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  2. why do negative numbers exist

    Useful for representing quantities less than zero
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    Negative numbers exist because they are useful for representing quantities less than zero. They allow us to express debts, losses, and deficiencies. Mathematicians introduced the concept of negative numbers several hundred years ago to solve problems that required dealing with values below zero.
     
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    Negative number - Wikipedia

    In mathematics, a negative number is the opposite of a positive real number. Equivalently, a negative number is a real number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset. If a quantity, … See more

    The number line
    The relationship between negative numbers, positive numbers, and zero is often expressed in … See more

    The negative version of a positive number is referred to as its negation. For example, −3 is the negation of the positive number 3. The sum of a number and its negation is equal to zero:
    That is, the negation of a positive number is the See more

    For a long time, understanding of negative numbers was delayed by the impossibility of having a negative-number amount of a physical object, for example "minus-three apples", and … See more

    The minus sign "−" signifies the operator for both the binary (two-operand) operation of subtraction (as in y − z) and the unary (one-operand) operation of negation (as … See more

    In a similar manner to rational numbers, we can extend the natural numbers N to the integers Z by defining integers as an ordered pair of natural numbers (a, b). We can extend addition … See more

     
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  5. Does a negative number really exist? - Mathematics …

    We use negative numbers to signify that our quantity is the same in magnitude but opposite in direction of what we decide to call positive (an arbitrary choice …

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      Negative numbers are the numbers that are less than zero. On the number line, the negative numbers are the ones to the left of zero. How do you recognize negative numbers? Negative numbers are designated by the "minus" sign in …

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    • Negative numbers - NRICH

      Feb 1, 2011 · In this article we're going to explore some of the earliest appearances of negative numbers and how attitudes towards them have changed over the centuries. Among the earliest people to use negative numbers in …

    • The history of negative numbers - NRICH

      Feb 1, 2011 · Maseres and his contemporary, William Friend took the view that negative numbers did not exist. However, other mathematicians around the same time had decided that negative numbers could be used as long as they had …

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    • Why do negative numbers exist as mathematical objects like the …