Multiplication Of Integers


 
 
Concept Explanation
 

Multiplication Of Integers

Multiplication of Integers:  The rules that govern on how to multiply and divide integers are very similar.

Rules on How to Multiply Integers:

  • Step 1: Multiply their absolute values.
  • Step 2: Determine the sign of the final answer (in this case it is called the product because we are multiplying) using the following conditions.
  • Condition 1: If the signs of the two numbers are the same, the product is always a positive number.
  • This is an illustration showing that when you multiply two numbers with the same sign, the answer is always positive. That is, positive times positive is positive and negative times negative is negative. In math symbols, we have (+)*(+)=+ and (-)*(-)=+.

  • Condition 2: If the signs of the two numbers are different, the product is always a negative number.
  • This diagram shows that when you multiply two numbers with different signs, the answer is always negative. That is, positive times negative is negative and negative times positive is negative. In math symbols, we have (+)*(-)=- and (-)*(+)=-.

    Example: Multiply the integers (+4) and (-7)

    Solution: (+4) x (-7) = -28Multiply or find the product of the absolute values (4 x 7 = 28) . Now, determine the sign of the final answer. The rule states that if the signs of the two integers are different then the final answer will be negative. Hence, -28.

    Example: The opposite of   ( - 2)   x   7  x   ( - 1 )  is  __________

    Solution: Multiply the absolute values (2 x 7 x 1 = 14). The product of two negative integers is positive. H

    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    Multiplication of a negative integer for even times gives a  _________  result.

    Right Option : C
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    Question : 2

    In an objective type test containing 20 questions. A student is to be awarded +3 marks for every correct answer, –2 for every incorrect answer and zero for not writing any answer. If Amit attempted 18 question correctly and 2 question incorrectly, then what is his total score? 

    Right Option : A
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    Question : 3

    Multiplying a negative integer for odd times gives a  _______  result.

    Right Option : B
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