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Work out (13.8 × 10²) × (5.4 × 10³) Give your answer as an ordinary number. - Edexcel - GCSE Maths - Question 7 - 2017 - Paper 3

Question 7

Work out (13.8 × 10²) × (5.4 × 10³) Give your answer as an ordinary number.

Worked Solution & Example Answer:Work out (13.8 × 10²) × (5.4 × 10³) Give your answer as an ordinary number. - Edexcel - GCSE Maths - Question 7 - 2017 - Paper 3

Step 1

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Answer

First, multiply the coefficients: $13.8 \times 5.4 = 74.52$ .

Step 2

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Answer

Next, add the exponents of the powers of ten: $10^2 \times 10^3 = 10^{2+3} = 10^5$ .

Step 3

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Answer

Now, combine the results from the previous steps: $74.52 \times 10^5$ .

Step 4

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Answer

Convert to an ordinary number: $74.52 \times 10^5 = 7452000$ .

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