9
(a) Write 6.75 x 10^4 as an ordinary number - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 3
Question 9
9
(a) Write 6.75 x 10^4 as an ordinary number.
(b) Work out
2.56 x 10^6 x 4.12 x 10^{-3}
1.6 x 10^2
Give your answer in standard form.
Worked Solution & Example Answer:9
(a) Write 6.75 x 10^4 as an ordinary number - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 3
Step 1
Write 6.75 x 10^4 as an ordinary number.
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Answer
To convert the number from scientific notation to an ordinary number, we multiply 6.75 by 10 raised to the power of 4. This means we move the decimal point in 6.75 four places to the right:
6.75 x 10^4 = 67500.
Step 2
Work out 2.56 x 10^6 x 4.12 x 10^{-3} / 1.6 x 10^2.
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Answer
First, we can multiply the coefficients and add the exponents of the powers of ten:
Multiply the coefficients:
2.56 * 4.12 = 10.5632.
Now for the powers of ten:
10^6 * 10^{-3} = 10^{6 - 3} = 10^3.
Next, we divide by 1.6 x 10^2:
10.5632 / 1.6 = 6.601.
Finally, combine the results:
(6.601 x 10^3) / (1 x 10^2) = 6.601 x 10^{3 - 2} = 6.601 x 10^1.
Thus, the answer in standard form is 6.601 x 10^1.
