Adding a negative integer is like subtracting a positive one. If you accept that 7 - 7 = 0 (because anything minus itself equals zero) then it stands to reason that 7 + -7 would equal zero as well.
As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.
It will be the same as its positive counterpart to the tenth power.
To subtract integers, you can think of subtraction as adding the opposite. For example, to subtract a positive integer, you add its negative counterpart. If you have a negative integer, you add its positive counterpart instead. This approach helps simplify the operation and determine the result based on the rules of adding positive and negative numbers.
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
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.
As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.
It will be the same as its positive counterpart to the tenth power.
To subtract integers, you can think of subtraction as adding the opposite. For example, to subtract a positive integer, you add its negative counterpart. If you have a negative integer, you add its positive counterpart instead. This approach helps simplify the operation and determine the result based on the rules of adding positive and negative numbers.
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
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.
Yes. The product of a negative integer and a positive integer is a negative integer.
The opposite of the integer 2 is -2. In mathematics, the opposite of a number is found by changing its sign. Therefore, while 2 is a positive integer, -2 is its negative counterpart.
When the positive integer is greater than the negative integer.
When they are added together and the absolute value of the positive integer is bigger than the absolute value of the negative integer or when the negative integer is subtracted from the positive integer.
positive
When the absolute value of the positive integer is smaller than the absolute value of the negative one.
No, a positive minus a negative can be either or positive or a negative.