Question

which expression is equivalent to the expression below?

( w + w + w )

answer

( \bigcirc 3w ) ( \bigcirc w^3 )
( \bigcirc 3 + w ) ( \bigcirc 3 )

Explanation:

Step1: Understand the expression

The expression is \( w + w + w \), which means adding \( w \) three times.

Step2: Recall the concept of multiplication

Multiplication is a shortcut for repeated addition. So, adding a number (or variable) \( n \) times is the same as multiplying that number (or variable) by \( n \). Here, we are adding \( w \) three times, so it is equivalent to \( 3\times w \), which is written as \( 3w \).

Step3: Eliminate other options

• \( w^{3} \) means \( w\times w\times w \), not \( w + w + w \).
• \( 3 + w \) is the sum of 3 and \( w \), not the sum of three \( w \)s.
• \( 3 \) is a constant, not related to the sum of three \( w \)s.

Answer:

A. \( 3w \)