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In Mathematics / Middle School | 2014-01-28

Why is [tex]10 - 0 = 10[/tex], but [tex]0 \div 10 = 0[/tex]? Please explain.

Asked by Anonymous

Answer (3)

0 is the same thing as nothing right? Well if you take nothing away from 10, the answer is still 10. But if you try to divide nothing into ten groups, you still have nothing. hope this helped!

Answered by addiebarnett | 2024-06-10

The two expressions gives a different value because 0 is insignificant during subtraction but significant in division
Subtraction and Division
Note that taking the difference of a value and zero will return the original value since 0, in this case is insignificant.
For the ratio, the ratio of 0 and any constant will return zero. Hence;

10 - 0 = 10 (retirns the value of 10)
0/10 = 0 Returns the numerator

The two expressions give a different value because 0 is insignificant during subtraction but significant in division
Learn more on subtract and division here: https://brainly.com/question/4721701

Answered by abidemiokin | 2024-06-24

The result of 10 โˆ’ 0 = 10 is due to zero having no impact on subtraction, while 0 รท 10 = 0 occurs because dividing zero by any non-zero number always equals zero. These operations differ fundamentally in how they treat zero. Thus, subtraction retains the original number, whereas division results in zero if the numerator is zero.
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Answered by abidemiokin | 2024-10-10