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Decimals Worksheet
Help your students prepare for their Maths GCSE with this free decimals worksheet of 44 questions and answers
- Section 1 of the decimals worksheet contains 36 skills-based decimals questions, in 3 groups to support differentiation
- Section 2 contains 4 applied decimals questions with a mix of word problems and deeper problem solving questions
- Section 3 contains 4 foundation and higher level GCSE exam style decimals questions
- Answers and a mark scheme for all decimals questions are provided
- Questions follow variation theory with plenty of opportunities for students to work independently at their own level
- All division problems created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Decimals at a glance
If a number has a part that is not whole, it is called a decimal number. We write the whole number part, followed by a decimal point, then tenths, hundredths, thousandths, and so on. It is important that students can recognise the decimal place value of each column on a place value chart – for example, know that 0.4 represents 4 tenths. Ordering decimals also requires students to apply this knowledge of place value.
Decimal arithmetic is similar to whole number arithmetic. Decimal addition follows the same method as integer addition, as does decimal subtraction. When multiplying decimals, we use powers of ten to convert our calculation into a whole-number multiplication, then reverse this process to get our decimal answer.
There are a couple of different methods for decimal division. If it is just the dividend that is a decimal, with an integer divisor, the standard algorithm for short or long division can be used. We have to ensure the decimal point is placed in the quotient (answer) directly above its position in the dividend.
If the divisor is a decimal, we write the division as a fraction and use the concept of equivalent fractions to convert to a whole-number calculation.
Looking forward, students can then progress to additional number worksheets, for example a percent worksheet, a rounding decimals worksheet or an improper fractions and mixed numbers worksheet.
For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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