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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.
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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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