Understanding the Expression 1 00 / 0 - 1: Why it Results in an Undefined Value

The expression 1 00 / 0 - 1 involves addition, division, and subtraction operations. Letrsquo;s break it down step by step to understand why this expression results in an undefined value.

1. Division by Zero is Undefined in Mathematics

In mathematics, division by zero is undefined. This means the expression 0 / 0 is undefined. Division by zero leads to a mathematical singularity, as it cannot be assigned a finite value.

2. Order of Operations: PEMDAS/BODMAS

The order of operations (PEMDAS/BODMAS) is a set of rules that dictate the sequence in which mathematical operations should be performed. The rules are as follows:

Parentheses/Brackets Exponents/Orders Multiplication and Division (from left to right) Addition and Subtraction (from left to right)

According to these rules, division should be performed before addition and subtraction. Therefore, in the expression 1 00 / 0 - 1, division by zero should be addressed before moving on to addition and subtraction.

3. Why the Expression Becomes Undefined

Given that division by zero is undefined, the expression 1 00 / 0 - 1 can be reinterpreted as follows:

First, we address the division: 0 / 0 Since 0 / 0 is undefined, the entire expression 1 00 / 0 - 1 becomes undefined. When division by zero is involved, the entire expression cannot be computed to a numerical value. Hence, the expression 1 00 / 0 - 1 is undefined.

3. Conclusion

In conclusion, the expression 1 00 / 0 - 1 is undefined because division by zero is undefined in mathematics. Understanding the order of operations and the inherent limitations of division by zero is crucial for correctly interpreting and solving mathematical expressions.

Further Reading

If yoursquo;re interested in exploring more about undefined expressions and mathematical operations, consider reading up on:

Undefined Expressions Order of Operations Division by Zero

References

[1] MathisFun. (n.d.). Division by Zero. Retrieved from