Question

numeric 1 point
round 56.0 to have 2 sig figs.
answer

numeric 1 point
round 254.6381 to have 3 sig figs.
answer

multiple choice 1 point
round 300 to have 2 sig figs. (remember scientific notation)
3.0 x 10^2
30
3 x 10^2
33

Explanation:

Step1: Identify significant - figures rule for 56.0

Non - zero digits are always significant. For 56.0, to have 2 sig - figs, we look at the digit after the second significant digit. Since the digit after 6 is 0, 56.0 rounded to 2 sig - figs is 56.

Step2: Identify significant - figures rule for 254.6381

The first three significant digits are 2, 5, and 4. We look at the digit after the third significant digit (4). The digit after 4 is 6, which is greater than 5. So we round up. 254.6381 rounded to 3 sig - figs is 255.

Step3: Analyze multiple - choice for 300

In scientific notation, to have 2 sig - figs for 300, it should be written as $3.0\times10^{2}$. The zero after 3 is significant in this case.

Answer:

1. 56
2. 255
3. A. $3.0\times10^{2}$