We started with more negatives (8 negatives and only 2 positives). Subtracting will tell you how many are left.įor example, to add 2 + -8, first make both numbers positive: 2 and 8. Did you start with more negatives or more positives? This will tell you if you have positives or negatives left over. Subtract the two positive numbers and then look at the signs of the original numbers to see what the sign will be of your answer. To do this, you can look at the absolute value of each number (just remove any negative signs and think of both numbers as positive). The goal is to figure out what will be left over after things cancel. We know that positive and negative numbers cancel each other. There is another way to add positive and negative numbers together without drawing a diagram. The least is negative 3.25, Then negative 12/4, then negative 5/2, then negative two, then zero, then 7/3, and we are done.Do you have to draw a picture every time? No, but finding a way to visualize the problem can be very helpful. So we wanted the numbers ordered from least to greatest, So let's see, let's go negative one, negative two, negative three, and then we have to go a fourth, and we're not going to be able to do it super precisely, but it's going to be less than 1/3, so it's going to be right over there. This is the same thing, negative 3.25 is the same thing as negative three and 25/100 and 25/100 is the same thing as 1/4. And then finally, one more number, negative 3.25. This is one, two, and three, or negative three. These first two numbers, you could say negative 12/4 is the same thing as the negative of 12/4 which is 4/4 plus another 4/4 so that gets us to 8/4 plus another 4/4 that's 12/4. So this is negative 12/4 or if you want to use the type of logic that we used in Then we have negative 12/4 so it might jump out at you immediately, 12 divided by four is three, so this is going to be the Two, two steps, two whole numbers to the left of zero. Negative two, once again, on our number line for us. Let's see, negative one, negative two, and the negative two and 1/2 is going to be halfway between negative two, and negative three, so it's going to be right over there. So this is going to be one, plus one, plus 1/2, two and 1/2, we have our negative out there, so it's negative two and 1/2. Negative five over two, well that's the same thing as the negative of 5/2, and 5/2 is going to be 2/2 plus another 2/2, plus 1/2 so this is two and 1/2, this is one, this is one, and that's 1/2. Then we have negative 5/2, so same logic. So seven thirds, same thing as one, two, and you see, between consecutive integers, we have three spaces, so we are essentially marking off thirds, so two and 1/3, is going to be 1/3 of the way between two and three, so it's going to be right over there, so that is 7/3. So this is 3/3 is one whole, three thirds is one whole, so this is two and 1/3. So this is going to be 3/3, plus another 3/3, is going to get us to 6/3. So 7/3, how many wholes are here? And the whole is going to be 3/3. So let's see if we can express that in a different way, if we can write that as a mixed number. Let's plot these numbers on a number line, and I have a number line up here, so there you go, there is a handy number line. So assuming you've had a go at it, so let's do it together, and to help us there, And I encourage you to pause this video, and see if you can do it on your own, before we work through it together. Negative integers have values less than zero. Positive integers have values greater than zero. They can have one of two values: positive or negative. On the left hand side, and the greatest on the right. Updated on JanuWhole numbers, figures that do not have fractions or decimals, are also called integers. What I'd like to do in this video is order these six numbers from least to greatest.
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