When working with numerical expressions, it’s important to understand how to manipulate numbers and operators to find equivalent expressions. In this article, we will explore the expression 5 2 5 1 and determine which expression is equivalent to it. Let’s delve into the world of mathematics and discover the answer!
Understanding the Expression
The expression 5 2 5 1 consists of four numbers and three mathematical operators. To solve this expression, we need to follow the order of operations, which dictates that we should perform operations in the following sequence:
- Perform operations inside parentheses
- Exponentiation
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
By applying the order of operations, we can simplify the expression 5 2 5 1 to find its equivalent form.
Solving the Expression
Let’s break down the expression 5 2 5 1 and solve it step by step:
1. Perform Multiplication and Division:
Starting from the left, we have the numbers 5 and 2 with no operator in between. When two numbers are placed next to each other, it implies multiplication. Therefore, 5 2 can be simplified as 5 * 2 = 10.
After simplifying the first two numbers, the expression now becomes 10 5 1.
2. Continue with Multiplication and Division:
We now have the numbers 10 and 5 with no operator in between. Similar to the previous step, we perform multiplication, resulting in 10 * 5 = 50.
After simplifying, the expression becomes 50 1.
3. Perform the Final Multiplication:
Lastly, we have the numbers 50 and 1 with no operator in between. Multiplying these two numbers gives us 50 * 1 = 50.
Therefore, the expression 5 2 5 1 is equivalent to 50.
Conclusion
In conclusion, the expression 5 2 5 1 simplifies to 50 through the proper application of the order of operations. By understanding how to manipulate numbers and operators, we can determine the equivalent form of mathematical expressions. Remember to follow the order of operations to arrive at the correct solution!