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