1. **State the problem:** We need to multiply 68 by 59 using the box method. 2. **Explain the box method:** The box method breaks each number into place values and multiplies each part separately, then adds the results. 3. **Break down the numbers:** - 68 = 60 + 8 - 59 = 50 + 9 4. **Set up the box:** | | 60 | 8 | |---|----|---| | 50| | | | 9 | | | 5. **Multiply each pair:** - 60 × 50 = 3000 - 60 × 9 = 540 - 8 × 50 = 400 - 8 × 9 = 72 6. **Add all partial products:** $$3000 + 540 + 400 + 72 = 4012$$ 7. **Final answer:** $$68 \times 59 = 4012$$