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
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:
| 10 | X | 3 | = | 30 | It's an integer | | -5 | X | 2 | = | ? | ? | | -20 | X | -8 | = | ? | ? | | 6 | X | -7 | = | ? | ? |
First row is solved; try solving all the other rows in similar manner. What do you understand by studying the entire table? |
| | |
