$(2 \times 10^{3}) \times (3 \times 10^{4}) = ?$

$(2 \times 10^{3}) \times (3 \times 10^{4}) = ?$
  1. $6 \times 10^{7}$
  2. $5 \times 10^{7}$
  3. $6 \times 10^{12}$
  4. $6 \times 10^{1}$

Solution

Multiply mantissas, add exponents: $(2 \cdot 3) \times 10^{3+4} = 6 \times 10^{7}$.

Asked in: IMO

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