Correct 0.04945 to two significant figures

0.049

To correctly round 0.04945 to two significant figures, we first need to determine the two significant figures. Significant figures are the digits in a number that carry meaning in terms of precision.

Starting with 0.04945, let's identify the significant figures:

1. The first non-zero digit is 4, so it is significant.
2. The second non-zero digit is 9, so it is also significant.

The remaining digits, 4 and 5, are considered non-significant since they follow the last significant figure.

Now, to round the number:

1. Look at the digit immediately to the right of the last significant figure.
2. If this digit is less than 5, simply drop it and all the digits to the right.
3. If the digit is 5 or greater, round up the last significant figure.

In this case, the digit immediately to the right of the last significant figure (9) is 4, which is less than 5. Therefore, we simply drop it and all the digits to the right.

The final rounded value of 0.04945 to two significant figures is 0.049.

The two significant figures are 4 and 9. So your answer is 0.049.