Number 2
4 marks · HardEvaluate (4.8 \times 10^{-3}) \times (6.2 \times 10^{5}) and give your answer in standard form.
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2.976 × 10^{3} (±0.1)
Also accept: 2.98 × 10^3
Common mistakes: Adding instead of multiplying the coefficients; Adding the exponents instead of following the multiplication rules
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Marking points
M1 · 1 mark · Multiplies the numbers in decimal: 4.8 × 6.2
M2 · 1 mark · Adds the indices: -3 + 5 = 2
A1 · 1 mark · Writes intermediate answer 29.76 × 10^2 correctly.
A2 · 1 mark · Writes the final answer as 2.976 × 10^{3}, in correct standard form.
Worked solution
(4.8 × 10^{-3}) × (6.2 × 10^{5}) = (4.8 × 6.2) × 10^{-3+5}
Convert to standard form: 29.76 × 10^{2} = 2.976 × 10^{3}