## Identity property of 1 (second example) | Arithmetic properties | Pre-Algebra | Khan Academy

Evaluate 1x when x is equal to

negative 1, x is equal to 0, and x is equal to 1. So let’s do the scenario

x is equal to negative 1. Then 1x becomes 1 times x,

which is now negative 1. So it’s 1 times negative 1. Well, there’s a couple of

ways to think about it. 1 times anything is going

to be that anything. So 1 times negative 1 is going

to be equal to negative 1. Another way you could

have thought about it is you could’ve just looked

at the absolute value of both numbers. You’d say 1 times 1 is 1. They have different signs. So it’s going to be negative. It would have gotten you

the same answer either way. Now we have the scenario

where x is equal to 0. So 1 times x is going to be

the same thing as 1 times 0. We’ve substituted a 0 for x. Once again, 1 times anything is

going to become that anything. So this is going to become 0. Another way to think about

it is 0 times anything is going to become 0. So either one of those

ways of thinking about it would have gotten

you this answer. 1 times– actually,

we could even write 1 times x is equal to x. So really, when you

evaluate any of these at x is equal to negative 1, or

x is equal to 0, or x equals 1, it’s really just going

to equal that number because 1 times anything

is equal to that anything right over there. Just to make it clear, 0

times anything is equal to– and this x here is a variable

not a multiplication sign– 0 times anything is equal to 0. Just for good measure–

we kind of already went over the answer– but

let’s try x is equal to 1. So this will give us 1 times

1, which you’ve probably learned a while ago. But 1 times anything is

equal to that number. So it’s equal to 1.

## btkw

Jan 1, 2011, 12:44 pmWTF IS THIS?

## Julio Caceres

Jan 1, 2011, 2:54 pm@btkw the basics

## paulceltics

Apr 4, 2011, 2:53 ami like these short quick ones

## Evi1M4chine

Jun 6, 2011, 5:18 am0 ∙ ∞ = 1

🙂

## Evi1M4chine

Jun 6, 2011, 5:19 amAnd, no I don’t care what you think, unless you came up with it 100% yourself. Which you may think you do, but you extremely likely don’t.

## Alphonse Meade

Dec 12, 2012, 5:47 pmdes r borin i r tew smart fer des carp booo