The worksheets themselves are in German – just as in class. The editor is only available in German so far.
Understanding numbers · typical for Grades 5 and 6
Decimals – worksheets to print
Change fractions into decimals and back, compare decimals, multiply and divide them by 10, 100, 1000.
- Choose the number of tasks and the difficulty yourself
- With an answer sheet and, if you like, a QR code to the answers
- At three levels (★ to ★★★) and as group A and B
- As a single worksheet or as a task on a mixed worksheet
Decimals: explained simply
Fractions and decimals can describe the same amount. Convert between them, compare decimals, or multiply and divide by 10, 100 and 1,000.
How to work it out
- The places after the decimal point are tenths, hundredths and thousandths: 0.25 = 25/100 = 1/4.
- Compare the whole-number parts first, then each decimal place. Trailing zeros do not change the value: 0.5 = 0.50.
An example, step by step
Which is greater: 0.7 or 0.65?
- Write both in hundredths: 0.70 and 0.65.
- Compare 70 hundredths with 65 hundredths.
- 70 hundredths is more. So 0.7 > 0.65.
Understand other variations
Multiply and divide by 10, 100 and 1,000
Multiplying by 10, 100 or 1,000 moves the decimal point one, two or three places right. Dividing moves it left. For example: 2.35 · 10 = 23.5 and 2.35 : 10 = 0.235. Add zeros where needed.
Your turn
Write 3/4 as a decimal.
Show the answer and method
3/4 = 75/100 = 0.75.
Ready-made worksheets: Decimals
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