Amara's corner shop takes in two separate deliveries of tinned beans in one week, of \(3 \times 10^{4}\) tins and \(5 \times 10^{3}\) tins. Work out the tot...
Question 1 Report
Amara's corner shop takes in two separate deliveries of tinned beans in one week, of \(3 \times 10^{4}\) tins and \(5 \times 10^{3}\) tins. Work out the total number of tins delivered, giving your answer in standard form. (2)
Answer Details
Standard-form numbers with different powers of \(10\) cannot be added directly; only their equivalent ordinary numbers can. [1 mark]
Converting first: \(3 \times 10^{4} = 30\,000\) and \(5 \times 10^{3} = 5\,000\). Adding these gives \(30\,000 + 5\,000 = 35\,000\), which in standard form is \(3.5 \times 10^{4}\). [1 mark]
A common error is to add the leading values directly (\(3 + 5 = 8\)) without first matching the powers of \(10\); this only works when the powers are already equal.
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