Decimals Practice
Decimals use place value to write whole numbers and parts of a whole in tenths, hundredths and thousandths. Choose a skill below to practice notation, comparison, number lines, rounding, adding, subtracting, multiplying or fraction conversions.
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Place value, notation & powers of 10
A digit’s place tells you its value. Tenths, hundredths and thousandths let you name amounts in different units and write decimals as numerals, number names or expanded form. Multiplying or dividing by powers of 10 changes what each digit is worth.
| Ones | Tenths | Hundredths | Thousandths |
|---|---|---|---|
| 3 | 0 | 5 | 2 |
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Decimal Place Value
Identify decimal digits and trade equivalent counts between tenths, hundredths and thousandths.
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Read & Write Decimals
Write a decimal from its number name, or choose its number name or expanded form.
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Multiply & Divide by Powers of 10
Multiply or divide whole numbers and decimals by 10, 100 or 1000.
Compare, order, locate & round
Comparing and ordering describe how decimal values relate. A number line shows where those values lie, and rounding names a nearby value at the place the question asks for. Place value connects all four skills.
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Comparing Decimals
Compare two decimals through thousandths using <, = or >.
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Ordering Decimals
Arrange three different decimals from least to greatest or greatest to least.
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Decimals on a Number Line
Read the marked value on lines with tenths, hundredths or thousandths steps.
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Rounding Decimals
Round to the nearest whole number, tenth or hundredth named in the question.
Add, subtract & multiply
Addition and subtraction combine matching places, so their decimal points line up. Multiplication combines place values differently; its decimal points do not need to line up. Tenths times tenths make hundredths, and an exact product can need more decimal places than either factor.
3.8 plus 2.65 is 6.45, written as a column problem with the decimal points lined up. 3.8 is written as 3.80. A zero added at the end does not change its value. The tenths column makes 14 tenths, so 1 is regrouped into the ones column.
Zeros added at the end do not change the value.
The small 1 above a column is the regrouped 1.
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Adding Decimals
Add numbers with up to two decimal places, including regrouping and whole numbers.
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Subtracting Decimals
Subtract numbers with up to two decimal places, including regrouping. Differences are positive.
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Multiplying Decimals
Multiply decimals by whole numbers or decimals. Exact products can need up to four decimal places.
Fractions & decimals
Fractions and decimals can name the same value. Tenths and hundredths connect decimal places to fraction denominators. The two practices convert in opposite directions, with different starting numbers: familiar fractions in one, selected decimals below 1 in the other.
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Fraction to Decimal
Convert fractions below 1 over 10 or 100, plus halves, fourths and fifths, to exact decimals.
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Decimal to Fraction
Write selected tenths and hundredths below 1 as fractions in simplest form.
Grade-level guidance
Curriculum timing varies; these are skill-based practices rather than separate grade modes.
- Grade 4 foundations
- In U.S. Common Core, Grade 4 connects tenths and hundredths with fractions and compares decimal values.
- Grade 5 extensions
- Grade 5 extends place-value work to thousandths and includes powers of 10, rounding, and adding, subtracting and multiplying decimals.