Worksheet for practicing the identification of significant figures in various numerical formats.

Let's solve this Significant Figures Worksheet step by step. We'll go through each number and apply the rules for significant figures:

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🔢 Rules for Significant Figures:

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 the last non-zero digit):
- Are significant only if the number has a decimal point.
5. In scientific notation, only the digits in the coefficient matter (not the exponent).
6. Exact numbers (like counts or defined values) have infinite sig figs — but we're not dealing with those here.

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Now, let’s go through each problem:

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✔ Solutions:

| Number | Significant Figures | Explanation |
|--------|---------------------|-----------|
| 1) 5050 | 3 | Non-zero digits: 5, 0, 5 → middle zero is significant; trailing zero without decimal is not significant. So: 5, 0, 5 → 3 sig figs |
| 2) 0.0560 | 3 | Leading zeros don't count. 5, 6, and trailing 0 after decimal do count → 3 sig figs |
| 3) 0.000034 | 2 | Only 3 and 4 are non-zero → 2 sig figs |
| 4) 0.0001500 | 4 | Leading zeros ignored. 1, 5, and two trailing zeros after decimal → all significant → 4 sig figs |
| 5) 37.300 | 5 | All digits are significant; trailing zeros after decimal → 5 sig figs |
| 6) 1,060 | 3 | 1, 0, 6 → zero between non-zeros is significant. Trailing zero without decimal is not significant → 3 sig figs |
| 7) 5.050 × 10⁻² | 4 | Coefficient is 5.050 → all digits significant (including trailing zero) → 4 sig figs |
| 8) 180 | 2 | No decimal point → trailing zero is not significant → only 1 and 8 → 2 sig figs |
| 9) 4307 | 4 | All non-zero digits → 4 sig figs |
|10) 0.70070 | 5 | Leading zero ignored. 7, 0, 0, 7, 0 → all zeros between and after non-zero digits are significant → 5 sig figs |
|11) 0.0 | 1 | This is just 0.0 → one significant figure (the zero after decimal). But note: 0.0 implies measurement to tenths place → 1 sig fig |
|12) 70900 | 3 | 7, 0, 9 → zero between is significant; trailing zeros without decimal → not significant → 3 sig figs |
|13) 4206.0 | 5 | Decimal present → trailing zero is significant → all digits → 5 sig figs |
|14) 100 | 1 | No decimal → trailing zeros not significant → only the 1 → 1 sig fig |
|15) 1.0200 × 10⁵ | 5 | Coefficient: 1.0200 → all digits significant → 5 sig figs |
|16) 1508.06 | 6 | All digits are significant → 6 sig figs |
|17) 0.0701 | 3 | Leading zeros ignored. 7, 0, 1 → zero between non-zeros is significant → 3 sig figs |
|18) 0.04 | 1 | Only the 4 is significant → leading zeros don’t count → 1 sig fig |
|19) 0.8008 | 4 | Leading zero ignored. 8, 0, 0, 8 → zeros between non-zeros are significant → 4 sig figs |
|20) 6060.0 | 5 | Decimal present → trailing zero is significant → all digits → 5 sig figs |

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✔ Final Answers:

| Number | Sig Figs |
|--------|----------|
| 1) 5050 | 3 |
| 2) 0.0560 | 3 |
| 3) 0.000034 | 2 |
| 4) 0.0001500 | 4 |
| 5) 37.300 | 5 |
| 6) 1,060 | 3 |
| 7) 5.050 × 10⁻² | 4 |
| 8) 180 | 2 |
| 9) 4307 | 4 |
|10) 0.70070 | 5 |
|11) 0.0 | 1 |
|12) 70900 | 3 |
|13) 4206.0 | 5 |
|14) 100 | 1 |
|15) 1.0200 × 10⁵ | 5 |
|16) 1508.06 | 6 |
|17) 0.0701 | 3 |
|18) 0.04 | 1 |
|19) 0.8008 | 4 |
|20) 6060.0 | 5 |

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Let me know if you'd like a printable version or explanation for any specific number!