Math integers are the members of the set of numbers that include the positive numbers, the negative numbers, and the zero. As simple as it sounds, understanding how to solve them can help one develop a better mathematical and problem-solving analytical skill. This guide is designed to provide a detailed analysis of integer addition with clear and concise steps and real-life applications.
Understanding Integers
Before going to addition let us review what integers are:
Positive Integers:
All the numbers which are greater than zero (1, 2, 3, 100, 1000 and so on).
Negative Integers:
All the numbers which are lesser than zero for example (-1, -2, -3, -100, -1000) respectively.
Zero:
It is neither positive nor negative.
It is possible to present integers on the number line where zero is in the middle of the line and positive numbers on the right and negative on the left.
Rules of Integer Addition
Addition of Integers of the Same Sign:
If both integers are positive: In this case add the two numbers without regards to their plus or minus signs and mark the answer plus:
- For instance, 5 + 3 = 8.
If both integers are negative: In this case add the two numbers without regards to their plus or minus signs and mark the answer minus:
- For instance, (-5) + (-3) = -8.
Adding Integers of Different Signs:
Find the difference between the larger absolute value and the smaller one.
The sign of the result depends on the sign of the integer which has the greatest absolute value.
For instance, – 5 + 3|-5|= 5 and |3|= 35 – 3 = 2
Since |-5| > |3| the solution is negative: -5 + 3 = -2
For instance: 5 + (−3)|5| = 5 and |-3| = 35 – 3 = 2
Since |5| > |-3| the solution is negative: 5 +(- 3) = 2
Practical Examples
Let's apply these rules to a few scenarios:
-
Scenario 1: Temperature Changes Imagine the temperature is -5°C, and it rises by 3°C. To find the new temperature, we perform -5 + 3 = -2°C.
-
Scenario 2: Financial Transactions If you have $10 in your account and withdraw $15, you can represent this as 10 + (-15) = -5. This shows your account is overdrawn by $5.
-
Scenario 3: Elevation Changes A hiker starts at an elevation of 200 meters and descends 300 meters. The change in elevation is 200 + (-300) = -100 meters, indicating they are now 100 meters below their starting point.
Comments
Post a Comment