1. **State the problem:** Multiply the numbers 5678 and 5678. 2. **Formula used:** To multiply two numbers, you can use the standard multiplication algorithm or express it as $a \times b$. 3. **Intermediate work:** Calculate $5678 \times 5678$. 4. **Step-by-step multiplication:** - Multiply 5678 by 8: $5678 \times 8 = 45424$ - Multiply 5678 by 70 (which is 7 tens): $5678 \times 70 = 397460$ - Multiply 5678 by 600 (which is 6 hundreds): $5678 \times 600 = 3406800$ - Multiply 5678 by 5000 (which is 5 thousands): $5678 \times 5000 = 28390000$ 5. **Add all partial products:** $$45424 + 397460 + 3406800 + 28390000 = 32239684$$ 6. **Final answer:** $$5678 \times 5678 = 32239684$$ This is the product of 5678 and 5678 calculated step-by-step.