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(a) Write 0.00562 in standard form - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 2

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(a) Write 0.00562 in standard form. (b) Write 1.452 x 10³ as an ordinary number.

Worked Solution & Example Answer:(a) Write 0.00562 in standard form - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 2

Step 1

Write 0.00562 in standard form.

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Answer

To convert 0.00562 into standard form, we express it as a number between 1 and 10 multiplied by a power of 10. Here, we can write:

0.00562=5.62×1030.00562 = 5.62 \times 10^{-3}

This is because we shift the decimal point three places to the right, indicating a negative exponent.

Step 2

Write 1.452 x 10³ as an ordinary number.

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Answer

To convert the number in standard form, 1.452×1031.452 \times 10^3, into an ordinary number, we multiply 1.452 by 1000:

1.452×103=14521.452 \times 10^3 = 1452

Thus, the ordinary number representation is 1452.

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