Discia GCSE Maths › Number › Standard Form

Standard Form worksheet

6 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

6 questions 18 marks Sheet 1
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  1. 3 marks
    (a)

    Write 490,000 in standard form.

    (b)

    Write \(1.8 \times 10^{ -2 }\) as an ordinary number.

    (c)

    Write \(0.0078\) in standard form.

  2. 2 marks

    Write these numbers in order of size. Start with the smallest.

    \({d1m:dec} \times 10^{ {d1e} } \qquad {d2m:dec} \times 10^{ {d2e} } \qquad {d3m:dec} \times 10^{ {d3e} } \qquad {d4m:dec} \times 10^{ {d4e} }\)

  3. 4 marks
    (a)

    Find the value of \(8 \times 10^{ 5 } + 1.4 \times 10^{ 4 }\)

    Give your answer in standard form.

    (b)

    Find the value of \(4 \times 10^{ 6 } - 9 \times 10^{ 4 }\)

    Give your answer in standard form.

  4. 3 marks
    (a)

    Write 93,000 in standard form.

    (b)

    Write \(4.8 \times 10^{ -2 }\) as an ordinary number.

    (c)

    Write \(0.087\) in standard form.

  5. 2 marks

    Write these numbers in order of size. Start with the smallest.

    \({d1m:dec} \times 10^{ {d1e} } \qquad {d2m:dec} \times 10^{ {d2e} } \qquad {d3m:dec} \times 10^{ {d3e} } \qquad {d4m:dec} \times 10^{ {d4e} }\)

  6. 4 marks
    (a)

    Work out \(2.5 \times 10^{ 5 } + 6 \times 10^{ 4 }\)

    Give your answer in standard form.

    (b)

    Work out \(9 \times 10^{ 4 } - 8 \times 10^{ 2 }\)

    Give your answer in standard form.

Answers

  1. (a) \(4.9 \times 10^{ 5 }\)
    (b) \(0.018\)
    (c) \(7.8 \times 10^{ -3 }\)
  2. \({ma:dec} \times 10^{ {e0} }, \; {mb:dec} \times 10^{ {e0} }, \; {mc:dec} \times 10^{ {e3} }, \; {md:dec} \times 10^{ {e4} }\)
  3. (a) \(8.14 \times 10^{ 5 }\)
    (b) \(3.91 \times 10^{ 6 }\)
  4. (a) \(9.3 \times 10^{ 4 }\)
    (b) \(0.048\)
    (c) \(8.7 \times 10^{ -2 }\)
  5. \({ma:dec} \times 10^{ {e0} }, \; {mb:dec} \times 10^{ {e0} }, \; {mc:dec} \times 10^{ {e3} }, \; {md:dec} \times 10^{ {e4} }\)
  6. (a) \(3.1 \times 10^{ 5 }\)
    (b) \(8.92 \times 10^{ 4 }\)

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