1. **State the problem:** We need to multiply 3492 by 0.56. 2. **Recall the multiplication rule:** Multiplying a number by a decimal is the same as multiplying by the whole number and then dividing by a power of 10 based on the decimal places. 3. **Convert 0.56 to a fraction:** 0.56 = \frac{56}{100}. 4. **Rewrite the multiplication:** $$3492 \times 0.56 = 3492 \times \frac{56}{100}$$ 5. **Multiply the numerator:** $$3492 \times 56$$ Calculate step-by-step: - $3492 \times 50 = 174600$ - $3492 \times 6 = 20952$ Add them: $$174600 + 20952 = 195552$$ 6. **Divide by 100:** $$\frac{195552}{100} = 1955.52$$ 7. **Final answer:** $$3492 \times 0.56 = 1955.52$$