Solving the Expression 5 × 3 × 22 ÷ 4 - 1 Using BODMAS

Understanding how to solve mathematical expressions in the correct order is crucial for anyone looking to improve their math skills. One popular method to achieve this is the BODMAS rule. In this article, we will walk through the process of solving the expression 5 × 3 × 22 ÷ 4 - 1 step-by-step using BODMAS.

BODMAS Rule

The BODMAS rule stands for:

B - Brackets O - Orders (Powers and Square Roots, etc.) D - Division M - Multiplication A - Addition S - Subtraction

This rule serves as a clear guide on which operations to perform first when solving a mathematical expression.

Step-by-Step Solution

Let's apply the BODMAS rule to the given expression: 5 × 3 × 22 ÷ 4 - 1

Brackets (B)

There are no brackets in this expression, so we move straight to the next step.

Orders (O)

We look for any exponents or powers. Here, we have 22, which equals 4.

5 × 3 × 2? ÷ 4 - 1

Division (D)

Next, we perform the division from left to right.

5 × 3 × 4 ÷ 4 - 1

5 × 3 × 1 - 1 (since 4 ÷ 4 1)

Multiplication (M)

After division, we move to the multiplication.

5 × 3 × 1 - 1

15 × 1 - 1 (since 5 × 3 15)

15 - 1 (since 15 × 1 15)

Subtraction (S)

Finally, perform the subtraction.

15 - 1 7

Using Mathematical Notation

You can also write the expression using mathematical notation to make it clearer:

53 × 22 ÷ 4 - 1

Let's break it down step-by-step:

53 125 22 4 125 × 4 ÷ 4 - 1 500 ÷ 4 - 1 125 - 1 7

Therefore, the final answer is 7.

Conclusion

By following the BODMAS rule, we can accurately solve mathematical expressions step-by-step. This method ensures that operations are performed in the correct order, leading to the right solution. The expression 5 × 3 × 22 ÷ 4 - 1 equals 7.

Understanding and applying the BODMAS rule is beneficial for students and professionals alike, helping to improve their mathematical skills and problem-solving abilities.