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Why is it that when subtracting an integer gives the same result as adding the opposite?
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.
Is the opposite of an integer an integer?
yes. the opposite of a positive integer is the same except negative and vice versa ( ex: the opposite integer of -6 is 6. if you multiply them, it equals zero)
What is the opposite integer of -15?
15
Which integer has an opposite of 9?
In the context of an additive opposite, the answer is -9.
Which integer is the opposite of 15?
The "opposite" of 15 would be its additive inverse, or -15.
What statement about subtracting integers is always true?
When subtracting integers, the result is equivalent to adding the opposite of the integer being subtracted. Specifically, for any integers ( a ) and ( b ), the statement ( a - b ) can be rewritten as ( a + (-b) ). This means that subtracting an integer is always the same as adding its negative.
Why is it that when subtracting an integer gives the same result as adding the opposite?
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.
Why does subtracting a number give the same result as adding its opposite?
adding its opposite?
What happens if you add an integer and its opposite?
When you add an integer and its opposite, the result is always zero. This is because the opposite of an integer is the same number with the opposite sign, effectively canceling it out. For example, if you take 5 and its opposite, -5, their sum is 5 + (-5) = 0. Thus, the addition of any integer and its opposite yields a sum of zero.
When you subtract a positive integer from a negative integer the result is always positive?
Yes because you are always adding.
How do we subtract integers?
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.
What is the opposite integer of 243?
The opposite of 243 is -243.
Is an integer and its opposite called an additive inverse of each other?
Yes, an integer and its opposite are called additive inverses of each other. This means that when you add the integer and its opposite, the result is zero. For example, if the integer is 5, its additive inverse is -5, since 5 + (-5) = 0.
What is the oppostie of the opposite of an integer?
The opposite of an integer is its additive inverse, which means if the integer is ( x ), then its opposite is ( -x ). Therefore, the opposite of the opposite of an integer ( x ) would be ( -(-x) ), which simplifies back to ( x ). Thus, the opposite of the opposite of an integer is the integer itself.
If you add integers that are negative then your answer will be positive?
No. Adding negative integers will result in an integer that is more negative.
What is the answer for Lesson 3 Reteach Subtract Integers-algebra?
To subtract integers in algebra, you can use the rule of adding the opposite. This means that when you subtract an integer, you add its opposite. For example, to solve ( a - b ), you can rewrite it as ( a + (-b) ). This approach helps simplify the operation and makes it easier to find the result.
When you subtract a negative integer from a positive integer the result is always positive?
Yes, because subtrating a negative number is the same thing as adding a positive number.
