how to solve word problems of integer Related: RD Sharma Solutions - ...
Solving Word Problems of Integers
Understanding the Problem
- Read the problem carefully and try to understand what is being asked.
- Identify the important information given in the problem.
- Write down the given information in a clear and organized manner.
Choosing the Operation
- Determine what operation is needed to solve the problem (addition, subtraction, multiplication, or division).
- Identify the correct signs (+ or -) to use for each integer.
- Use the order of operations (PEMDAS) to simplify the expression.
Checking the Solution
- Check the solution by substituting the answers back into the original problem.
- Ensure that the answer makes sense in the context of the problem.
- Double-check calculations for accuracy.
Example
Problem: A submarine is at a depth of -120 feet below sea level. If it rises 40 feet, what will be its new position?
Solution:1. Understanding the Problem:
- The submarine is currently at a depth of -120 feet.
- It rises 40 feet.
- We need to find its new position.
2. Choosing the Operation:
- To find the submarine's new position, we need to add 40 to -120.
- -120 + 40 = -80
- The submarine's new position is -80 feet below sea level.
3. Checking the Solution:
- We can check our answer by substituting -80 for the submarine's new position in the original problem.
- -80 is 40 feet higher than -120, which makes sense.
- Our calculations are correct.
Therefore, the submarine's new position is -80 feet below sea level.