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

Question

Are the expressions the same or not?

20x 20x

2×10x 2\times10x

Video Solution

Step-by-Step Solution

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

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

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

Therefore, the solution to the problem is Yes.

Answer

Yes