Practice Decimals
Decimal numbers extend place value to tenths, hundredths and smaller parts.
They help you calculate with money, lengths and other measurements.
Exercises with solutions
The first digit after the point is tenths, the second hundredths, the third thousandths. When adding and subtracting, write the numbers so the decimal points line up exactly. When multiplying, calculate without the point first and then count the decimal places of both numbers.
Exercise 1
Write 3/4 as a decimal.
Show solution and working
0.75
Expand to hundredths: 3/4 = 75/100. As a decimal that is 0.75.
Exercise 2
Calculate 2.4 + 0.85.
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3.25
Write 2.40 under 2.4 so both numbers have two decimal places: 2.40 + 0.85 = 3.25.
Exercise 3
Calculate 5.6 − 1.75.
Show solution and working
3.85
Pad it to 5.60 − 1.75 = 3.85. The decimal points must line up exactly.
Exercise 4
Calculate 0.3 · 0.4.
Show solution and working
0.12
Calculate without the point first: 3 · 4 = 12. Together the two numbers have two decimal places, so the result is 0.12.
Common mistake
Putting the decimal point in immediately when multiplying. Calculate without it first, then add up the decimal places of both factors. When adding, a padding zero is often missing: writing 2.40 under 2.4 prevents place-value errors.
Free maths worksheets with worked solutions
Percentages: free German worksheet with solutions (PDF)
Foundations from Grade 6: questions 1–6. Questions 7–10 extend the foundations.
PDF and questions in German
Maths by grade
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