A scout steps off a distance of 120 steps. If each step is 70 cm, what is the distance in meters?Group of answer choices8400 m84 m840 m8.4 m

1. Break Down the Problem

To find the total distance in meters that the scout covers by stepping, we need to:

• Calculate the total distance in centimeters.
• Convert this distance into meters.

2. Relevant Concepts

1. Each step is given as 70 cm.
2. Total steps taken = 120 steps.
3. To convert centimeters to meters, we use the conversion: $1 \text{ meter} = 100 \text{ centimeters}$

3. Analysis and Detail

1. Calculate the total distance in centimeters: $\text{Total distance (cm)} = \text{Number of steps} \times \text{Distance per step} = 120 \text{ steps} \times 70 \text{ cm/step}$ $\text{Total distance (cm)} = 8400 \text{ cm}$

2. Convert the total distance from centimeters to meters: $\text{Total distance (m)} = \frac{\text{Total distance (cm)}}{100} = \frac{8400 \text{ cm}}{100}$ $\text{Total distance (m)} = 84 \text{ m}$

4. Verify and Summarize

We have calculated the total distance the scout steps using simple multiplication followed by unit conversion. The calculations are verified as:

• Total distance in centimeters is correctly multiplied and converted to meters.

Final Answer

The distance stepped by the scout is 84 m.