The rules for identifying significant figures when writing or interpreting numbers are as follows:
All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5).
Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.
Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.
Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.
6 of them.
7.34
Five. If you write numbers representing the numbers in a calculation or an answer, then the number of significant figures is the number of figures written down. The number of significant figures in 351.739002 is 9; Don't confuse "significant figures" with "decimal places". The number above has 6 decimal places.
3
Two sf.
6 of them.
The answer depends on what operations were used. There should normally not be more significant figures in the answer than in any of the numbers used in the calculation.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
7.34
Five. If you write numbers representing the numbers in a calculation or an answer, then the number of significant figures is the number of figures written down. The number of significant figures in 351.739002 is 9; Don't confuse "significant figures" with "decimal places". The number above has 6 decimal places.
3
the measured quantity with the least number of significant figures. For example, if you multiply a quantity with 3 significant figures by a quantity with 2 significant figures, your result should have 2 significant figures.
There should be 3.
Two sf.
The accuracy of the answer is limited to the LEAST significant figures of the input. So if two measured quantities are multiplied or divided, one of which is accurate to only two significant figures, and other to six significant figures, the answer is only accurate to two significant figures. HOWEVER: use all the figures you have for the calculation, and then round your answer to two significant figures. Also, however, remember that if you are multiplying by an actual exact number, as in doubling, the significant figures of that 2 is unlimited, so the answer is only limited by the significant figures of the number you are doubling.
significant figures in the original numbers used in the calculation. This means the final answer should be rounded to the same number of significant figures as the number with the least amount of significant figures.
8.4706