this relationship directly. The same standards ask learners to read, write, and compare decimals through thousandths. Their expanded-form example connects 347.392 with hundreds, tens, ones, tenths, hundredths, and thousandths.

OpenStax Prealgebra 2e explains that decimal place names correspond to fractions whose denominators are powers of ten: 0.1 is one tenth, 0.01 is one hundredth, and 0.001 is one thousandth. Its place value guidance also emphasizes filling empty positions with placeholder zeros.

For example, enter 0012.030 with the range set from millions to thousandths. The normalized entry remains 0012.030. In the relevant part of the chart, the digits align as follows:

Place Tens Ones Tenths Hundredths Thousandths
Digit 1 2 0 3 0
Place value 10 1 1/10 1/100 1/1000

The two leading zeros and the final trailing zero do not change the mathematical value, but preserving them can matter when reviewing written notation or recorded precision. Highlighting distinguishes digits supplied by the user from zeros that the selected chart adds as placeholders.

Input boundaries and notation

The chart deliberately avoids number conversion through floating-point arithmetic. It maps normalized digit strings directly into columns, so a trailing zero is not discarded. It accepts ASCII, Arabic-Indic, Persian, Thai, and fullwidth digits. The page uses a period as its decimal mark in English and preserves that mark in the chart and navigation state; supported Unicode digits are normalized to 0–9. Unicode’s Locale Data Markup Language number specification documents that numbering systems and number symbols, including decimal and grouping separators, vary by locale.

Grouping marks are not accepted because the same punctuation can mean a decimal in one locale and grouping in another. Mixed separators, negative or positive signs, spaces, exponent notation, missing digits around a decimal mark, too many fractional places, and numbers wider than the selected range are rejected rather than guessed or rounded. Choose a wider range or correct the notation when an input does not fit.

Frequently Asked Questions

Highlighted cells correspond to digits present in the entered notation, including leading zeros and zeros at the end of the decimal part. Unhighlighted zeros are placeholders added to complete the selected chart range.

The English page accepts a period as its decimal mark and keeps it in the displayed entry. It does not accept grouping marks or mixed separators because those forms can be interpreted differently across locales. Enter the digits without thousands grouping.

No. The chart maps the notation exactly and never rounds or truncates a valid digit string. If the chosen range ends at hundredths, a number with a thousandths digit is rejected until you choose a range that includes thousandths.

No outside data service is used. The chart is calculated on the page. In the optional step-by-step view, the chosen range and number appear in the page address so Back and reload can restore them, so do not treat that address as private.

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