Converting between lengths

5. Write the following in meters and centimeters:

Example: 3,650 cm = 36 meters and 50 centimeters

a. 6,260 cm
b. 7,590 cm
c. 3,920 cm
d. 9,100 cm
e. 8,450 cm
f. 4,220 cm



Answer :

Sure, let's convert the given lengths from centimeters to meters and centimeters. Here's how you can do it step-by-step for each length:

### Conversion Process:

1. a. [tex]\( 6,260 \)[/tex] cm:
- To convert centimeters to meters, divide by 100 since there are 100 centimeters in a meter.
- [tex]\( \frac{6,260}{100} = 62 \)[/tex] meters and the remainder is [tex]\( 60 \)[/tex] centimeters.
- Thus, [tex]\( 6,260 \)[/tex] cm = [tex]\( 62 \)[/tex] meters and [tex]\( 60 \)[/tex] centimeters.

2. b. [tex]\( 7,590 \)[/tex] cm:
- Divide by 100 to get meters.
- [tex]\( \frac{7,590}{100} = 75 \)[/tex] meters and the remainder is [tex]\( 90 \)[/tex] centimeters.
- Thus, [tex]\( 7,590 \)[/tex] cm = [tex]\( 75 \)[/tex] meters and [tex]\( 90 \)[/tex] centimeters.

3. c. [tex]\( 3,920 \)[/tex] cm:
- Divide by 100 to get meters.
- [tex]\( \frac{3,920}{100} = 39 \)[/tex] meters and the remainder is [tex]\( 20 \)[/tex] centimeters.
- Thus, [tex]\( 3,920 \)[/tex] cm = [tex]\( 39 \)[/tex] meters and [tex]\( 20 \)[/tex] centimeters.

4. d. [tex]\( 9,100 \)[/tex] cm:
- Divide by 100 to get meters.
- [tex]\( \frac{9,100}{100} = 91 \)[/tex] meters with zero remainder.
- Thus, [tex]\( 9,100 \)[/tex] cm = [tex]\( 91 \)[/tex] meters and [tex]\( 0 \)[/tex] centimeters.

5. e. [tex]\( 8,450 \)[/tex] cm:
- Divide by 100 to get meters.
- [tex]\( \frac{8,450}{100} = 84 \)[/tex] meters and the remainder is [tex]\( 50 \)[/tex] centimeters.
- Thus, [tex]\( 8,450 \)[/tex] cm = [tex]\( 84 \)[/tex] meters and [tex]\( 50 \)[/tex] centimeters.

6. f. [tex]\( 4,220 \)[/tex] cm:
- Divide by 100 to get meters.
- [tex]\( \frac{4,220}{100} = 42 \)[/tex] meters and the remainder is [tex]\( 20 \)[/tex] centimeters.
- Thus, [tex]\( 4,220 \)[/tex] cm = [tex]\( 42 \)[/tex] meters and [tex]\( 20 \)[/tex] centimeters.

### Summary:

- [tex]\( 6,260 \)[/tex] cm = [tex]\( 62 \)[/tex] meters [tex]\( 60 \)[/tex] centimeters
- [tex]\( 7,590 \)[/tex] cm = [tex]\( 75 \)[/tex] meters [tex]\( 90 \)[/tex] centimeters
- [tex]\( 3,920 \)[/tex] cm = [tex]\( 39 \)[/tex] meters [tex]\( 20 \)[/tex] centimeters
- [tex]\( 9,100 \)[/tex] cm = [tex]\( 91 \)[/tex] meters [tex]\( 0 \)[/tex] centimeters
- [tex]\( 8,450 \)[/tex] cm = [tex]\( 84 \)[/tex] meters [tex]\( 50 \)[/tex] centimeters
- [tex]\( 4,220 \)[/tex] cm = [tex]\( 42 \)[/tex] meters [tex]\( 20 \)[/tex] centimeters

You can visualize these conversions on a long tape measure to better understand the distances involved.