integers integers include: the counting numbers…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
INTEGERS
Integers include : - the counting numbers… 1, 2, 3, 4, 5 …
- their negative partners… -1, -2, -3, -4, -5 …
- AND zero 0
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
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
0 1 2 3 4 5 …-5 -4 -3 -2 -1…
2 2
These numbers are ADDITIVE INVERSES, when added together, they equal “zero”
2 + ( - 2 ) = 0
Here are some examples of additive inverses…
Integer Additive
Inverse
Here are some examples of additive inverses…
Integer Additive
Inverse
-5
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12 -12
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12 -12
7
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12 -12
7 -7
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12 -12
7 -7
-30
Here are some examples of additive inverses…
Integer Additive
Inverse
-5 5
12 -12
7 -7
-30 30
ADDITION / SUBTRACTION of Integers
STEPS : 1. change any “double” signs
ADDITION / SUBTRACTION of Integers
STEPS : 1. change any “double” signs
Double signs such as + - or + + need to be changed…
ADDITION / SUBTRACTION of Integers
STEPS : 1. change any “double” signs
Double signs such as + - or + + need to be changed to single signs…
+ + changes to +
- - changes to +
+ - changes to -
- + changes to -
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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.
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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.
7
43
4)(3
1st change double sign ++ means +
Add the two integers
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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.
7
43
4)(3
1st change double sign + - means -
Add 3 and 4 and place a negative sign in front
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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.
1
43
4)(3
1st change double sign + + means +
Subtract; 4 – 3 =1…since +4 is farther from zero than - 3, the answer is +
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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
4
48
4)(8
1st change double sign - + means -
Subtract; 8 – 4
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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
4
84
8)(4
1st change double sign - + means -
The difference between 8 and 4 = 4.
Since 8 is farther away from zero and
negative, the answer is negative
ADDITION / SUBTRACTION of Integers
STEPS : 1. 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
12
48
4)(8
1st change double sign - + means -
Add 8 and 4 , place a negative sign in front