Question

1. 2.5 × 10³ times what number is equal to 5 × 10⁶? enter your answer as a whole number in the box.

Explanation:

Step1: Define unknown variable

Let the unknown number be $x$. Set up the equation:
$2.5 \times 10^3 \times x = 5 \times 10^6$

Step2: Isolate the unknown variable

Rearrange to solve for $x$:
$x = \frac{5 \times 10^6}{2.5 \times 10^3}$

Step3: Split into coefficient and power terms

Separate the coefficients and powers of 10:
$x = \frac{5}{2.5} \times \frac{10^6}{10^3}$

Step4: Calculate each part

Compute the coefficient and simplify the power:
$\frac{5}{2.5}=2$, $\frac{10^6}{10^3}=10^{6-3}=10^3=1000$

Step5: Multiply the results

Find the final value of $x$:
$x = 2 \times 1000$

Answer:

2000