Question

complete the equation.
$0.017 \times 10^2 = 1.7$
$960 \div 10^3 = 0.96$
$0.034 \times ? = 3,400$
options: $10^2$, $10^3$, $10^4$, $10^5$

Explanation:

Step1: Let the missing exponent be \( n \), so the equation is \( 0.034\times10^{n}=3400 \).

Step2: Solve for \( 10^{n} \) by dividing both sides by \( 0.034 \). So \( 10^{n}=\frac{3400}{0.034} \).

Step3: Calculate \( \frac{3400}{0.034} \). \( 3400\div0.034 = 100000 \).

Step4: Since \( 100000 = 10^{5} \), so \( n = 5 \).

Answer:

\( 10^{5} \)