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Is [tex]5\left(\frac{1}{5}(3)\right) = 5(5(3))?[/tex]

A. Yes; Both expressions are equal to 625.
B. Yes; Both expressions are equal to 125.
C. No; The first expression is equal to 125 and the second expression is equal to 625.
D. No; The first expression is equal to 625 and the second expression is equal to 125.

Answer :

Final answer:

The expressions 5(1/5(3)) and 5(5(3)) are not the same, with the first equal to 3 and the second equal to 75.

Explanation:

The correct answer is No; The first expression is equal to 3 and the second expression is equal to 75. Here's why:

To solve the first expression, 5(1/5(3)), you must perform the operation in the inner parenthesis first due to the order of operations. So, we compute 1/5(3) first, which equals to 0.6. Multiplying this by 5 will give us 3.

For the second expression, 5(5(3)), we must also perform the operation in the parenthesis first. So, we multiply 5 and 3 together, which equals 15. Multiplying this by 5 gives us 75.

Therefore, we find that 5(1/5(3)) = 3 and 5(5(3)) = 75, showing that the two initial expressions are not equal.

Learn more about Order of Operations here:

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