The uncertain digit in the measurement of a length reported as 41.68 cm is

Options

A. 4
B. 1
C. 6
D. 8

Answer

To determine the uncertain digit in the measurement of a length reported as 41.68 cm, we can follow these steps:

### Step 1: Identify the significant figures
The number 41.68 cm consists of four digits: 4, 1, 6, and 8. All these digits are significant figures.

### Step 2: Understand the concept of uncertain digits
In any measurement, the last digit is typically considered the uncertain digit. This is because it is the digit that can vary due to limitations in the measuring instrument or human error in reading the measurement.

### Step 3: Analyze the given measurement
In the measurement of 41.68 cm:
- The digits are: 4 (tens place), 1 (units place), 6 (tenths place), and 8 (hundredths place).
- The last digit, which is 8, represents the most precise measurement we have, but it is also the digit that can change due to measurement uncertainty.

### Step 4: Conclude the uncertain digit
Since the last digit (8) is the one that can vary, it is considered the uncertain digit in the measurement of 41.68 cm.

### Final Answer
The uncertain digit in the measurement of a length reported as 41.68 cm is **8**.

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