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Commutative law of multiplication

Video transcript

use the commutative law of multiplication the commutative law of multiplication to write 2 times 34 in a different way simplify both expressions to show that they have identical results so once again this commutative law just means that order doesn't matter it sounds very fancy commutative law of multiplication but all that says is it doesn't matter whether we do 2 times 34 or whether we do 34 times 2 the order does not matter we can commute the two terms this shall both of these are going to get you the same exact answer so let's try it out what is 2 times 34 and we could write it like this literally you'll almost never see it written like this but it is literally 2 times 34 almost always people write the larger digit on top or the digit with more digits or the number with more digits on top so let's do it this way 4 times 2 is 8 and then we'll put a 0 3 times 2 is 6 or you could view it as 30 times 2 is 60 add them together 8 plus 0 is 8 6 bring it down it's not being added to anything you get 68 so 2 times 34 is 68 now if you do 34 times 2 if we were to do 34 times 2 2 times 4 is 8 2 times 3 is 6 that's why it's always nicer to write the number with more digits on top it also is equal to 68 so it doesn't matter whether you have two groups of 34 or 34 groups of 2 in either case you're going to have 68