25 * 25

Understand the Problem

The question is asking for the result of multiplying 25 by 25. This involves basic multiplication.

Answer

The answer is $ 625 $.

Steps to Solve

Set up the multiplication problem

Write down the numbers you want to multiply: $$ 25 \times 25 $$

Multiply the numbers

You can do the multiplication directly or break it down using the distributive property. Let's break it down: $$ 25 = 20 + 5 $$ Thus, $$ 25 \times 25 = (20 + 5) \times 25 $$

Use the distributive property

Now apply the distributive property: $$ (20 + 5) \times 25 = 20 \times 25 + 5 \times 25 $$

Calculate each part

First, calculate $20 \times 25$: $$ 20 \times 25 = 500 $$ Then calculate $5 \times 25$: $$ 5 \times 25 = 125 $$

Add the results together

Now, add the two results: $$ 500 + 125 = 625 $$

The result of multiplying 25 by 25 is ( 625 ).

More Information

Multiplying two numbers such as 25 by 25 is a basic arithmetic operation. Knowing multiplication tables can help quickly find such products. Fun fact: The number ( 625 ) is a perfect square, as it equals ( 25^2 ).

Tips

Forgetting to carry over when doing long multiplication.
Confusing the numbers (like mistaking ( 25 \times 25 ) for ( 25 \times 20 )).
Not properly adding the partial products in the distributive step.

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