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addition and subtraction with rational numbers - Coggle Diagram
addition and subtraction with rational numbers
Integers
Compare positive and negative numbers
ex. 3 is greater than -4.
Compare zero to negative numbers ex. -4 is smaller than zero
Compare zero to positive numbers
ex. zero is smaller than 6
Absolute value: is a distance from zero (0)
Number line
The first step is to locate the first number on the number line
Absolute value: is a distance from zero (0)
Patterns: Larger absolute value determines the sign of the answer
Addition, subtraction if they are same signs---- away from zero.
addend - number that has same numbers
Different/unlike signs -- subtract ---Toward from zero
Like signs
Additionsteps, and number lines
Steps
Add the values
Keep the sign of the values
Number line
First number is the start point
The operation determines direction (addition goes right)
Sign of the second number
Positive, go the direction of the operation
Negative, go the opposite direction of the operation
same signs: add different signs subtract
Subtraction
Number line:
Algorithm
Describe how to convert to an addition problem
Describe how to perform all subtraction problems include the following situations
Positive or negative number minus positive number
Positive or negative number minus a negative number
Describe how to perform a subtraction problem on the number line.
Number line:
Step 1: location the first value
Step 2: subtraction tells us to go to the left
Step 3: look at the sign of the second number:
Positive, continue with going to the left
Negative, go to the right, a double negative creates a positive
How to convert addition to subtration. ----- change signs
Adding same signs:
345+769= Both positives
-459+(-234)= Both negatives
Adding different signs:
Subtracting a positive number from any number:
576-329= positive - positive
-89-120= negative - positive
Subtracting a negative number from any number:
603-(-123)= positive - negative
-456-(-852)= negative - negative
Multiply
Start by completely factoring all the polynomials.
2.Use the denominators to find the restrictions to the domain.
3.Change division to multiplication by flipping the 2nd fraction
Or make it into common denominaor
How to determine the sign: If there are even amounts of negative numbers, the answer is positive, but if it's odd amount of negative number the answer is negative.
