Question

Order the expressions by choosing > , < , or =10
2² x 5² ____ 10²
2⁵ x 2² ____ 2¹⁰

Answer 1

To order the expressions 102² x 5², 10²2⁵ x 2², and 2¹⁰, we need to evaluate each expression and compare the results.

Step-by-step explanation:

To order the expressions 102² x 5², 10²2⁵ x 2², and 2¹⁰, we need to evaluate each expression and compare the results.

1. First, calculate 102² x 5²: 102² is equal to 10,000 and 5² is equal to 25, so the result is 10,000 x 25.
2. Next, calculate 10²2⁵ x 2²: 10² is equal to 100, 2⁵ is equal to 32, and 2² is equal to 4, so the result is 100 x 32 x 4.
3. Finally, compare the two results: 10,000 x 25 ______ 100 x 32 x 4.

Now you can compare the results and choose the correct symbol (>, <, or =) to order the expressions.