One.
In scientific notation 0.00000000006 = 6 x 10-11 which has 1 digit in the mantissa (the bit before the x 10-11) showing the number has only 1 significant figure.
The first significant figure is the first non-zero digit; then count the number of digits from there onwards until just zeros remain and stop counting then. Trailing zeros are not normally counted as significant, but trailing zeros after a decimal point (which would not normally be written) could indicate rounding to significant figures and be counted, eg 3.5897 to 4 sig fig is 3.590
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Three of them which are 9, 0 and 9
There are four significant figures (the end part which is 6709). The 0 is significant there, because it is in between two significant figures.
That number has 4 significant figures: 6, 5, 7 and the final 0.
It has 3 because the 0's after the decimal point don't count as significant figures.
Three of them and they are 967