Operaciones con Enteros: Suma, Resta, Multiplicación y División

Study Notes

Operations with Integers

Integers are a set of numbers that includes all positive numbers, negative numbers, and 0. They can never be a fraction or decimal. In mathematics, we perform four basic operations with integers: addition, subtraction, multiplication, and division. In this article, we will explore these operations in detail.

Addition of Integers

Addition of integers involves combining two or more integers. The rules for adding integers based on the signs are as follows:

If the signs of both integers are the same, the result will have the same sign. Two positives equal a positive, and two negatives equal a negative.
If the signs of the two integers are different, the integer with the larger absolute value will determine the sign of the result.

For example, let's say we have two integers: 7 and -3. Since the signs of both integers are different, we will use the second rule. The larger absolute value is 7, so the sign of the result will be positive: 7 + (-3) = 4.

Subtraction of Integers

Subtraction of integers involves finding the difference between two integers. The rules for subtracting integers based on the signs are as follows:

Keep the sign of the first integer the same.
Change the operator from subtraction to addition.
Change the sign of the second integer.

Multiplication of Integers

Multiplication of integers involves finding the product of two or more integers. The rules for multiplying integers based on the signs are as follows:

If the signs are the same, multiply or divide, and the answer is always positive.
If the signs are different, multiply or divide, and the answer is always negative.

For example, let's say we have two integers: 7 and -3. Since the signs are different, we will use the second rule. The product will be negative: 7 * (-3) = -21.

Division of Integers

Division of integers involves finding the quotient of two integers. The rules for dividing integers based on the signs are as follows:

If the signs are the same, divide and the answer is always positive.
If the signs are different, divide and the answer is always negative.

For example, let's say we have two integers: 7 and -3. Since the signs are different, we will use the second rule. The quotient will be negative: 7 / (-3) = -2.333.

In conclusion, operations with integers involve adding, subtracting, multiplying, and dividing integers according to specific rules based on their signs. These operations are crucial in various mathematical and real-life scenarios, such as budgeting and scientific applications.

Description

Explora en detalle las operaciones básicas con enteros: suma, resta, multiplicación y división. Aprende las reglas fundamentales para cada operación y cómo aplicarlas en diferentes situaciones matemáticas y de la vida real.