A length 5.997 m rounded off to three significant figures is written as

Options

A. 6.00 m
B. 5.99 m
C. 5.95 m
D. 5.90 m

Answer

To round the length of 5.997 m to three significant figures, we follow these steps:

### Step 1: Identify the significant figures
The number 5.997 has four significant figures: 5, 9, 9, and 7.

### Step 2: Determine the rounding point
Since we need to round to three significant figures, we focus on the first three digits: 5, 9, and 9. The next digit (the fourth significant figure) is 7.

### Step 3: Apply the rounding rule
According to rounding rules, if the digit immediately following the last significant figure (in this case, the fourth digit, which is 7) is 5 or greater, we round up the last significant figure. Since 7 is greater than 5, we will round up.

### Step 4: Round up the last significant figure
The last significant figure in our three significant figures (5.99) is 9. Since we are rounding up due to the 7, we add 1 to this 9:
- 9 + 1 = 10

### Step 5: Adjust for the carry
When we add 1 to 9, it becomes 10. This means we increase the second significant figure (the second 9) by 1, resulting in:
- 5.99 (the first two significant figures) becomes 6.00 after carrying over.

### Step 6: Write the final answer
Thus, the length 5.997 m rounded off to three significant figures is 6.00 m.

### Final Answer:
6.00 m

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