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Home >> Closure Property >> Multiplication of Integers >>

Closure Property (Multiplication of Intergers)

Addition of Whole Numbers Addition of Integers Subtraction of Whole Numbers Subtraction of Integers Multiplication of Whole Numbers
Multiplication of Integers Division of Whole Numbers Division of Integers

Before understanding this topic you must know What is Multiplication of Integers ?

Explanation
Integers are closed under Multiplication, which mean that multiplication of integers will also give integers.

Following examples further explains this property :-

Example 1 = Explain Closure Property under multiplication with the help of given integers 10 and 5
Answer = Find the product of given Integers ;
10 × 5 = 50
Since the product of 10 and 5 is equals to 50 and 50 is a positive integer,
So, we can say that Integers are closed under Multiplication


Example 2 = Explain Closure Property under multiplication with the help of given integers (-1) and 23
Answer = Find the product of given Integers ;
(-1) × 23 = (-23)
Since the product of (-1) and 23 gives us (-23) and (-23) is a negative integer,
So, we can say that Integers are closed under Multiplication


Example 3 = Explain Closure Property under multiplication with the help of given integers (-10) and (-69)
Answer = Find the product of given Integers ;
(-10) × (-69) = (-690)
Since the product of (-10) and (-69) gives us (-690) and (-690) is a negative integer,
So, we can say that Integers are closed under Multiplication


Example 4 = Explain Closure Property under multiplication with the help of given integers 20 and (-5)
Answer = Find the product of given Integers ;
20 × (-5) = (-100)
Since the product of 20 and (-5) is equals to (-100) and (-100) is a negative integer,
So, we can say that Integers are closed under Multiplication



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Study More Solved Questions / Examples

  • Explain closure property for multiplication of integers, with variables x and y.
  • Explain closure property for multiplication of integers, with three positive integers 2, 3, 4.
  • Explain closure property for multiplication of integers, with two positive integers 10 & 23.
  • Explain closure property for multiplication of integers, with two negative integers i.e. (-5) & (-3)
  • Explain closure property for multiplication of integers, with three negative integers i.e. (-5), (-6) & (-3)
  • Explain closure property for multiplication of integers, with two negative integers i.e. (-2), (-5) and two positive integers i.e., 8, 10.
  • Study the following table:

    10X3=30It's an integer
    -5X2=??
    -20X-8=??
    6X-7=??


    First row is solved; try solving all the other rows in similar manner. What do you understand by studying the entire table?
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