Division of Integers


 
 
Concept Explanation
 

Division of Integers

Rules on How to Divide Integers are:

  • Step 1: Divide their absolute values.
  • Step 2: Determine the sign of the final answer (known as a quotient) using the following conditions.
  • Condition 1: If the signs of the two numbers are the same, the quotient is always a positive number.
  • This illustration shows the rules of dividing integers with the same sign. For the first case, a positive integer divided by another positive integer is always positive. On the other hand, a negative integer divided by another negative integer is always positive. Simply put, the quotient of two integers with the same sign will always yield a positive integer solution.

  • Condition 2: If the signs of the two numbers are different, the quotient is always a negative number.
  • This diagram shows the rules that govern when we divide two integers with different signs. The first case implies that a positive integer divided by a negative integer results to an answer of an integer with a negative sign. Likewise, a negative integer divided by a positive integer outputs an integer with a negative sign as well. In summary, the quotient of two integers with different signs will always yield a negative integer solution.

    Example : Divide the two integers (-56) by (-7) :

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    Sample Questions
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    Question : 1

    A tanker contains 500 ltr. water. Due to a small hole in the tanker, the quantity of water is decreasing at the rate of 9 ltr. every hour. What will be the quantity of water in liters in the tank after 10 hours?

    Right Option : A
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    Question : 2

    Find the value of [32 + 2 x 17 + (-6)] ÷ 15

    Right Option : A
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    Explanation
    Question : 3

    The value of [(-4) x (-9) x (-25)] / [(-2) x (-3) x (-5)] is:

    Right Option : C
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