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Negative numbers are values less than zero. They are represented with a minus sign (-). Understanding negative numbers is essential in algebra because they often appear in equations and expressions.

When subtracting a larger number from a smaller number, the result will always be negative. This rule helps us anticipate the sign of our answer. For instance, subtracting 87 from 48, as in the exercise 48 - 87, we know our result will be negative because 87 is bigger than 48. Thus, the result: 48 - 87 = -39.

Working with negative numbers is essential for solving many algebraic expressions. Always remember to observe the signs and apply the basic rules of arithmetic to ensure correct results.

Subtraction is one of the four basic arithmetic operations. It represents the operation of removing objects from a collection. In the context of numbers, it involves finding the difference between two values.

Here's a quick way to understand subtraction:

• Minuend: The first number in a subtraction (e.g., 48 in 48 - 87)
• Subtrahend: The second number to be subtracted (e.g., 87 in 48 - 87)
• Difference: The result of subtraction (e.g., -39 in 48 - 87 = -39)

When subtracting a larger number from a smaller one, the result is a negative number. This is because you are essentially calculating how much more the larger number is than the smaller one and assigning a negative value to indicate the deficit. In the given exercise, subtracting 87 from 48 results in -39.

Basic arithmetic includes four key operations: addition, subtraction, multiplication, and division. These operations are the foundation for all mathematical calculations.

Subtraction is integral to basic arithmetic. Here are some key points:

• Subtraction is taking one number away from another.
• When dealing with whole numbers, the result can be positive, zero, or negative.
• Using a number line can help visualize subtraction.

Let's apply these points to our exercise: 48 - 87. This operation involves taking 87 away from 48.
Since 87 is larger than 48, the left side of 48 on the number line we move leftward past zero, resulting in a negative number: -39.
Understanding these basics helps us tackle more complex algebraic expressions and ensures we have a solid mathematical foundation.