Multiplying 2-digit by 1-digit

let's try to calculate three times 32 and I'd like to rewrite it this is one way of doing it I like to rewrite it where I have the larger number on top so in this case it's 32 and I write the smaller number right below it and since a small number is only one digit it's only a ones digit I put that below the ones place on the larger number so I'll put the three right over here and of course we can't forget our multiplication symbol and this is essentially a way of saying the same thing this is you could read this as 32 times three but 32 times three is the exact same value as three times 32 it doesn't matter what order you multiply in now let's try to compute it and once again this is only one way of doing it there's many ways of doing it and I want you to think about why this works so we can start well we'll go we'll start with this 3 down here we're going to multiply it times each of the digits in 32 so we'll start with 3 times 2 well 3 times 2 from our multiplication tables and you can figure it out even if you didn't know your multiplication tables is 6 so 3 times 2 i'll write 6 right over here in the ones place now we're going to figure out what 3 times 3 is well once again we know that 3 times 3 is 9 and since I'm multiplying times the tens place right over here I'm going to put it in the tens place right like this so we're done we got 32 times 3 is 96 and I really encourage you to think about why this worked and I'll give you a little bit of a hint here I'll give you a little bit of a hint about why this worked remember 3 times 32 is the same thing as 3 3 times 30 plus 3 times 2 and if you look at it that way that's essentially what this process did we did 3 times 2 is 6 3 times 30 is 90 you add them together you get 90 plus 6 is 96