WEBVTT mathematics/basic-math/pyo
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Welcome back to Educator.com; this next lesson is on dividing integers.
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If you remember the previous lesson on multiplying integers,
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the rule was to multiply the numbers together to find the product
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and determine if the product is going to be a positive or negative.
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Remember that if only one of the numbers were negative, then the product was going to be negative.
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If you have two negative numbers, then the product was going to be positive.
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The same rule applies when you divide integers.
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The only difference is that you have to divide the numbers instead of multiply them.
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When you divide integers, you are going to divide the numbers.
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You are going to apply the same rule as when you multiply integers.
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If only one number is negative, then the quotient is going to be negative.
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If both numbers are negative, then the quotient is going to be positive.
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Let's just do a few examples.
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The first problem, -9 divided by 3; 9 divided by 3 is 3.
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Again if we have one negative sign, then my answer, my quotient, becomes a negative.
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If I have two, positive.
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This one right here, 14 divided by 2, ignoring the negative, is going to be a 7.
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Don't forget to go back to the negatives though.
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You can look at the negative signs as you do the problem too.
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Or you can just divide it and then go back and look at how many negative signs do I have?
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In this case, I only have one; that is going to make that a negative.
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It is a -7; 14 divided by -2 is a -7.
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49 divided by 7 is 7.
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I don't have any negative signs; it is just positive.
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-40 divided by -8.
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I have two negatives which means that my answer, my quotient, is going to be a positive.
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40 divided by 8 is 5; my answer is +5.
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-90 divided by -10; again I have two negatives.
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That is going to make my answer a positive; 90 divided by 10 is 9.
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You can also look at these problems this way.
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If I have it written like this, -90 divided by -10,
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even though it looks like a fraction, this can also be divided by.
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It is -90 divided by -10; you are going to get the same answer, +9.
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If the problem is written like this or like this, it is still going to be +9.
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55 divided by -5.
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I have one negative sign which gives me a negative answer of 11.
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55 divided by -5 is -11.
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The next couple of examples, -99 divided by 11; again we have one negative.
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If I have one negative here, then that is going to make my answer a negative.
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99 divided by 11 is 9; -99 divided by 11 is -9.
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This next problem, I have a few things to solve out.
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Remember order of operations, I must solve out my parentheses first.
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I am going to solve this out first; -40 minus 4.
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Since I am subtracting integers here, I want to change my minus sign to a plus sign.
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My subtraction problem to an addition problem.
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I do that by using the two-dash rule.
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If you don't remember how to do this, you can go back and review over that lesson.
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-40 minus 4, the first dash will be to make that a plus because that is the whole point.
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Then make that a negative; this will be -40 plus -4.
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They have the same sign; this is a negative; this is a negative.
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I just add the two numbers together, just 44, and give it the same signs.
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-40 plus -4 is going to be -44.
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Then I have another parentheses that I have to solve out before I divide.
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-85 plus 96, their signs are different.
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I don't have to apply the two-dash rule for this one because this problem right here was a minus problem.
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That is the only time you are going to use that rule.
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This is already a plus; I can just add them straight from here.
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This is a negative number; this is a positive number; they have different signs.
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You are going to find the difference of their absolute values.
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The absolute value of -85 is 85; the absolute value of 96 is 96.
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To find the difference between the two numbers, you are going to get 11.
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96 is the number with the greater absolute value.
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You are going to look at that sign which is a positive and then give that sign to the answer.
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-44 divided by +11; now I can go ahead and divide.
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-44 divided by +11; I have a negative here; I have a positive here.
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I have one negative; my answer, my quotient, is going to be a negative.
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Then 44 divided by 11 is 4.
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Make sure when you solve a problem like this, you have to solve within the parentheses first.
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Then you divide; one negative is going to make your answer negative.
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Two negatives is going to make your answer positive.
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This rule applies for when you multiply integers and when you divide integers.
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Not when you add and subtract; the rules are very different.
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That is it for this lesson on dividing integers; thank you for watching Educator.com.