 You have seen in multiplying by eleven that we added the neighbor. For multiplying by six we also use the neighbor but this time we only use "half" the neighbor.

## The Rule For Multiplying By Six

1. Add 5 to the number only if it is odd; Add “half” the neighbor.

Lets go through a couple of examples in detail just to make sure we know what the rule means.

## An Example - Multiplying 345 By 6

For our first example we will look at 345 x 6. Step 1
We add our red square to include the last digit in the multiplicand. We have 5, which is an odd number so we add 5 to it giving us a sum of 10, half of zero is zero so our sum remains unchanged. We write down the zero and carry the one. We put a little dot above the zero to show the carry. Step 2
We move the red square one digit to the left. We now have 4 plus 1 from the carry is 5, plus "half" of 5 is 2, giving us a total of 7, which we write. Step 3
We move the red square one digit to the left. We have 3, plus 5 because it is odd, giving us 8, then we add half of 4 which is 2, giving us a total of 10. We write the zero and put a dot just above it to show the carry. Last Step
We move the red square one digit to the left. Now we have zero, to which we add 1 from the carry and then we add half of 3, which is 1, giving us a total of 2. We write the 2 down and we have our answer of 2070. ## An Example - Multiplying 789 By 6

We will look at another example, 789 x 6. Step 1
We put our red square in our starting position over the last digit of the multiplicand. We have 9, which is odd so we add 5 giving us 14. The neighbor is zero so half of that is still zero leaving our total as 14. We write the 4 and put a dot to show that we are carrying the one. Step 1
We move our red square one step to the left. Now we have 8 plus the 1 carried over, plus half of 9 which is 4, giving us a total of 13. We write the 3 and then put a dot to show we carry the 1. Step 1
Moving our red square we now have 7, which is odd so we add 5 giving us 12. We now add the 1 carried over, for a total of 13 to which we add half of 8 which is 4. So we have a total of 17, so we write down the 7 and carry the one, putting a dot above the 7. Last Step
Moving the red square to the left we now have zero, to which we add the one carried over, then we add half of 7 which is 3 giving us a total of 4. We write down the 4 giving as an answer of 4734. 