91Ó°ÊÓ

Negative numbers are numbers with a value less than zero. They are represented with a minus (-) sign in front.
These numbers are useful in many areas such as temperature measurements, financial calculations, and for representing losses or depths.
For example, if the temperature is -5 degrees, it means 5 degrees below zero.
Here are some key points to remember about negative numbers:

• Negative numbers are always less than positive numbers and zero.
• When comparing two negative numbers, the one with the smaller absolute value is actually greater.
• Adding a negative number is like subtracting a positive number.

Subtraction involves taking one number away from another. In this exercise, we subtract 6 from -4.
This makes things a bit trickier because it involves negative numbers.
Subtraction can be thought of in different ways, such as:

• Taking something away from a larger amount (e.g., 10 - 4).
• Finding the difference between two numbers.

When dealing with negative numbers in subtraction, think about adding their absolute values and applying the appropriate sign.
For example, in ewlineewline-4 - 6, we can rewrite this as ewline-4 + (-6).ewlineThis changes the subtraction problem into an addition problem where both numbers are negative.
This means: ewline-4 + (-6) = -10.

The absolute value of a number is its distance from zero on the number line, regardless of direction.
For example, the absolute value of -4 is 4, and the absolute value of 6 is 6.
It's always positive.
Absolute values are helpful when dealing with negative numbers.
Here are some key uses and properties of absolute value:

• Provides a measure of magnitude without considering direction.
• Helpful in real-world applications like distance and magnitude calculations.
• The absolute value of a number is never negative.

In our exercise, we considered the absolute values of -4 and 6 when performing the subtraction.
This allows us to simplify the problem and perform the necessary calculations correctly.
Therefore, ewline-4 - 6 can be interpreted with absolute values: ewlineewline|-4| = 4,ewline|6| = 6.ewlineThen,ewline4 + 6 = 10, and because the original numbers were negative, the result is ewline-10.