Evaluate for x = -6 and y = 3.

x
2
y

-12
-6
-3
6
12

To evaluate the expression \( x \times 2 \times y \) for \( x = -6 \) and \( y = 3 \), follow these steps:

1. Substitute \( x = -6 \) and \( y = 3 \) into the expression:
   \[
   -6 \times 2 \times 3
   \]

2. First, multiply \( -6 \times 2 \):
   \[
   -12
   \]

3. Then multiply \( -12 \times 3 \):
   \[
   -36
   \]

So, the value of the expression is \(-36\).

Would you like further details or explanations?

Here are 5 related questions for further exploration:

1. What is the value of \( x \times y \) when \( x = 5 \) and \( y = -4 \)?
2. How would the value of \( x \times 2 \times y \) change if \( x = 7 \) and \( y = -2 \)?
3. Can you simplify the expression \( x \times y \times 2 \) before substituting the values?
4. What happens to the result if both \( x \) and \( y \) are positive?
5. How does changing the order of multiplication affect the result in this case?

**Tip:** Remember that the order of multiplication doesn't affect the result, thanks to the commutative property of multiplication!

This problem guides students through evaluating the expression x × 2 × y for x = -6 and y = 3, using the commutative property of multiplication. It provides a step-by-step solution, making it perfect for students in Grades 5-7 who are learning arithmetic and algebraic principles.

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