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Decimal fractions

Tenths, hundredths and the decimal comma; comparing and calculating with decimals. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Decimal fractions

The decimal comma separates the whole number from the parts. After the comma: tenths, hundredths, thousandths.

FractionDecimal
½0,5
¼0,25
¾0,75
¹⁄₁₀0,1
³⁄₁₀₀0,03
Watch out

0,5 is bigger than 0,45: compare tenths first (5 tenths vs 4 tenths). More digits after the comma do not make a number bigger.

Place value: in 4,37 the 3 is worth 3 tenths (0,3) and the 7 is worth 7 hundredths (0,07). From small to big: 0,09; 0,35; 0,4; 0,5. Counting in hundredths: 0,97; 0,98; 0,99; 1,00; 1,01.

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Calculating with decimals

  • Add and subtract: line up the commas: 3,5 + 1,25 = 4,75.
  • × 10: the comma moves one place right: 3,45 × 10 = 34,5.
  • ÷ 10: the comma moves one place left: 3,45 ÷ 10 = 0,345.
  • × 100: the comma moves two places right: 3,45 × 100 = 345; ÷ 100: two places left: 45 ÷ 100 = 0,45.
  • Multiply 0,3 × 0,2: 3 × 2 = 6; two digits after the comma → 0,06.
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Three decimal places

  • Thousandths: 3,147 = 3 + 0,1 + 0,04 + 0,007.
  • Round to 2 decimal places: look at the third digit. 3,147 → 3,15; 6,082 → 6,08.
  • Multiply: 2,345 × 3 = 7,035. 0,4 × 0,3 = 0,12: count the decimal places in the question (1 + 1 = 2): the answer has that many places.
  • Divide by a whole number: 4,326 ÷ 3 = 1,442. Check with rounding or a calculator.
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Remember this and test yourself

Remember this: your summary
  • After the comma: tenths, hundredths, thousandths.
  • ½ = 0,5; ¼ = 0,25; ¾ = 0,75.
  • Compare tenths first, then hundredths.
  • Line up the commas to add.
  • × 10: comma right; ÷ 10: comma left.

Write these points in your book. Read them again the night before the test.

Memory trick

Line up the commas, then add like normal.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Test yourself · Part 2

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