Which property does this demonstrate?
Understand the Problem
The question is asking to identify which mathematical property is demonstrated by the equation 18 ÷ 1 = 18. This involves understanding properties of arithmetic operations.
Answer
The property demonstrated is the Identity Property.
Answer for screen readers
The property demonstrated by the equation $18 \div 1 = 18$ is the Identity Property.
Steps to Solve
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Identify the operation
The equation given is $18 \div 1 = 18$. Here, we are performing division. -
Understand the Identity Property
The Identity Property states that when you perform an operation (in this case, division) with a specific number (1 for division), the original number remains unchanged. Thus, for any number $a$, $a \div 1 = a$. -
Check the other properties
- Commutative Property: This property states that the order of the numbers does not affect the result in addition or multiplication. It does not apply here because division is not commutative.
- Associative Property: This property relates to how numbers are grouped in addition or multiplication. It also does not apply to this division since it's only a single operation here.
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Conclusion
Since dividing a number by 1 gives us the number itself, the property demonstrated is the Identity Property.
The property demonstrated by the equation $18 \div 1 = 18$ is the Identity Property.
More Information
The Identity Property is fundamental in mathematics, illustrating that a number divided by one remains unchanged. This property is critical for performing arithmetic and is essential for understanding more complex mathematical concepts.
Tips
- Confusing the Identity Property with Commutative or Associative properties: The Identity Property specifically focuses on keeping a number unchanged when operated with one in division, while the others relate to the arrangement or grouping of numbers.
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