Math and Arithmetic

# What is rule of addition of integers?

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Rule: The sum of two negative integers is a negative integer.

Rule: The sum of two positive integers is a positive integer.

Procedure: To add a positive and a negative integer (or a negative and a positive integer), follow these steps:

1. Find the absolute value of each integer.

2. Subtract the smaller number from the larger number you get in Step 1.

3. The result from Step 2 takes the sign of the integer with the greater absolute value.

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## Related Questions

negetive integers are not closed under addition but positive integers are.

Addition and multiplication are operations on integers that are commutative.

Rule 1: The term is integer, not interger.Rule 2: The answer depends on what you want to do with it or them.

One rule is that the product of two integers with unlike signs will have a minus sign for the product.

The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.

The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.

Yes it is : a + b = b + a for all integers a and b. In fact , if an operation is called addition you can bet that it is commutative. It would be perverse to call an non-commutative operation addition.

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)

Add two positive integers and you ALWAYS have a positive integers. The positive integers are closed under addition.

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

The set of integers is closed with respect to multiplication and with respect to addition.

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.

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

Any time you add integers, the sum will be another integer.

While solving problems with large integers, don't always rely on the number line. Using integer arithmetic we can solve the problem of large integer. We need a rule for subtracting integers and the rule is: Rule: To subtract an integer, add its opposite.

When dividing numbers that are different the answer will be negative.

Is the set of negative interferes a group under addition? Explain,

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