Answer:
0.0165040: there are 6 significant figures
165.040: there are 6 significant figures
0.16500: there are 5 significant figures
16504.0: there are 6 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.65040 x 10^4)
165040: there are 6 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.65040 x 10^5)
0.165040: there are 6 significant figures
0.00165040: there are 6 significant figures
16504: there are 5 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.6504 x 10^4)
0.106: there are 3 significant figures
Step-by-step explanation:
The question requires us to determine the amount of significant figures in each of the numbers given.
Significant figures (or significant digits) represent the precision or resolution of a number. They correspond to the digits in the number that are reliable and necessary to indicate the quantity of something.
There are some rules we need to follow to identify the amount of significant digits in a number:
- non-zero digits are always significant;
- any zero digits between two non-zero digits are significant;
- trailing zeros (zeros at the final portion of the number) in a decimal number are significant. For integer numbers, it depends on the precision of the measurement;
- leading zeros (zeros at the initial part of the number) in a decimal number are not significant (for example: 0.00520: the final zero is significant but the initial zeros are not significant).
Considering the rules above, we can identify the amount of significant figures as:
0.0165040: there are 6 significant figures
165.040: there are 6 significant figures
0.16500: there are 5 significant figures
16504.0: there are 6 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.65040 x 10^4)
165040: there are 6 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.65040 x 10^5)
0.165040: there are 6 significant figures
0.00165040: there are 6 significant figures
16504: there are 5 significant figures (since we don't know the precision of the measurement, we need to consider all digits as significants; we could see the number in its scientific notation: 1.6504 x 10^4)
0.106: there are 3 significant figures