For more information, please see full course syllabus of Basic Math

For more information, please see full course syllabus of Basic Math

### Dividing Integers

#### Related Links

- Divide the numbers
- To determine if the quotient is positive or negative, apply the same rule as when multiplying integers
- If only one number is negative, the quotient is negative
- If both numbers are negative, the quotient is positive

### Dividing Integers

- 12 ÷ 4

25 ÷ - 5

- 30 ÷ 5

- 42 ÷ - 7

30 ÷ - 3

- 45 ÷ - 5

48 ÷ - 6

( - 30 + 3) ÷ (9 ÷ - 3)

- - 27 ÷ - 3

(5 - 50) ÷ ( - 6 + 11)

- - 45 ÷ 5

(9 - 3) ÷ (10 - 12)

- 6 ÷ - 2

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Dividing Integers

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- When Dividing Integers 0:05
- Rules for Dividing Integers
- Extra Example 1: Dividing Integers 1:01
- Extra Example 2: Dividing Integers 1:51
- Extra Example 3: Dividing Integers 2:21
- Extra Example 4: Dividing Integers 3:18

### Basic Math Online Course

### Transcription: 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 product *0011

*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

0 answers

Post by Karina Herrera on December 30, 2016

I was having a lot of trouble understanding the rules behind integers way before I invested in Educator.com, but after watching your lessons I am now completely comfortable around them. Thank you! :)

1 answer

Last reply by: Mary Pyo

Fri Aug 19, 2011 11:50 PM

Post by Cally Brown on July 20, 2011

I wish that educator.com would sell practice books and answers to do along with the program!