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Standard Form Worksheet
Help your students prepare for their Maths GCSE with this free comparing Standard Form worksheet of 44 questions and answers
- Section 1 of the Standard Form worksheet contains 12 skills-based Standard Form questions, in 3 groups to support differentiation
- Section 2 contains 4 applied Standard Form questions with a mix of worded problems and deeper problem solving questions
- Section 3 contains 4 foundation and higher level GCSE exam style Standard Form questions
- Answers and a mark scheme for all Standard Form questions
- Follows variation theory with plenty of opportunities for students to work independently at their own level
- All questions created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.
Standard form at a glance
Standard form, or standard index form, is a simple way of writing very large numbers or very small numbers. To write a number in standard form, we write the number as a decimal between 1 and 10, multiplied by a power of 10. We call numbers that are not written in standard form ordinary numbers.
When converting numbers to standard form, we write any significant figures as a decimal between 1 and 10. We then need to maintain the place value of the number by multiplying the decimal by a power of 10. For example let’s look at the number 43000. The significant figures here are 4 and 3 so the decimal is 4.3. To maintain the place value of the number, we need to multiply 4.3 by 10000 or 104. Therefore 43000 can be written as 4.3×104. For very small numbers, the power of 10 will be negative.
We can convert standard form numbers back to ordinary numbers by multiplying the decimal by the power of 10. We can multiply and divide numbers written in standard form directly but to add or subtract numbers written in standard form it is best to convert them back to ordinary numbers.
Looking forward, students can then progress to additional number worksheets, for example a fractions worksheet or a rounding 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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