$5 \times 10^{6} + 3 \times 10^{5} = ?$ (in standard form)

$5 \times 10^{6} + 3 \times 10^{5} = ?$ (in standard form)
  1. $8 \times 10^{11}$
  2. $5.3 \times 10^{6}$
  3. $5.3 \times 10^{5}$
  4. $5.3 \times 10^{11}$

Solution

Convert to common power: $3 \times 10^{5} = 0.3 \times 10^{6}$. So $5 \times 10^{6} + 0.3 \times 10^{6} = 5.3 \times 10^{6}$.

Asked in: IMO

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