Question

solve.
$30,000 \div (1.2 \times 10^7) = \square$
$2.5 \times 10^{-5}$ $2.5 \times 10^5$ $2.5 \times 10^{-3}$ $2.5 \times 10^3$

Explanation:

Step1: Convert 30,000 to scientific notation

30,000 can be written as $3\times10^{4}$.

Step2: Rewrite the division problem

The original problem $30,000\div(1.2\times10^{7})$ becomes $\frac{3\times10^{4}}{1.2\times10^{7}}$.

Step3: Divide the coefficients and subtract the exponents

First, divide the coefficients: $\frac{3}{1.2} = 2.5$.
Then, subtract the exponents of 10: $10^{4 - 7}=10^{-3}$.

Step4: Combine the results

Combining the coefficient and the power of 10, we get $2.5\times10^{-3}$.

Answer:

$2.5\times10^{-3}$ (corresponding to the option "2.5 × 10⁻³")