Today we will add with decimals.

Today we will subtract positive integers from negative integers.

Subtract means to take awayPositive integers are numbers greater than zero. Negative integers are numbers less than zero.ConceptLO1Negative Numbers Are Used to Measure Temperature

APKNegative Numbers Are Used to Measure Under Sea Level

0102030-10-20

-30-40

-50

APKNegative Numbers Are Used to Show DebtLets say your parents bought a car buthad 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.APKHintIf you dont see a negative or positive sign in front of a number it is positive.9+APKDefinitionPositive number a number greater than zero.0123456CDDefinitionNegative number a number less than zero.0123456-1-2-3-4-5-6CDDefinitionOpposite Numbers numbers that are the same distance from zero in the opposite direction0123456-1-2-3-4-5-6CDDefinitionIntegers Integers are all the whole numbers and all of their opposites on the negative number line including zero.7opposite-7CDDefinitionAbsolute Value The size of a number with or without the negative sign.The absolute value of 9 or of 9 is 9.CDAbsolute ValueThe absolute value of an integer is its distance from zero on the number line.For example, |-3| = 3 and |-5| = 5.CDImportanceIt 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?IMPIMP12Subtracting 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.

Lets see how that looks

+5 - -3

SDSubtracting 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.

Lets see how that looks

+6 - +10

SDSubtracting 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.

Lets see how that looks

-7 - -4

SDLets understand this!This represents a positive numberThis represents a negative numberTogether, they represent a zero value. GPLets 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 zeroWhat do we have left?One positive!+1GPLets 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 sumsWhy can we do this?Because together, they equal zero!Now we can remove the 2 positives!We are left with -9GPLets 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 sumsWhy can we do this?Because together, they equal zero!Now we can remove the 5 negatives!We are left with +2GPLets 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 sumsWhy can we do this?Because together, they equal zero!Now we can remove the 2 negatives!We are left with +6GPLets 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?

ClosureClosure21