Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which proportion could you use to convert 8.25 kilometers to meters?$\f…

Question

which proportion could you use to convert 8.25 kilometers to meters?$\frac{1,000 \text{ meters}}{1 \text{ kilometer}} = \frac{? \text{ meters}}{8.25 \text{ kilometers}}$$\frac{100 \text{ meters}}{1 \text{ kilometer}} = \frac{? \text{ meters}}{8.25 \text{ kilometers}}$convert.8.25 kilometers = $square$ meterssubmit

Explanation:

Step1: Identify correct conversion proportion

We know $1$ kilometer $= 1000$ meters, so the valid proportion is:
$$\frac{1,000 \text{ meters}}{1 \text{ kilometer}} = \frac{? \text{ meters}}{8.25 \text{ kilometers}}$$

Step2: Solve for unknown meters

Cross-multiply to find the unknown value:
$$? \text{ meters} = 1000 \times 8.25$$
$$? \text{ meters} = 8250$$

Answer:

Correct proportion: $\boldsymbol{\frac{1,000 \text{ meters}}{1 \text{ kilometer}} = \frac{? \text{ meters}}{8.25 \text{ kilometers}}}$
Converted value: $\boldsymbol{8250}$ meters