Respuesta :
Answer:
Moving places of a digit changes its value.
We can see the following example.
Say we have a number 1234.
We have 1 at thousand place with a value of 1000.
We have 2 at hundreds place with a value of 200.
We have 3 at tens place, with a value of 30.
We have 4 at ones place with a value of 4.
Say we interchange the numbers and make it 4321.
Now we have 4000 , then 300, then 20 then 1.
We can see that the 4 at ones place is just 4 but at thousand place, its value is 4000.
Hence, it is clear that moving the place of a digit change its value.
The place of a digit in a number is called the place value of the digit. Changing the place of a digit will do any of the following:
- The value of the number increases
- The value decreases
- The value remains unchanged
Represent the number as x. Assume the value of x is:
[tex]x = 25561[/tex]
The first possible scenario is as follows:
If digit 2 is moved to the right, the number becomes
[tex]x = 52561[/tex]
52561 is greater than 25561.
Hence, moving a digit can increase the value of the digit
Another possible scenario is as follows:
If the position of 2 and 1 are swapped, the number becomes
[tex]x = 15562[/tex]
15562 is less than 25561.
Hence, moving a digit can decrease the value of the digit
The last scenario is as follows:
If the first 5 is moved to the right, the number remains the same. i.e.
[tex]x = 25561[/tex]
Hence, moving the place of a digit can also cause the value of the digit to remain unchanged.
Learn more about place values at:
https://brainly.com/question/17533134
