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8 (a) Write 7.97 × 10⁵ as an ordinary number - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 1

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8 (a) Write 7.97 × 10⁵ as an ordinary number. (b) Work out the value of (2.52 × 10⁻⁵) + (4 × 10⁻⁷) Give your answer in standard form.

Worked Solution & Example Answer:8 (a) Write 7.97 × 10⁵ as an ordinary number - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 1

Step 1

Write 7.97 × 10⁵ as an ordinary number.

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Answer

To convert the number from scientific notation to an ordinary number, we multiply the coefficient (7.97) by 10 raised to the power of 5:

7.97imes105=7970007.97 imes 10^5 = 797000

Thus, the ordinary number is 797000.

Step 2

Work out the value of (2.52 × 10⁻⁵) + (4 × 10⁻⁷)

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Answer

First, we need to express both terms in standard form so they can be added together. We can rewrite 4 × 10⁻⁷ in terms of 10⁻⁵:

4imes10−7=0.04imes10−54 imes 10^{-7} = 0.04 imes 10^{-5}

Now we can add the two amounts:

(2.52imes10−5)+(0.04imes10−5)=(2.52+0.04)imes10−5(2.52 imes 10^{-5}) + (0.04 imes 10^{-5}) = (2.52 + 0.04) imes 10^{-5}

Calculating the addition gives:

2.56imes10−52.56 imes 10^{-5}

Therefore, the final answer in standard form is 2.56 × 10⁻⁵.

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