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The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems. The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems.
What else can I help you with?
Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
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.
Is the opposite integer of 82?
The opposite integer of 82 is -82. The opposite of any integer is obtained by changing its sign. Therefore, since 82 is positive, its opposite is negative.
Is the absolute value of every integer its opposite?
No. The absolute simply returs the positive of any integer. ABS(6) = 6 and ABS(-6) = 6.
How do you know the opposite of a nonzero integer?
The opposite of a nonzero integer is found by changing its sign. For example, if you have a nonzero integer like +5, its opposite is -5. This relationship holds for any nonzero integer; the opposite will always be the same number with an inverted sign. Thus, the opposite of a nonzero integer ( x ) is simply ( -x ).
Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
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.
Is the opposite integer of 82?
The opposite integer of 82 is -82. The opposite of any integer is obtained by changing its sign. Therefore, since 82 is positive, its opposite is negative.
Is the absolute value of every integer its opposite?
No. The absolute simply returs the positive of any integer. ABS(6) = 6 and ABS(-6) = 6.
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)
How do you know the opposite of a nonzero integer?
The opposite of a nonzero integer is found by changing its sign. For example, if you have a nonzero integer like +5, its opposite is -5. This relationship holds for any nonzero integer; the opposite will always be the same number with an inverted sign. Thus, the opposite of a nonzero integer ( x ) is simply ( -x ).
Is the quotient of an integer and its opposite always positive?
the quotient of an integer and its opposite is never negative.
What integer is the opposite of -6?
The opposite of an integer is the integer that, when added to it, results in a sum of zero. In this case, the opposite of -6 is 6, since -6 + 6 = 0. The opposite integer is also known as the additive inverse.
What does every integer have?
Every integer has a unique value and can be classified as either positive, negative, or zero. Additionally, every integer has an infinite number of rational numbers that can be formed by dividing it by other integers. Integers also have properties such as being whole numbers and belonging to the set of rational numbers. Lastly, each integer has a corresponding opposite or additive inverse.
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.
What is the opposite word for the integer number?
A non-integer.
if the first integer is greater than the second integer then the opposite of the first integer is less than the opposite of the second integer?
Yes, if the first integer (let's call it ( a )) is greater than the second integer (let's call it ( b )), then the opposite (or negative) of the first integer (-( a )) will indeed be less than the opposite of the second integer (-( b )). This is because negating both integers reverses their order; since ( a > b ), it follows that -( a < -b ).
