A rope of length 10 m has been divided into 8 pieces of the same length. What is the length of each piece ?

Options

A. 2 m 25 cm
B. 1 m 35 cm
C. 1 m 55 cm
D. 1 m 25 cm

Answer

To find the length of each piece of the rope, we can follow these steps:

### Step 1: Identify the total length of the rope and the number of pieces.
- The total length of the rope is 10 meters.
- The number of pieces the rope is divided into is 8.

### Step 2: Set up the division to find the length of each piece.
- To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
- This can be expressed as:
\[ \text{Length of each piece} = \frac{\text{Total length of the rope}}{\text{Number of pieces}} = \frac{10 \text{ m}}{8} \]

### Step 3: Perform the division.
- Now, we divide 10 by 8.
- 8 goes into 10 one time (1), which gives us:
\[ 10 - 8 = 2 \]
- We can express this as:
\[ 10 \div 8 = 1 \text{ remainder } 2 \]

### Step 4: Convert the remainder to a decimal.
- To convert the remainder into a decimal, we can add a decimal point and a zero to the remainder (2 becomes 20).
- Now, we divide 20 by 8.
- 8 goes into 20 two times (2), which gives us:
\[ 20 - 16 = 4 \]
- We can express this as:
\[ 20 \div 8 = 2 \text{ remainder } 4 \]

### Step 5: Continue the division to find the decimal.
- Again, we can add another zero to the remainder (4 becomes 40).
- Now, we divide 40 by 8.
- 8 goes into 40 five times (5), which gives us:
\[ 40 - 40 = 0 \]
- So, we have:
\[ 40 \div 8 = 5 \]

### Step 6: Combine the results.
- From our division, we found that:
\[ 10 \div 8 = 1.25 \]
- This means the length of each piece is 1.25 meters.

### Step 7: Convert meters to centimeters.
- Since 1 meter is equal to 100 centimeters, we can convert 1.25 meters to centimeters:
\[ 1.25 \text{ m} = 1 \text{ m} + 0.25 \text{ m} = 100 \text{ cm} + 25 \text{ cm} = 125 \text{ cm} \]

### Final Answer:
- The length of each piece of the rope is **1 meter and 25 centimeters** or **125 centimeters**.

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