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14. (a) Write 543000 in standard form - OCR - GCSE Maths - Question 14 - 2017 - Paper 1

Question 14

14. (a) Write 543000 in standard form. (b) Write 6.3 × 10^−2 as an ordinary number. (c) Pierre is given this question. Work out. 61000 × 4000. Give your answer in... show full transcript

Worked Solution & Example Answer:14. (a) Write 543000 in standard form - OCR - GCSE Maths - Question 14 - 2017 - Paper 1

Step 1

(a) Write 543000 in standard form.

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Answer

To convert the number 543000 into standard form, we express it as a product of a number between 1 and 10 and a power of ten. The number can be written as:

$5.43 imes 10^5$

Step 2

(b) Write 6.3 × 10^−2 as an ordinary number.

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Answer

To convert 6.3 × 10^−2 into an ordinary number, we shift the decimal point 2 places to the left. This results in:

$6.3 imes 10^{-2} = 0.063$

Step 3

(c) Work out. 61000 × 4000. Give your answer in standard form.

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Answer

First, calculate the product of 61000 and 4000:

$61000 imes 4000 = 244000000$

Next, convert 244000000 into standard form. We express it as:

$2.44 imes 10^8$

Now, examining Pierre's answer of 24.4 × 10^7, we see he is incorrect. Although the numerical part is correct, it must be adjusted to standard form. The correct answer in standard form should indeed be:

$2.44 imes 10^8$

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