Help your students prepare for their Maths GCSE with this free decimals worksheet of 44 questions and answers
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.
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Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensure a personalised revision programme that raises grades and boosts confidence.