Significant Digits Review

369010 m

0.00682300 mL

17.90355 C

• 43 m

• 40 m

• 50 m

• no answer

Answer explanation

10 has 1 SD according to rule 5 so the final answer should only have 1 SD according to Math Rule 1

• 156.44 kg

• 150 m

• 156.4 kg m

• no answer

Answer explanation

You cannot add different dimensions together. (Math Rule 1)

• 35 000 kg

• 35 kg

• 30 000 kg

• no answer

Answer explanation

1000 has only 1 SD (According to Rule 5). Since according to Math Rule 2, the SDs of the answer should be less than or equal to the measurement with the least amount of SDs.

• 35 000 kg

• 35 kg

• 30 000 kg

• no answer

Answer explanation

Now, since there is a decimal point after 1000, the measurement that has the least SDs is 35. kg. That means that the final answer can have 2 or less SDs now.

• no answer

Answer explanation

Even if they are different dimensions, since it is a multiplication operation, you can multiply them. This is actually an example of a Force problem. F=ma. In this case, Math Rule 2 applies and since the measurement that has the least SDs has 4 SDs, the answer can have 4 or less SDs

• 200 kL

• 225.0 kL

• 230.0 kL

• no answer

Answer explanation

Since the 2 is a non-measured number, it won't be counted as significant (Rule 1) and, therefore, won't be used in counting the SDs of the answer.