Understanding the Meaning of 45-6.75
Introduction
When coming across mathematical expressions or equations, it is essential to understand what they represent in order to interpret and solve them correctly. One such expression is “45-6.75.” In this article, we will delve into the meaning of this mathematical equation and explore its significance in various contexts.
Breaking Down the Equation
The equation “45-6.75” comprises two numbers separated by a minus sign. The first number, 45, represents a whole number, while the second number, 6.75, involves a decimal point. This equation is a simple subtraction problem where we subtract 6.75 from 45.
Interpreting the Result
To solve “45-6.75,” we subtract the second number, 6.75, from the first number, 45. The result of this subtraction is 38.25. Therefore, the expression “45-6.75” evaluates to 38.25. This means that when 6.75 is subtracted from 45, the remaining value is 38.25.
Contextual Applications
Understanding the meaning of “45-6.75” can be useful in various real-life situations. For instance, if you are
shopping and an item costs $45, but you have a discount of $6.75, you can use this equation to determine the final price you need to pay. By subtracting 6.75 from 45, you find that the discounted price is $38.25.
Similarly, this equation can be helpful in tracking financial transactions. If you have $45 in your bank account and spend $6.75 on lunch, you can calculate the remaining balance using “45-6.75.” The result, 38.25, indicates that you will have $38.25 left in your account after the purchase.
Mathematical Representation
Mathematically, “45-6.75” can be represented using the number line. You start at 45 and move 6.75 units towards the left (subtracting direction) to reach the final value of 38.25. This visual representation demonstrates the concept of subtraction and how it affects the original number.
Expanded Calculation
Another way to understand “45-6.75” is by expanding the decimal number. By expressing 6.75 as a fraction, we can represent it as 6 and 75 hundredths (6 + 75/100). Subtracting this from 45, we subtract both the whole number parts (6) and the decimal parts (0.75) individually. Thus, 45 – 6.75 becomes 38 – 0.75, resulting in 37.25. This demonstrates how the decimal portion of a number affects the final result.
Conclusion
In conclusion, “45-6.75” represents a subtraction equation where we subtract 6.75 from 45. The result, 38.25, signifies the value remaining after subtracting 6.75 from 45. This equation has practical applications in real-life situations, such as determining discounted prices or tracking financial transactions. Understanding the meaning of mathematical expressions like “45-6.75” enables us to solve problems accurately and apply mathematical concepts in various contexts.
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