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

Closure Property (Multiplication of Intergers) : Solved Examples

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

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?
After solving the entire table we get;

10X3=30It's an integer
-5X2=-10It's an integer
-20X-8=160It's an integer
6X-7=-42It's an integer


Observation
You must have observed that in red we have integers. And their respective product (which is in green) is also an integer either positive integer or negative integer.

So, we get that multiplication of integers also give us integers.
And this property is known as "Closure Property of multiplications of integers"

Related Question 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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