Subjects physics

Unit Conversions 9A740A

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to perform two calculations and express the answers in meters. 2. **Part a:** Add 0.76 m, 84 cm, and 2.3 mm. 3. **Convert all units to meters:** - 0.76 m is already in meters. - 84 cm = \frac{84}{100} = 0.84 m. - 2.3 mm = \frac{2.3}{1000} = 0.0023 m. 4. **Add the values:** $$0.76 + 0.84 + 0.0023 = 1.6023$$ 5. **Answer for part a:** $$1.6023\text{ meters}$$ 6. **Part b:** Multiply 1.84 km, 2.7 m, and 17 cm. 7. **Convert all units to meters:** - 1.84 km = 1.84 \times 1000 = 1840 m. - 2.7 m is already in meters. - 17 cm = \frac{17}{100} = 0.17 m. 8. **Multiply the values:** $$1840 \times 2.7 \times 0.17$$ 9. **Calculate step-by-step:** $$1840 \times 2.7 = 4968$$ $$4968 \times 0.17 = 844.56$$ 10. **Answer for part b:** $$844.56\text{ meters}$$