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5 (a) Write 0.00386 in standard form. - OCR - GCSE Maths - Question 5 - 2023 - Paper 4

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5 (a) Write 0.00386 in standard form.

Worked Solution & Example Answer:5 (a) Write 0.00386 in standard form. - OCR - GCSE Maths - Question 5 - 2023 - Paper 4

Step 1

Write 0.00386 in standard form.

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Answer

To express the number 0.00386 in standard form, we first need to identify the significant figures and the position of the decimal point.

  1. The number 0.00386 can be rewritten as 3.86 by moving the decimal point three places to the right.
  2. Since we moved the decimal three places, we multiply by 10 raised to the power of -3 because the original number is less than 1.

Thus, the standard form of 0.00386 is:

3.86×1033.86 \times 10^{-3}

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