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Extension: measurement with decimals (Grade 6 work)

Tenths, hundredths and the decimal comma; comparing and calculating with decimals. From one unit to another: multiply or divide by 10, 100 or 1 000. 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.

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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.
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Converting units

QuantityFact
length10 mm = 1 cm; 100 cm = 1 m; 1 000 m = 1 km
mass1 000 g = 1 kg; 1 000 kg = 1 t
capacity1 000 ml = 1 ℓ
time60 s = 1 min; 60 min = 1 h
Rule

Big → small: multiply. Small → big: divide. 4,2 km = 4 200 m; 750 g = 0,75 kg.

Meerkat tip

With decimals: × 1 000 moves the comma three places to the right.

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Remember this and test yourself

Remember this: your summary
  • After the comma: tenths, hundredths, thousandths.
  • Big to small: multiply.
  • ½ = 0,5; ¼ = 0,25; ¾ = 0,75.
  • Small to big: divide.
  • Compare tenths first, then hundredths.
  • Know the numbers: 10, 100, 1 000, 60.

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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Read the question and the answer. Is the answer right? Tap True or False.

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