Worksheet titled "Significant Figures Practice Worksheet" from Math Monks, featuring three sections: rounding numbers to one significant figure, rounding to two significant figures, and completing arithmetic problems while rounding to the correct number of significant figures.

Let’s go through each part of the worksheet step by step, rounding correctly and solving the math problems with proper significant figures.

---

Part 1: Round to one significant figure

We keep only the first non-zero digit, and round based on the next digit.

a) 588 → First digit is 5, next is 8 (≥5), so round up → 600
b) 52.8 → First digit 5, next is 2 (<5), so stays → 50
c) 182 → First digit 1, next is 8 (≥5), round up → 200
d) 3.944 → First digit 3, next is 9 (≥5), round up → 4
e) 1829 → First digit 1, next is 8 (≥5), round up → 2000
f) 1.923 → First digit 1, next is 9 (≥5), round up → 2
g) 3021 → First digit 3, next is 0 (<5), so stays → 3000
h) 71.61 → First digit 7, next is 1 (<5), so stays → 70
i) 0.192 → First non-zero is 1, next is 9 (≥5), round up → 0.2
j) 5128 → First digit 5, next is 1 (<5), so stays → 5000
k) 766 → First digit 7, next is 6 (≥5), round up → 800
l) 0.67 → First non-zero is 6, next is 7 (≥5), round up → 0.7

---

Part 2: Round to two significant figures

Keep first two non-zero digits, round based on third.

a) 2187 → First two: 21, next is 8 (≥5) → 2200
b) 12.8 → First two: 12, next is 8 (≥5) → 13
c) 707 → First two: 70, next is 7 (≥5) → 710
d) 4.093 → First two: 4.0, next is 9 (≥5) → 4.1
e) 2.038 → First two: 2.0, next is 3 (<5) → 2.0
f) 0.456 → First two: 4 and 5, next is 6 (≥5) → 0.46
g) 841 → First two: 84, next is 1 (<5) → 840
h) 129 → First two: 12, next is 9 (≥5) → 130
i) 31.25 → First two: 31, next is 2 (<5) → 31
j) 7024 → First two: 70, next is 2 (<5) → 7000
k) 6255 → First two: 62, next is 5 (≥5) → 6300
l) 278 → First two: 27, next is 8 (≥5) → 280

---

Part 3: Solve and round to correct significant figures

Rules:
- For addition/subtraction: round to least precise decimal place.
- For multiplication/division: round to least number of significant figures.

a) 13.7 + 25.466
→ 13.7 has 1 decimal place, 25.466 has 3 → answer should have 1 decimal place
→ 13.7 + 25.466 = 39.166 → rounded to 1 decimal → 39.2

b) 19.117 - 8.11
→ 19.117 has 3 decimals, 8.11 has 2 → answer should have 2 decimals
→ 19.117 - 8.11 = 11.007 → rounded to 2 decimals → 11.01

c) 1.1 × 3.25
→ 1.1 has 2 sig figs, 3.25 has 3 → answer gets 2 sig figs
→ 1.1 × 3.25 = 3.575 → rounded to 2 sig figs → 3.6

d) 31.66 ÷ 0.02
→ 31.66 has 4 sig figs, 0.02 has 1 sig fig → answer gets 1 sig fig
→ 31.66 ÷ 0.02 = 1583 → rounded to 1 sig fig → 2000

e) 12.7 - 5.23
→ 12.7 has 1 decimal, 5.23 has 2 → answer gets 1 decimal
→ 12.7 - 5.23 = 7.47 → rounded to 1 decimal → 7.5

f) 18.26 ÷ 0.6
→ 18.26 has 4 sig figs, 0.6 has 1 sig fig → answer gets 1 sig fig
→ 18.26 ÷ 0.6 = 30.433... → rounded to 1 sig fig → 30

---

Final Answer:

Part 1:
a) 600 b) 50 c) 200 d) 4 e) 2000 f) 2 g) 3000 h) 70 i) 0.2 j) 5000 k) 800 l) 0.7

Part 2:
a) 2200 b) 13 c) 710 d) 4.1 e) 2.0 f) 0.46 g) 840 h) 130 i) 31 j) 7000 k) 6300 l) 280

Part 3:
a) 39.2 b) 11.01 c) 3.6 d) 2000 e) 7.5 f) 30