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complete the equation. 0.017 ×? = 1.7 options: 10², 10³, 10⁴, 10⁵

Question

complete the equation.
0.017 ×? = 1.7
options: 10², 10³, 10⁴, 10⁵

Explanation:

Step1: Let the unknown be \( x \), so the equation is \( 0.017\times x = 1.7 \).

Step2: Solve for \( x \) by dividing both sides by \( 0.017 \), so \( x=\frac{1.7}{0.017} \).

Step3: Calculate \( \frac{1.7}{0.017} \), we can rewrite it as \( \frac{1.7\times1000}{0.017\times1000}=\frac{1700}{17} = 100 \), and \( 100 = 10^{2} \).

Answer:

\( 10^{2} \)