Name the property shown by the following statement: 9x+0=9x?
Identidy Property of Addition
This property is known as the "additive identity property," or as I like to call it, the "zero hero property." When you add zero to any number, it remains unchanged. Like a superhero with the power to do nothing!
The property shown by the statement 9x + 0 = 9x is the Additive Identity Property.
The property shown by the given statement: 9x + 0 = 9x is called the identity property of addition or the additive identity property.
Explanation on how to arrive at the answer:
To identify the property shown by the given statement, we need to understand what each part represents.
- The "9x" term represents a quantity that is dependent on the value of "x". In other words, it can vary depending on the value of "x".
- The "+ 0" term represents the addition of zero.
Now, let's analyze the statement step by step:
9x + 0 = 9x
The statement demonstrates that when you add zero to any quantity "9x", the result remains the same as the original quantity "9x". In this case, the "0" serves as the additive identity element, as it does not affect the value of "9x" when added.
Hence, the property shown by the given statement is the identity property of addition or the additive identity property, which states that adding zero to any number or variable does not change the value of that number or variable.