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Current time:0:00Total duration:2:26

Topic A: Addition and subtraction of integers and rational numbers

Video transcript

which of the following is a correct interpretation of the expression positive equation is a one plus six well before I even read this let's just think about what's happening when one plus six on the number line I'm going to start at one which is going to be one to the right of zero and then I'm going to add another six so I'm going to go six more to the right of zero to end up at seven which is going to be seven to the right of zero the number that is six to the left of one on the number line now six to the left of one in this type of a number line which is the standard number line where to the right is positive and to the left is negative if you move six to the left that means you're subtracting 6 from one so that's not right we're adding six the number that is six to the right of one on the number line yeah that's exactly right we're going we're going 6 to the right if you're adding six you're moving to the right you're going to increase so that's definitely going to be the choice let's keep going which of the following is a correct interpretation of the expression three plus negative seven so one before I even look at these choices one way I would think about it is I would start at three and then I would move seven to the left of three I'm adding negative seven so this is the same thing as 3 minus 7 so it moves seven to the left of three so let's see what Davers say start at seven on the number line and move three to the left no that doesn't make sense I want to start at three if you'll just skip over here start at 3 on the number line and move seven to the left yeah that's exactly right we're going to start at three and we're going to move seven in the negative direction into the left if if our convention which is our standard convention that to the left is negative and to the right is more positive so that's going to be exactly right let's do one more so now they have three minus negative four well one way to think about it one way to think about it is three minus negative four is the same thing if you subtract a negative it's the same thing as adding the positive version so the same thing as three plus four and so I would want to start at three and then move four to the right because once again this is this is the same thing as 3 plus 4 3 minus negative 4 is the same thing as 3 plus 4 so I want to start at 3 and move four to the right start at three and move four to the right this would be the same thing as three plus four which is the same thing as that expression