The magnitude of the sum is the difference between the magnitudes of the two numbers.
The sign of the sum is the sign of the number with the larger magnitude.
(The "magnitude" of a number is just the size of the number without any sign.)
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.
With both positive it's positive, with both negative it's negative.
Adding positive and negative fractions is similar to adding integers in that both operations involve combining values to find a total. Just like with integers, when adding fractions, you must consider the signs; for example, adding a positive fraction to a negative fraction is akin to adding a positive integer to a negative integer, where you effectively find the difference between their absolute values. Additionally, both operations require finding a common reference point, whether it's a common denominator for fractions or a number line for integers. Ultimately, the rules of arithmetic—such as combining like signs and recognizing when to subtract—apply to both contexts.
When subtracting positive and negative integers, the key rule is to convert the subtraction into addition. Specifically, subtracting a negative integer is the same as adding its positive counterpart (e.g., ( a - (-b) ) is the same as ( a + b )). Conversely, subtracting a positive integer means you move to the left on the number line (e.g., ( a - b )). Always remember that subtracting a positive results in a decrease, while subtracting a negative results in an increase.
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
Let's use N to represent any number.N x N = NN x -N = -N-N x -N = NSo the rules are:A positive integer times a positive integer will be a positive integerA positive integer times a negative integer will be a negative integerA negative integer times a negative integer will be a positive 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.
Integer Rules
With both positive it's positive, with both negative it's negative.
The rules of integers state:~ two negatives make a positive number~one negative and one positive makes a negative number~ two positives are simply positive numbers
Adding positive and negative fractions is similar to adding integers in that both operations involve combining values to find a total. Just like with integers, when adding fractions, you must consider the signs; for example, adding a positive fraction to a negative fraction is akin to adding a positive integer to a negative integer, where you effectively find the difference between their absolute values. Additionally, both operations require finding a common reference point, whether it's a common denominator for fractions or a number line for integers. Ultimately, the rules of arithmetic—such as combining like signs and recognizing when to subtract—apply to both contexts.
When subtracting positive and negative integers, the key rule is to convert the subtraction into addition. Specifically, subtracting a negative integer is the same as adding its positive counterpart (e.g., ( a - (-b) ) is the same as ( a + b )). Conversely, subtracting a positive integer means you move to the left on the number line (e.g., ( a - b )). Always remember that subtracting a positive results in a decrease, while subtracting a negative results in an increase.
Positive + Positive = Positive Negative + Negative = Negative If it's a negative + a positive, it depends on the numbers. For example: -2 + 1 = -1 -107 + 213 = 106
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
When you add: a negative and a negative: you get a negative a positive and a positive: you get a positive a positive and a negative or a negative and a positive: Subtract the addend with the smaller value from the greater one. If the greater one is positive, your answer will be positive. If the greater addend is negative, your answer will be negative.
Rule: Positive + Positive = Positive 12+12=24 Positive - Positive = Positive or Negative 12-6=6 | 12-13=(-1) Positive + Negative = Greater numbers sign in the answer 14+(-18)=(-4) | 18+(-14)=4 Positive - Negative = Positive 8-(-8)=16 Negative + Negative = Negative -12+(-12)=(-24) Negative - Negative = Positive or Negative (-8)-(-9)=1 | (-8)-(-7)=(-1) by, Patrick Macarilay AKA, macason
The rules for addition are as follows:The sum of two negative integers is a negative integerThe sum of two positive integers is a positive integerThe rules for subtraction are as follows:If they are two positive numbers, do it normallyIf there is a negative and a positive ,change it to addition and switch the SECOND integer sign