1. The problem is to multiply 983 by 46. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are the numbers to multiply. 3. Multiply 983 by 46: $$983 \times 46$$ 4. Break down 46 into 40 + 6 for easier calculation: $$983 \times (40 + 6) = 983 \times 40 + 983 \times 6$$ 5. Calculate each part: $$983 \times 40 = 39320$$ $$983 \times 6 = 5898$$ 6. Add the two results: $$39320 + 5898 = 45218$$ 7. Therefore, the product of 983 and 46 is: $$\boxed{45218}$$