Converting between standard and Normal form

Sample Converting between standard and Normal form questions

A few of the 36 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 1-2
   Write 50,000 in standard form.
   Show the worked solution

   Write the number as a value between 1 and 10, multiplied by a power of 10: $5$ is already between 1 and 10.

   Count how many places the decimal point moves from 5.0 to 50,000: 4 places. M1

   $50,000 = 5 \times 10^{4}$

What are the common mistakes in Converting between standard and Normal form?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses a power of ten that is off by one from the correct value

  Used a power of 10 one too large - miscounted the number of places the decimal point moves

• Gives a coefficient outside the range 1 to 10 when writing a number in standard form

  Wrote a coefficient that isn't between 1 and 10 - kept an extra digit in front instead of moving the decimal point all the way

• Mishandles the sign when applying a negative index

  Moved the decimal point to the right instead of the left - a negative index means the number is smaller than 1, so the point moves left

Quick answers about Converting between standard and Normal form

How many Converting between standard and Normal form practice questions are there?

There are 36 self-marking GCSE and IGCSE Maths questions on Converting between standard and Normal form, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Converting between standard and Normal form?

No. You can start practising Converting between standard and Normal form straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.