You'll also take your algebraic skills to new heights by tackling two-step equations. In particular, you'll now learn to do everything with negative numbers (we're talking everything-adding, subtracting, multiplying, dividing, fractions, decimals. Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. Practice this lesson yourself on right now: You are going to get 80.In this video, we think about what |a-b| really means, and we verify that |a-b| = |b-a| by looking at an example. How far is that roof deck pool? Well, you take the absolute value of 80. To know how far they are, well, you could take the absolute value. One is 80 feet above the sea level, and then one is 20 feetīelow the sea level. Going to be below zero, it's below sea level, let's And if you wanted to know its position, its height, well, it is So we would call that at positive 80 feet. And let's say that that isĪt an altitude of 80 feet. Let's just say, it's a poolįor simplicity, on the roof. And a natural place to think about is based on where the sea level is. And let say, we think about the height of where the differentįloors are in the ship. Ship, nice and big one, has water slides on it, and whatever else, whatever you would expectįrom a huge cruise ship. Some type of a cruise ship, and that's the water right over there. But the reason why that is the case is because we're just saying, how far is that thing from zero? Let me give you another example. Value of a positive number, it just equals itself again. Value of a negative number, you get the number without the negative.

The absolute value of that is going to be, drum roll, please. Your distance from zero, which is just going to be three miles. Two straight up down bars around the number, then we say, that's just going to be Position is negative three, but if we were to take the absolute value, which you denote by these You're three miles from the school, and I am three miles from the school. But what we might care about is just how far are we from the school? And so there, you could say, well, we're each exactly And my position is at positive three miles relative to the school.

Now you could say that your position is at negative three miles So this is where you wouldīe, three miles to the left.

So let's say I live three miles to the right of the That the school is at zero, and we could thinkĪbout other people live. How far are you from zero? So for example, let's say that we have a bunch In this video, we're going to introduce ourselves to the idea of absolute value, which you can view as,

Khan academy absolute value