Basic Math Dividing Integers

Welcome back to Educator.com; this next lesson is on dividing integers.0000

If you remember the previous lesson on multiplying integers,0006

the rule was to multiply the numbers together to find the product0011

and determine if the product is going to be a positive or negative.0016

Remember that if only one of the numbers were negative, then the product was going to be negative.0022

If you have two negative numbers, then the product was going to be positive.0029

The same rule applies when you divide integers.0033

The only difference is that you have to divide the numbers instead of multiply them.0038

When you divide integers, you are going to divide the numbers.0043

You are going to apply the same rule as when you multiply integers.0046

If only one number is negative, then the quotient is going to be negative.0051

If both numbers are negative, then the quotient is going to be positive.0055

Let's just do a few examples.0063

The first problem, -9 divided by 3; 9 divided by 3 is 3.0066

Again if we have one negative sign, then my answer, my quotient, becomes a negative.0075

If I have two, positive.0080

This one right here, 14 divided by 2, ignoring the negative, is going to be a 7.0084

Don't forget to go back to the negatives though.0091

You can look at the negative signs as you do the problem too.0094

Or you can just divide it and then go back and look at how many negative signs do I have?0098

In this case, I only have one; that is going to make that a negative.0104

It is a -7; 14 divided by -2 is a -7.0107

49 divided by 7 is 7.0113

I don't have any negative signs; it is just positive.0117

-40 divided by -8.0125

I have two negatives which means that my answer, my quotient, is going to be a positive.0128

40 divided by 8 is 5; my answer is +5.0136

-90 divided by -10; again I have two negatives.0143

That is going to make my answer a positive; 90 divided by 10 is 9.0149

You can also look at these problems this way.0155

If I have it written like this, -90 divided by -10,0159

even though it looks like a fraction, this can also be divided by.0165

It is -90 divided by -10; you are going to get the same answer, +9.0169

If the problem is written like this or like this, it is still going to be +9.0175

55 divided by -5.0183

I have one negative sign which gives me a negative answer of 11.0185

55 divided by -5 is -11.0195

The next couple of examples, -99 divided by 11; again we have one negative.0198

If I have one negative here, then that is going to make my answer a negative.0209

99 divided by 11 is 9; -99 divided by 11 is -9.0214

This next problem, I have a few things to solve out.0223

Remember order of operations, I must solve out my parentheses first.0228

I am going to solve this out first; -40 minus 4.0234

Since I am subtracting integers here, I want to change my minus sign to a plus sign.0241

My subtraction problem to an addition problem.0245

I do that by using the two-dash rule.0248

If you don't remember how to do this, you can go back and review over that lesson.0252

-40 minus 4, the first dash will be to make that a plus because that is the whole point.0257

Then make that a negative; this will be -40 plus -4.0262

They have the same sign; this is a negative; this is a negative.0269

I just add the two numbers together, just 44, and give it the same signs.0273

-40 plus -4 is going to be -44.0277

Then I have another parentheses that I have to solve out before I divide.0285

-85 plus 96, their signs are different.0290

I don't have to apply the two-dash rule for this one because this problem right here was a minus problem.0295

That is the only time you are going to use that rule.0302

This is already a plus; I can just add them straight from here.0304

This is a negative number; this is a positive number; they have different signs.0308

You are going to find the difference of their absolute values.0314

The absolute value of -85 is 85; the absolute value of 96 is 96.0317

To find the difference between the two numbers, you are going to get 11.0325

96 is the number with the greater absolute value.0331

You are going to look at that sign which is a positive and then give that sign to the answer.0336

-44 divided by +11; now I can go ahead and divide.0343

-44 divided by +11; I have a negative here; I have a positive here.0351

I have one negative; my answer, my quotient, is going to be a negative.0358

Then 44 divided by 11 is 4.0363

Make sure when you solve a problem like this, you have to solve within the parentheses first.0370

Then you divide; one negative is going to make your answer negative.0375

Two negatives is going to make your answer positive.0384

This rule applies for when you multiply integers and when you divide integers.0386

Not when you add and subtract; the rules are very different.0391

That is it for this lesson on dividing integers; thank you for watching Educator.com.0397