Free Interactive Math Tool

Decimal Place Value Practice

Learn how each digit's location determines its value, identify tenths, hundredths, and thousandths, connect decimal values with fractions, and write decimals in expanded form.

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New to Decimal Place Value?

Learn How Decimal Place Value Works First

Learn how each position to the right of the decimal point represents tenths, hundredths, thousandths, and smaller values, and how a digit’s place determines its value.

Read the Decimal Place Value Guide

How It Works

Understand Decimal Place Value Step by Step

Identify the highlighted digit, name its place, determine its value, and connect the decimal to fraction and expanded forms.

1

Identify the Digit

Find the highlighted digit in the decimal number.

2

Name the Place

Decide whether the digit is in the ones, tenths, hundredths, or thousandths place.

3

Write the Digit’s Value

Express the highlighted digit’s value as a decimal and as a fraction.

4

Build Expanded Form

Show how every digit contributes to the value of the complete decimal number.

Interactive Practice

Decimal Place Value

Work through each step to understand the value of every digit in a decimal number.

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Problems 0
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Study the highlighted digit and work through the four steps below.

Step 1

Name the Place Value

Which place contains the highlighted digit?

Remember

Decimal Place Value Rules

Each position has a value ten times smaller than the position immediately to its left.

The Decimal Point Separates Places

Whole-number places are to the left of the decimal point, while fractional places are to the right.

4.372

Tenths Come First

The first digit to the right of the decimal point is in the tenths place.

0.4 = 4/10

Hundredths Come Next

The second digit to the right of the decimal point is in the hundredths place.

0.07 = 7/100

Thousandths Are Smaller

The third digit to the right of the decimal point is in the thousandths place.

0.005 = 5/1000

Place Value Chart

Read Decimal Places From Left to Right

The value of a digit depends on both the digit itself and its position in the number.

Hundreds 100
Tens 10
Ones 1
Decimal .
Tenths 1/10
Hundredths 1/100
Thousandths 1/1000

Example

4.372

The 3 is worth 0.3, the 7 is worth 0.07, and the 2 is worth 0.002.

Keep Learning

Learn More About Decimal Place Value

Review decimal places, digit values, decimal fractions, expanded form, leading zeros, trailing zeros, and worked examples in the complete guide.

Read the Decimal Place Value Guide