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complete the equation. 0.037 × ? = 37. the options are 10², 10³, 10⁴, 1…

Question

complete the equation. 0.037 × ? = 37. the options are 10², 10³, 10⁴, 10⁵.

Explanation:

Step1: Let the missing power of 10 be \( n \), so the equation is \( 0.037\times10^{n}=37 \).

Step2: Solve for \( n \) by dividing both sides by 0.037: \( 10^{n}=\frac{37}{0.037} \).

Step3: Calculate \( \frac{37}{0.037} = 1000 = 10^{3} \), so \( n = 3 \).

Answer:

\( 10^{3} \)