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What is negative plus negative?

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  • Last Updated : 23 Aug, 2022
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Algebra is one of the oldest branches of mathematics, dealing with number theory, and geometrical analysis. Algebra is the study of mathematical symbols and rules including manipulating these mathematical symbols. Algebra covers practically everything, from solving simple equations to studying abstractions.

Algebra also covers a wide range of subjects, from fundamental problem solving to abstraction studies. Basically concentrated on variables with undefined values. The branch of mathematics deals with variables and arithmetic operations performed across these symbols. These variables have no set values. In our daily lives, we face problems. Certain values are always keep on changing.

These values or variables are frequently represented in algebra by symbols such as a, b, c, d, x, y, z, p, or q. These variables are handled using different mathematical operations such as addition, subtraction, multiplication, and division to determine their values.

Expression is a combination of terms that are combined together using mathematical operations such as subtraction, addition, multiplication, and division.

  • A constant is a number or numerical figure that has a fixed value.
  • A variable is a symbol with an unfixed value.
  • A term is defined as a constant, a single variable, or a combination of a variable and a constant combined with multiplied or division.

Examples of Expression in Algebra: 5x+9, 7x + 12, and so on …

Variables: A variable is an alphanumeric character that represents a numerical value or a number. A variable in algebra is used to represent an unknown amount of unknown values.

Most often, the alphabets ‘a’,’b’,’c’,p,q,’x’,’y’, and ‘z’ are used as variables in equations. The term variable refers to the value of another variable or equation.

What is negative plus negative?

Solution:

There are different rules of adding negative numbers .

In general, addition means to increase the value. In the case of integers, however, an addition operation might result in an increase or decrease in the value of the given number.

When we add a negative integer, the given number’s value decreases. 

Type of numbers  Operation sign  Outcome  Example 
Positive + Positive  + Positive (+) 3 + 2 = 4
Negative + Negative  + Negative (-)  (-3)+(-2) = -5
Positive + Negative  + + or – (depends on greater number’s sign)  3 +(-2) = 1
or
(-3) +2 = -1

therefore when we add negative plus negative term then the result will be in negative .

Whenever we Add two negative integers results in a sum of absolute value of integers with a negative sign. 

Solved Examples based on Integers

Example 1: Add two positive numbers 5 and 2. What will be the final sign?

Solution:

Given numbers: 5 and 2 

          now add: 5 + 2

                        = 7 

If we add two positive numbers then the result will be positive number .

Example 2: Add two negative numbers 5 and 2. What will be the result?

Solution:

Given numbers: 5 and 2 

       now add: -5 + (-2)

                    = -5 – 2

                    = -7 

If we add two negative numbers then the result will be negative number.

Example 3: If we add negative and positive numbers -5 and 2? What will be the result?

Solution:

Given numbers: -5 and 2 

          now add: -5 + 2

                        = -3 

If the greater number is negative then the result will be in negative.

Example 4:  If we add negative and positive numbers 5 and -2? What will be the result?

Solution:

Given numbers: 5 and -2

                       now add: 5 + (-2)

                                     = 5 – 2

                                     = 3

If the greater number is positive then the result will be positive.

FAQs on Integers

Question 1: What are integers?

Answer:

Integers are the combination of zero, natural numbers, and their additive inverse. It can be represented in a number line excluding the fractional part. It is denoted by Z.

Question 2: What is an integer formula?

Answer:

An integer is a set of positive and negative numbers along with zero and does not have any formula.

Question 3: What are the examples of integers?

Answer:

The examples of integers are 3, -5, 0, 99, -45, etc.

Questions 4: Can integers be negative?

Answer:

Yes, the integers can be negative. Additive inverse of natural numbers are negative integers, such as -1,-2,-3,-4,-5, and so on

Question 5: What are the types of integers?

Answer:

Integers are of three types:
Zero, Positive integers, and Negative integers

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