to make the integer zero for example:
2x+7y=7x+9 in this step's need to transpose 7x to the left member,
2x-7x+7y=7x-7x+9 look! it become zero and 7x is already transpose to the left member
then that's the purpose of adding its opposite
We use the opposite of a real numbers to distinguish the number from a negative number. The opposites of reals are real, whereas negative numbers are imaginary numbers. In the above example values and variables are assumed to be real.
Because that is how the opposite of a number is defined.
-You must memorize -To add 2 integers with different signs, find the difference of their absolute value -To subtract an integer, add it's opposite
to subtract an integer, add its opposite or additive inverse.
Subtracting an integer is the same as adding its opposite.Examples:In the following examples, we convert the subtracted integer to its opposite, and add the two integers.7 - 4 = 7 + (-4) = 312 - (-5) = 12 + (5) = 17-8 - 7 = -8 + (-7) = -15-22 - (-40) = -22 + (40) = 18Note that the result of subtracting two integers could be positive or negative.
when you add two positive integers the answer is always positive when you add two negative integers the answer is positive when you add one negative and on positive integer, the answer is negative subtracting two negative numbers gets a negative answer subtracting two positive numbers- the answer depends subtracting a negative and positive number- the answer depends, the positive number would have to be bigger than the negative to achieve a negative number, and if the positive number is less, than the answer is still negative
Because that is how the opposite of a number is defined.
-You must memorize -To add 2 integers with different signs, find the difference of their absolute value -To subtract an integer, add it's opposite
if the signs are the same you must add its opposite.
to subtract an integer, add its opposite or additive inverse.
Subtracting an integer is the same as adding its opposite.Examples:In the following examples, we convert the subtracted integer to its opposite, and add the two integers.7 - 4 = 7 + (-4) = 312 - (-5) = 12 + (5) = 17-8 - 7 = -8 + (-7) = -15-22 - (-40) = -22 + (40) = 18Note that the result of subtracting two integers could be positive or negative.
adding and subtracting integers is when you add and minus 2 numbers
if they are two positive numbers, do it normally.If there is a negative and a positive, change it to addition and switch the SECOND integer sign. Only works with two integers in a subtraction question.Example: (-32)-(+2)= (-34) / (-32)+(-2)=(-34)
Some do, some don't. The operations are equivalent and people do what they are more comfortable with.
when you add two positive integers the answer is always positive when you add two negative integers the answer is positive when you add one negative and on positive integer, the answer is negative subtracting two negative numbers gets a negative answer subtracting two positive numbers- the answer depends subtracting a negative and positive number- the answer depends, the positive number would have to be bigger than the negative to achieve a negative number, and if the positive number is less, than the answer is still negative
Because of the definition of addition and subtraction. When looking at a real number line: when you add you move to the left or up, when you add the opposite of a number you move in the opposite direction.
When you add, subtract, or multiply integers, you get integers. When you divide one integer by another one, you may or may not get an integer.
Adding IntegersTo add integers, one must consider the following two rules to be a successful.If you want to think of it on the number line you start from 0 and when you add a positive number you go that much to the right, and when you add a negative number you go that much to the left. When adding two positive integers, just add like normal. When adding one positive integer, and one negative integer, it is like subtracting a positive number from a positive number. When adding two negative integers, it is like subtracting a positive number from a negative number.