1. Today we will subtract positive integers from negative integers. Subtract means to take away Positive integers are numbers greater than zero. Negative integers are numbers less than zero. Concept

2. Negative Numbers Are Used to Measure Temperature APK

3. Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50 APK

4. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank. APK

5. Hint If you don’t see a negative or positive sign in front of a number it is positive. 9 + APK

6. Definition Positive number – a greater than zero. 0123456 CD

7. Definition Negative number – a less than zero. 0123456-2-3-4-5-6 CD

8. Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction 0123456-2-3-4-5-6 CD

9. Definition Integers – are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7 CD

10. Definition Absolute Value – The size of a number with or without the negative sign. The absolute value of 9 or of –9 is 9. CD

11. Absolute Value The absolute value of an integer is its distance from zero on the number line. For example, | - 3| = 3 and | - 5| = 5. CD

12. Importance It will help you be a good “borrower” since you know how much you owe and how much you will have in order to pay. It will be on tests and you need to know how to do it! What would be other reasons to know how to add integers? IMP

13. Subtracting a smaller number from a larger number is the same as finding how far apart the two numbers are on a number line. Subtracting an integer is the same as adding its opposite. Let’s see how that looks +5 - -3 SD

14. Subtracting a smaller number from a larger number is the same as finding how far apart the two numbers are on a number line. Subtracting an integer is the same as adding its opposite. Let’s see how that looks +6 - +10 SD

15. Subtracting a smaller number from a larger number is the same as finding how far apart the two numbers are on a number line. Subtracting an integer is the same as adding its opposite. Let’s see how that looks -7 - -4 SD

16. Let’s understand this! This represents a positive number This represents a negative number Together, they represent a zero value. GP

17. Let’s understand this! Here we have 4 positives and 3 negatives. Remember that a positive and a negative attract to each other and when they come together, they equal a zero What do we have left? One positive! +1 GP

18. Let’s try this another way! -7 - +2= So we have 7 negative representations. But we do not have any positive numbers to remove. So we have to create some “zero” sums Why can we do this? Because together, they equal zero! Now we can remove the 2 positives! We are left with - 9 GP

19. Let’s try this another way! -3 - -5= So we have 3 negative representations. But we do not have 5 negative representations to remove. So we have to create some “zero” sums Why can we do this? Because together, they equal zero! Now we can remove the 5 negatives! We are left with +2 GP

20. Let’s try this another way! +4 - -2= So we have 4 positive representations. But we do not have any negative numbers to remove. So we have to create some “zero” sums Why can we do this? Because together, they equal zero! Now we can remove the 2 negatives! We are left with +6 GP

21. Let’s review! What does subtract mean? To take away. What is an integer? numbers that consist of whole numbers and their opposites. What does zero sum mean? Closure