Understanding the Role of Zero in Multiplication: A Step-by-Step Analysis
Multiplication by zero is a fundamental concept in arithmetic that often stumps learners and even experienced math enthusiasts. In this article, we'll explore the expression [22 × 4 - 3] × 211 × 0 to understand how zero interacts with other numbers in mathematical operations. We will also discuss the BODMAS rule and its application in solving such expressions.
Zero in Multiplication
Any number multiplied by zero always results in zero. This is a basic yet important principle in mathematics. For instance, in the expression [22 × 4 - 3] × 211 × 0, no matter what the other numbers are, the final product will be zero because the multiplication by zero at the end cancels out all prior results.
Solving the Expression Step-by-Step
Let's break down the expression into smaller parts and solve it step-by-step.
1. Simplify within the Subexpressions:
First, we look at the subexpression [22 × 4 - 3].
[22 × 4 - 3] 88 - 3 85
Now our expression simplifies to:
85 × 211 × 0
2. Applying Multiplication:
Next, we multiply 85 by 211. However, since one of the factors is zero, the result will be zero regardless of the product of 85 and 211.
85 × 211 × 0 0
3. Confirming with the BODMAS Rule:
The BODMAS rule (Brackets, Orders, Division/Multiplication, Addition, Subtraction) guides us to solve the expression in the correct order.
StepExpression Simplification [22 × 4 - 3] × 211 × 0[85] × 211 × 0 [85] × 211 × 085 × 211 × 0 85 × 211 × 00
As shown, the expression simplifies to zero even when the BODMAS rule is applied.
Conclusion
The expression [22 × 4 - 3] × 211 × 0 clearly demonstrates that any number multiplied by zero results in zero. This principle is crucial for understanding more complex mathematical operations and theories. If you need further assistance with similar problems, feel free to visit my profile and follow me for more such explanations and tutorials.