The positive and negative number system is an important part of arithmetic and mathematics in general. In everyday life, we use positive numbers to calculate real things, values and quantity, while negative numbers are used in situations such as debt calculations, temperatures below zero, or harmful changes. In this article, we're going to talk about the definition of positive and negative, the operation, and the applications in everyday life.

Positive and Negative Numbers

Positive and negative numbers are part of the integer system, which is a set of numbers that include positive integers, zeroes and negative integers.

1. Positive Number: Positive numbers are greater than zero, and usually used to count the number of objects or values. The positive number example includes 1, 2, 3, 10, 100, etc. symbolically, positive numbers can be written with a plus (+) sign, although in everyday practice, they are often removed. For example, + 5 is usually written as 5.
2. Negative Number: Negative numbers are smaller than zeroes and marked by minus (-). Negative numbers are often used to represent lower values than reference points, such as losing money, temperatures below zero, or positions below sea level. The negative number example is -1, -5, -10, etc.
3. Zero (0): Zero is in the middle between positive and negative numbers, acting as neutral numbers in this system. Zero is neither positive nor negative.

Positive and negative numbers are represented on the number line, with positive numbers located on the right side of zero and negative numbers on the left-hand side zero.

Arithmatic operations on Positive and Negative Numbers

Positive and negative numbers follow specific rules in basic mathematical operations such as addition, reduction, multiplication and division.

1. Collection and Reduction

• The sum of two positive numbers:
  • Example: 3 + 5 = 83 + 5 = 83 + 5 = 8
• Add positive and negative numbers: When positive numbers and negative numbers are added, the result depends on the absolute value of each number. We're going to subtract smaller numbers from larger numbers and get greater signs of numbers with greater absolute value.
  • Example: 5 + (erosion 3) = 25 + (-3) = 25 + (erosion 3) = 2
• The sum of two negative numbers:
  • Example:

2. multiplication and Divergence

• Double positive number: multiplying two positive numbers always produce positive numbers.
  • Example: 3 × 4 = 123 times 4 = 123 × 4 = 12
• Multiple positive and negative numbers: multiplying positive by negative is always negative.
  • Example:
• Double negative multiplication: multiplying the two negative numbers to produce a positive number, because the negative sign of the two numbers is negating each other.
  • Example:
• DivisionThe rule of division is similar to multiplication. The division of two positive numbers produces a positive number, the division of two negative numbers produces a positive number, whereas the divide of positive numbers by negative (or otherwise) produces a negative number.
  • Example:

3. Operating Theatre Nature

Positive and negative numbers have basic properties that also apply in other operations, such as commutative and associative properties for addition and multiplication. It means that the sequence of numbers in the addition operation or multiplication has no effect on the results.

Positive and Negative Number Applications in Daily Life

Positive and negative numbers have many practical applications in different areas of life, such as:

1. Finance: Negative numbers are often used to record debt, loss, or negative balance in bank accounts, while positive numbers are used to record profits or positive balance.
   • Example: If you have a balance account of 50000500 and spend 700700700, your balance will be 200-200 200, which means you have a 200200200 debt.
2. TemperatureIn temperature measurements, negative numbers are used to represent temperatures below zero, such as winter temperatures in some countries.
   • Example: temperatures below zero degrees Celsius in winter are often shown in negative numbers, for example.
3. GeographyIn geography, negative numbers are used to indicate elevation below sea level. For example, the Dead Sea has an altitude of about 430-430
4. Value Change: In economics and statistics, a change in positive value shows a rise, while a change in negative values shows a decline. This applies to stock charts, inflation, or currency exchange values.

Conclusion

The positive and negative number system is a very important concept in everyday life. Positive numbers are used to calculate real things like quantity, whereas negative numbers help represent situations like debt, loss or subtraction. A deep understanding of the way operations work on positive and negative numbers will help us in many aspects of life, whether it's in finance, science, or simply in simple calculations for days.

source: Stewart, I. (2017). Calculating the Cosmos: Basic Books.