Explanation:
To count significant figures, follow these rules:
1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (before the first non-zero digit) are not significant.
4. Trailing zeros (after non-zero digits) are significant only if there is a decimal point.
5. Trailing zeros without a decimal point may or may not be significant — but in this context, we assume they are not unless the number is written with a decimal point.
Now let’s go through each number:
1.
1 → 1 significant figure
2.
11 → 2 significant figures
3.
110 → 2 significant figures (no decimal, so trailing zero is not significant)
4.
111 → 3 significant figures
5.
111.0 → 4 significant figures (trailing zero after decimal is significant)
6.
111,000 → 3 significant figures (no decimal, so trailing zeros are not significant)
7.
1,000 → 1 significant figure (only the 1 is significant; trailing zeros not counted)
8.
0.001 → 1 significant figure (leading zeros don’t count, only the 1 is significant)
9.
0.011 → 2 significant figures (leading zeros don’t count, the 11 are significant)
10.
0.111 → 3 significant figures
11.
1.111 → 4 significant figures
12.
1.001 → 4 significant figures (zeros between non-zero digits are significant)
13.
11.001 → 5 significant figures
14.
111,001 → 6 significant figures (all digits are non-zero or between non-zero digits)
15.
111,000,000 → 3 significant figures (no decimal, so trailing zeros are not significant)
16.
111,000,001 → 8 significant figures (all digits are significant)
Final Answer:
1, 2, 2, 3, 4, 3, 1, 1, 2, 3, 4, 4, 5, 6, 3, 8
Parent Tip: Review the logic above to help your child master the concept of significant digits worksheet.
