What will be the length of a metre stick of 5.602 m when 2.8 m portion is cut from it ? Express the result to the appropriate significant figures.

Answer

To solve the problem of finding the length of a metre stick after cutting a portion from it, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Length of the Meter Stick:**
- The initial length of the meter stick is given as 5.602 m.

2. **Identify the Length to be Cut:**
- The length that is to be cut from the meter stick is 2.8 m.

3. **Perform the Subtraction:**
- To find the remaining length of the meter stick after cutting, we subtract the length to be cut from the initial length:
\[ \text{Remaining Length} = \text{Initial Length} - \text{Length Cut} \]
\[ \text{Remaining Length} = 5.602 \, \text{m} - 2.8 \, \text{m} \]
\[ \text{Remaining Length} = 2.802 \, \text{m} \]

4. **Determine the Significant Figures:**
- The number of significant figures in the initial length (5.602 m) is 4.
- The number of significant figures in the length cut (2.8 m) is 2.
- When performing calculations, the result should be expressed with the least number of significant figures from the values used in the calculation. Here, the minimum is 2 significant figures.

5. **Round the Result to the Appropriate Significant Figures:**
- The result from the subtraction is 2.802 m.
- Rounding this to 2 significant figures gives us 2.8 m.

### Final Answer:
The length of the meter stick after cutting a 2.8 m portion from it is **2.8 m**.