To multiply \(589\) by \(12\), we can break it down and use the standard multiplication method. Here's how it’s done step by step:
- Set Up the Problem:
589
× 12
_______
- Multiply by the Units Digit (2):
- \(589 \times 2 = 1178\)
589
× 12
_______
1178 (This is 589 × 2)
- Multiply by the Tens Digit (1):
- Since we're essentially multiplying by \(10\) (the tens place), we place a zero to the right.
- \(589 \times 1 = 589\), shift one position to the left because it's the tens place.
589
× 12
_______
1178
+ 5890 (This is 589 × 1, shifted one position to the left)
- Add the Two Results Together:
1178
+ 5890
_______
7068
So, \(589 \times 12 = 7068\).
The final answer is: \[ \boxed{7068} \]