To decrease 24 by 75, we need to subtract 75 from 24. However, since 75 is greater than 24, the result will be negative. Here's the step-by-step solution:
Step-by-Step Calculation
First, we start with the initial number, which is 24. Then, we subtract 75 from it.
Calculation Breakdown
The calculation can be broken down as follows: 24 - 75. To perform this subtraction, we can use the standard subtraction method or convert the whole numbers into negative and positive values for easier calculation.
| Operation | Value |
|---|---|
| Initial Value | 24 |
| Subtraction Value | 75 |
| Result | -51 |
The calculation 24 - 75 equals -51 because you are removing 75 units from 24, which results in a deficit of 51 units, hence the negative sign.
Alternative Calculation Method
An alternative way to view this subtraction is by using the concept of adding the opposite. Instead of subtracting 75 from 24, you can add -75 to 24. This approach may help in understanding why the result is negative.
Using Addition of Opposites
By adding -75 to 24, we are essentially combining a positive value with a negative value. The negative value is larger in magnitude, so the overall result will be negative.
This can be represented as 24 + (-75), which simplifies to -51. This method reinforces the concept that subtracting a larger number from a smaller one yields a negative result.
What happens when you subtract a larger number from a smaller one?
+When you subtract a larger number from a smaller one, the result is always negative. This is because the smaller number cannot cover the larger one, resulting in a deficit, which is represented by a negative value.
Can you use addition to represent subtraction in math?
+Yes, subtraction can be represented as the addition of an opposite. For example, subtracting 5 from 3 can be viewed as adding -5 to 3, which results in -2. This method is useful for understanding certain mathematical operations and concepts.
In conclusion, decreasing 24 by 75 results in -51, which can be calculated directly through subtraction or by using the concept of adding the opposite. Both methods lead to the same outcome, illustrating the fundamental principles of arithmetic operations with negative numbers.
