Solving 25250 ÷ 550 Using the BODMAS Rule

The problem of 25250 ÷ 550 can be easily solved using the BODMAS (Bracket, Orders, Division/Multiplication, Addition, Subtraction) rule. In this article, we will explain step-by-step how to approach this calculation, ensuring a clear and accurate solution.

Understanding the BODMAS Rule

The BODMAS rule is a fundamental principle used in mathematics to prioritize the order of operations. Here's how it breaks down:

B - BracketsO - Orders (Powers and Square Roots, etc.)D - DivisionM - MultiplicationA - AdditionS - Subtraction

When solving an expression, the order of operations is as follows: start with brackets, then orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Solving 25250 ÷ 550

The equation given is 25250 ÷ 550. To solve this, we will follow the BODMAS rule step-by-step.

Step 1 - Division

First, we need to perform the division part of the equation:

25250 ÷ 550

Using the BODMAS rule, we focus on the division operation first. This can be simplified as:

25250 ÷ 550  46

Simplifying 25250 ÷ 550:

25250 ÷ 550  46

This can be further simplified by breaking it down:

25250 ÷ 550  (25 × 1000   250) ÷ 550

 (25 × 1000) ÷ 550   250 ÷ 550

 25000 ÷ 550   250 ÷ 550

 45.4545   0.4545

 46

Step 2 - Simplified Calculation

Alternatively, it can be simplified as:

25250 ÷ 550  25 × (250 ÷ 550)

Simplify 250 ÷ 550:

250 ÷ 550  0.4545

Then,

25 × 0.4545  11.3636363636... ≈ 11.36

However, considering the initial simplification, the exact answer is 46 when rounded.

Alternative Calculation Method

Another approach can be:

25250 ÷ 550  5050 ÷ 550

This can be broken down as:

5050 ÷ 550  (50 × 100   50) ÷ 550

Simplify the equation:

50 × (100   1) ÷ 550

50 × 101 ÷ 550

 5050 ÷ 550

Perform the final division:

5050 ÷ 550  9.2

Then add the initial multiplication:

25 × 9.2  230

Adding the remainder:

230   10  240

Thus, 25250 ÷ 550 results in 46.

Conclusion

To summarize, the problem of 25250 ÷ 550 can be solved by following the BODMAS rule. The result is 46. Understanding the hierarchy of operations ensures you solve such problems accurately and efficiently.

If you have any more questions or need further clarifications, feel free to ask. Happy calculating!