45.0
3.41 → 3 to one sig fig
3050
35164 is 35200 rounded to 3 significant figures. To round to 3 sig fig, use the 4th digit to decide whether to round up or down; digits after the first 3 are replaced by zeros: 4th digit is 6, so round up 35164 → 35200 to 3 sig fig.
if not specified you do it to the lowest no. sig. fig. in the original equation. if you are only given 1 (not 1.000 i.e.) then do it to 1 sig. fig. in practice though, could get away with 3 sf because you will not be penalised for it
As trailing zeros after a decimal point are not normally written, for them to be written means they must have significance, so 4.270000 has 7 significant figures (it may have been rounded from 4.2699995 to 7 sig fig). 4.27 (the same value) would only have 3 sig fig.
It depends to how many significant figures: 1 sig fig => 10 (technically 1 x 101 or 1e1) 2 sig fig => 13 3 sig fig => 12.7 4 sig fig => 12.74 5 sig fig => 12.744
3.41 → 3 to one sig fig
3050
3 sig figs
35164 is 35200 rounded to 3 significant figures. To round to 3 sig fig, use the 4th digit to decide whether to round up or down; digits after the first 3 are replaced by zeros: 4th digit is 6, so round up 35164 → 35200 to 3 sig fig.
When you've finished operating on your numbers to round to 3 sig fig you want to round to the first three digits starting with the first non-zero digit by using the fourth digit (as normal) and then replace all further digits to the right by zeros and removing any digits so changed to zero after a decimal point. Examples: 12345 to 3 sig fig is 12300 since the 4 does not round up the 3. 124578 to 3 sig fig is 125000 since the 5 rounds up the 4. 0.1234 to 3 sig fig is 0.123 since the 4 does not round up the 3 and the trailing zeros (created) are removed. 0.001234 to 3 sig fig is 0.00123 12984 to 3 sig fig is 13000 since the 8 rounds the 9 up. 0.012984 to 3 sig fig is 0.0130 since the 8 rounds the 9 up. 3333333333.33 to 3 sig fig is 3330000000
0 (there are no numbers after the decimal point) * * * * * Wrong answer! But there is no simple correct answer. Integers ending in 0 are ambiguous cases. It is not possible to say whether the number 8700 represent a value that has not been rounded (4 significant figures), rounded to the nearest ten (3 sig fig) or to the nearest hundreds (2 sig fig).
73.02 → 73.0 to 3 sig fig.
if not specified you do it to the lowest no. sig. fig. in the original equation. if you are only given 1 (not 1.000 i.e.) then do it to 1 sig. fig. in practice though, could get away with 3 sf because you will not be penalised for it
There are 3 sig fig in 60800000
It has 3 sig. fig.
In 356 there are 3 sig fig.