Question

question 24
100 centimeters = ---- feet

Explanation:

Step1: Recall unit conversion factors

We know that 1 meter = 100 centimeters and 1 meter ≈ 3.28084 feet.

Step2: Convert centimeters to meters

Since 100 centimeters = 1 meter (because 1 meter = 100 cm), so 100 cm is 1 meter.

Step3: Convert meters to feet

Now, convert 1 meter to feet. Using the conversion factor 1 meter ≈ 3.28084 feet, but also, we can use the direct conversion from centimeters to feet. Alternatively, we know that 1 foot = 30.48 centimeters. So to find how many feet are in 100 centimeters, we do the division: \( \frac{100}{30.48} \approx 3.28084 \) feet. But since 100 centimeters is 1 meter, and 1 meter is approximately 3.28 feet, but also, if we use the exact conversion: 1 centimeter = \( \frac{1}{30.48} \) feet, so 100 centimeters = \( 100\times\frac{1}{30.48} \approx 3.28084 \) feet. However, a more approximate value is often used, like 1 meter ≈ 3.28 feet, so 100 cm (1 m) ≈ 3.28 feet. But also, sometimes a rough conversion is 1 foot ≈ 30 cm, so 100 cm would be \( \frac{100}{30} \approx 3.33 \) feet, but the more accurate conversion is using 30.48 cm per foot.

But let's do it step by step:

First, 1 meter = 100 centimeters, so 100 cm = 1 m.

Then, 1 m = 3.28084 ft (exact conversion). So 100 cm = 1 m ≈ 3.28084 ft.

Alternatively, using the conversion from cm to ft directly:

Number of feet = \( \frac{\text{Number of centimeters}}{30.48} \)

So for 100 cm: \( \frac{100}{30.48} \approx 3.28084 \)

So the value is approximately 3.28 feet (or more precisely, about 3.28084 feet).

Answer:

\( \approx 3.28 \) (or more precisely \( \approx 3.28084 \))