round numbers are one of the fundamental concepts in mathematics. They're numbers that don't have floating components or decimal components and they cover positive numbers, zeroes and negative numbers. In everyday life and various branches of science, integers play an important role, especially in basic arithmetic operations such as addition, reduction, multiplication and division. This article will cover the definition of the integer, the valid operations, and some of its applications.

Rule Number Definition

The integer is a number that belongs to the following set:

In this set, we have three types of numbers:

1. Positive Round NumberOne, two, three...
2. ZeroIt's a neutral number.
3. Negative Round NumberOne, two, three...

Geometrically, the integer can be represented at the number line with a negative integer position on the left of zero and the positive integer on the right of zero.

Operation on Round Number

Round numbers support various basic arithmetic operations. Here are the basic operations that apply to integers:

1. Fold Round Numbers

The sum of two integers involves adding or reducing its value by the number sign. The basic rule of addition is:

• Positive Number + Positive Number: The result is a larger positive number.
• Negative: The result is a larger negative number.
• Positive Number +: Do subtract and give the sign of the greater number.

Example:

• 5+3=85 + 3 = 85+3=8
• −5+(−3)=−8-5 + (-3) = -8−5+(−3)=−8
• 5+(−3)=25 + (-3) = 25+(−3)=2

2. Reduction to Round Number

Reductions can be considered as addition to the opposite of the given number. Reduction rule:

• a hablb = a + (hatib) a - b = a + (-b) a

Example:

• 5−3=25 – 3 = 25−3=2
• 5 + 3 = 85 - (-3) = 85
• −5−3=−8-5 – 3 = -8−5−3=−8

3. Multiply Round Numbers

Multiply integers follow simple sign rules:

• Positive × Positive = Positive.
• Negative..
• Positive × Negative = Negative.

Example:

• 4 × 3 = 124 times 3 = 124 × 3 = 12
• 4 × = 12-4 times (-3) = 12
• 4 × 3 = 12-4 times 3 = -12 # 12 #

4. Round Number Divisions

The division of integers also follows the same set of marks as multiplication:

• Positive = Positive.
• Negative Negative = Positive.
• Positive Negative = Negative.

The integer division can produce integers or fractions depending on the outcome. For example:

• 6÷3=26 ÷ 3 = 26÷3=2
• −6÷3=−2-6 ÷ 3 = -2−6÷3=−2
• 6÷(−3)=−26 ÷ (-3) = -26÷(−3)=−2

However, if the division is exhausted, the result can be fractions or decimal numbers.

5. Substance Operation on Round Number

Round numbers and operations have some very important properties, which is:

• AssociativeFor multiplication and multiplication, numbers grouping sequence has no effect on results.
  • (a + b) + c = a +
  • (a × b)
• CommutativeThe multiplication and multiplication are commutative, meaning the order of operations has no effect.
  • a + b = b + aa + b = b + aa
  • a × b = b × aa times b = b times aa
• DistributionThe multiplication is distributive to addition.
  • a × (b + c)

Round Number Applications

The terms of the round and operation are very important in various applications of daily life and science. Some examples include:

• Financial Count: A round number used to record financial transactions involving debt (negative) and income (positive).
• Temperature CountTemperatures are often measured in integers, especially on Celsius or Fahrenheit scale, with temperatures below zero showing negative integers.
• Physics and Engineering: In the field of physics, integers are used to calculate momentum, style and speed in different directions, both positive and negative.
• Computer Data Settings: In computer programming, integers are often used to store and manage discrete data, such as value in games, counters and timestamps.

Conclusion

Round numbers are the main foundation in mathematics that underlies many basic arithmetic operations. They include positive, negative, and zero, and they play an important role in addition, subtraction, multiplication and division. The profound understanding of integers and operations is paving the way for mathematical applications in various areas of science and daily life.

source: Larson, R. & Edwards, B. H. (2018). Cengage Learning.