State the number of significant figures.

1) 809 Answer : 3

2) 0.0060 Answer : 5?

3) 0.00000095 Answer : 9?

4) 5.60 Answer : 3

5) 5.743 Answer : 4

6) 0.010 Answer : 4?

answer

To determine the number of significant figures in a number, follow these rules:

1) Non-zero digits are always significant. In the given numbers, the non-zero digits are: 8, 0, 9, 5, 6, and 7.

2) Zeros in between non-zero digits are always significant. In the given numbers, there are no zeros in between non-zero digits.

3) Leading zeros (zeros before the first non-zero digit) are not significant. In the given numbers, there are no leading zeros.

4) Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point present. In the given numbers, there is a trailing zero in numbers 2, 3, 5, and 6 because they have a decimal point.

Based on these rules, let's determine the number of significant figures for each number:

1) 809: This number has 3 significant figures (non-zero digits).

2) 0.0060: This number has 5 significant figures (leading zeros are not significant, and the trailing zero after the decimal point is significant).

3) 0.00000095: This number has 2 significant figures (leading zeros are not significant, and no trailing zero after the decimal point).

4) 5.60: This number has 3 significant figures (the trailing zero after the decimal point is significant).

5) 5.743: This number has 4 significant figures (the trailing zero after the decimal point is significant).

6) 0.010: This number has 2 significant figures (leading zeros are not significant, and the trailing zero after the decimal point is significant).

So, the number of significant figures for each given number is:

1) 809: 3
2) 0.0060: 5
3) 0.00000095: 2
4) 5.60: 3
5) 5.743: 4
6) 0.010: 2