589 × 12. work shown .

1 answer

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:

  1. Set Up the Problem:
      589
   ×   12
   _______
  1. Multiply by the Units Digit (2):
    • \(589 \times 2 = 1178\)
      589
   ×   12
   _______
     1178  (This is 589 × 2)
  1. 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)
  1. Add the Two Results Together:
      1178
   +  5890
   _______
     7068

So, \(589 \times 12 = 7068\).

The final answer is: \[ \boxed{7068} \]