(+7)-(+3)+(-5)-(-1)

3 min read Jun 16, 2024

Solving the Equation: (+7) + (+3) + (-5) - (-1)

This article will explore how to solve the equation (+7) + (+3) + (-5) - (-1) step-by-step.

Before we begin, let's understand the key concepts:

Positive Numbers: These numbers are greater than zero and are represented with a plus sign (+) before them.
Negative Numbers: These numbers are less than zero and are represented with a minus sign (-) before them.
Adding Positive Numbers: When adding two positive numbers, the result is always positive.
Adding Negative Numbers: When adding two negative numbers, the result is always negative.
Adding a Positive and a Negative Number: When adding a positive and a negative number, the sign of the result depends on which number has a greater absolute value (the distance from zero).
Subtracting a Negative Number: Subtracting a negative number is the same as adding the positive version of that number.

Let's break down the equation:

(+7) + (+3): This is a simple addition of two positive numbers, resulting in +10.
(+10) + (-5): We now add a positive and a negative number. Since 10 is greater than 5, the result is positive. We subtract the smaller absolute value (5) from the larger (10), giving us +5.
(+5) - (-1): Subtracting a negative number is the same as adding its positive counterpart. Therefore, this simplifies to (+5) + (+1).
(+5) + (+1): This is a simple addition of two positive numbers, resulting in +6.

Therefore, the solution to the equation (+7) + (+3) + (-5) - (-1) is +6.