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Identity property of 1

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example, 32x1=32.   Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

We're asked to multiply 65 times 1. So literally, we just need to multiply 65-- we could write it is a times sign like that or we could write it as a dot like that-- but this means 65 times 1. And there's two ways to interpret this. You could view this as the number 65 one time or you could view this as the number 1 sixty-five times, all added up. But either way, if you have one 65, this is literally just going to be 65. Anything times 1 is going to be that anything, whatever this is. Whatever this is times 1 is going to be that same thing again. If I have just some kind of placeholder here times 1, and I could even write it as the times symbol times 1, that's going to be that same placeholder. So if I have 3 times 1, I'm going to get 3. If I have 5 times 1, I'm going to get 5, because literally, all this is saying is 5 one time. If I put-- I don't know-- 157 times 1, that'll be 157. I think you get the idea.