Today we will subtract positive integers from negative integers.

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

Negative Numbers Are Used to Measure Temperature APK

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

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

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

Definition • Positive number – a number greater than zero. 0 1 2 3 4 5 6 CD

Definition • Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 CD

Definition • Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 CD

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

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

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

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

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

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

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

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

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

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

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

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

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

Today we will subtract positive integers from negative integers.