 # INTEGERS Integers include: the counting numbers….

## Presentation on theme: "INTEGERS Integers include: the counting numbers…."— Presentation transcript:

INTEGERS Integers include: the counting numbers…

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 …

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners…

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 …

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 We can show them on a number line

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 Each integer and its partner are the same distance from zero

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 Each integer and its partner are the same distance from zero 2 2

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 Each integer and its partner are the same distance from zero 5 5

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 These numbers are ADDITIVE INVERSES 5 5

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 5 5

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 5 5 5 + ( - 5 ) = 0

INTEGERS Integers include : - the counting numbers… 1, 2, 3, 4, 5 … - their negative partners… -1, -2, -3, -4, -5 … - AND zero 0 These numbers are ADDITIVE INVERSES, when added together, they equal “zero” 2 2 2 + ( - 2 ) = 0

Here are some examples of additive inverses…

-5 5 12 Here are some examples of additive inverses… Integer Additive

-5 5 12 -12 Here are some examples of additive inverses… Integer

-5 5 12 -12 7 Here are some examples of additive inverses… Integer

-5 5 12 -12 7 -7 Here are some examples of additive inverses… Integer

-5 5 12 -12 7 -7 -30 Here are some examples of additive inverses…
Integer Additive Inverse -5 5 12 -12 7 -7 -30

-5 5 12 -12 7 -7 -30 30 Here are some examples of additive inverses…
Integer Additive Inverse -5 5 12 -12 7 -7 -30 30

STEPS : change any “double” signs

STEPS : change any “double” signs Double signs such as or need to be changed…

STEPS : change any “double” signs Double signs such as or need to be changed to single signs… + + changes to + - - changes to + + - changes to - - + changes to -

STEPS : change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero.

STEPS : change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1st change double sign ++ means + Add the two integers

STEPS : change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1st change double sign means - Add 3 and 4 and place a negative sign in front

STEPS : change any “double” signs 2a. The sum of two positive integers is positive 2b. The sum of two negative integers is negative 2c. The sum of a positive and negative integer is the difference between the two numbers, then your answer takes on the sign of the integer the farthest away from zero. 1st change double sign + + means + Subtract; 4 – 3 =1…since +4 is farther from zero than - 3, the answer is +

STEPS : change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set

STEPS : change any “double” signs 3a. A larger integer minus a smaller integer is positive - just subtract normally 3b. A smaller integer minus a larger integer is negative - find the difference, then the integer farther from zero gives + or - 3c. A negative integer minus a negative integer is negative - exactly like 2b in the addition set 1st change double sign - + means - Subtract; 8 – 4