Are the expressions the same or not?
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Are the expressions the same or not?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The expression can be rewritten using associativity as .
Step 2: Apply the associative property of multiplication: .
Comparing this with the given expression, we see that both expressions are indeed the same, as they simplify to .
Therefore, the solution to the problem is Yes.
Yes
Are the expressions the same or not?
\( 20x \)
\( 2\times10x \)
Two expressions are equivalent if they have the same value for all possible values of the variable. Think of them as different ways to write the same thing!
This is called the associative property of multiplication. It means gives the same result as .
It doesn't matter! Pick the one that looks easier to work with. In this case, simplifying the numbers first () makes it clearer.
Then they wouldn't be equivalent! For example, simplifies to , which is not the same as .
Yes! Addition is also associative: . But be careful - subtraction and division are not associative.
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