Compare Expressions: Is 20x Equal to 2×10x? Step-by-Step Analysis

Are the expressions the same or not?

$20x$

$2\times10x$

To solve this problem, we'll follow these steps:

• Step 1: Simplify the expression $2 \times 10x$.
• Step 2: Compare the simplified expression with $20x$.

Now, let's work through each step:
Step 1: The expression $2 \times 10x$ can be rewritten using associativity as $2 \times (10 \times x)$.
Step 2: Apply the associative property of multiplication: $(2 \times 10) \times x = 20 \times x = 20x$.

Comparing this with the given expression, we see that both expressions are indeed the same, as they simplify to $20x$.

Therefore, the solution to the problem is Yes.