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addition and subtraction with rational numbers - Coggle Diagram
addition and subtraction with rational numbers
Integers
Compare positive and negative numbers
negative
numbers that lower than 0
positive
numbers that higher than 0
Compare zero to negative numbers
numbers that lower than 0
Compare zero to positive numbers
numbers that higher than 0
Number Line
Addition
What process can you use to solve addition problems on a number line?
both 0<
answer will be bigger than 0
add them
answer will be greater than the first number
both 0>
the answer will always be less than 0
add the numbers and make the awnser negative
one 0< one 0>
take the absulute value of each number
subtract smaller number from bigger number
the answer has the sign of the bigger number
different signs
steps
plus sign / addition sign.
minus sign / subtraction sign.
× times sign / multiplication sign.
÷ OR / division sign.
= equals sign.
< less than.
greater than.
≠ NOT equal to.
number line
like signs
steps
the sign of the product or quotient will be positive
number line
subtracting
Algorithem
Number line
one number >0, one number <0
look at the signs to detect where to start and which way to go
both numbers >0
from the starting point always move left
answer less than the first number
answer could be positive or negative
both numbers <0
from the start always move right
2 minus signs = addition sign plus.
multiplication
Canels
X/8 = 5
multiply both sides by 8
8/8 = 5x8
reduce the fraction 1x = 5x8
do the multiplication bye bye "1" X = 40
non-canels
(T)(-Z)
multiply
since one is negative the end result becomes negative
(-t)(-z)
turn the 2 mines signs into a plus sign
multiply normaly
(T)(z)
multiply normally
division
Canels
divide both sides by 6
6/6 = 54/6
reduce the fraction 1x = 9
bye bye "1" X=9
6 X = 54
non-canels
-Z divided -X
A positive number divided by a positive number equals a positive number
Z divided-X
A positive number divided by a negative number equals a negative number
Z divided X
a negative number divided by a negative number equals a positive number.
