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Chapter 5: Problem 5

Perform the indicated operation. $$-102.4+1.239$$

Short Answer

Expert verified
-101.161

Step by step solution

01

Understand the Problem

The task is to add two numbers: -102.4 and 1.239.
02

Align the Numbers by Decimal Point

Ensure that both numbers are written to the same number of decimal places: -102.400 + 1.239
03

Perform the Addition/Subtraction

Combine the two values, making sure to keep track of the negative sign with the larger absolute value: -102.400 + 1.239 = -101.161

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

negative numbers
When adding negative numbers to positive numbers, it's essential to understand how negative values work. A negative number has a value less than zero. When you add a positive number to a negative number, you are essentially subtracting the absolute value of the positive number from the absolute value of the negative number.
In the given exercise, -102.4 is a negative number and 1.239 is a positive number. The overall sum will take the sign of the greater absolute value, which in this case is -102.4.
arithmetic operations
Let's discuss the arithmetic operation involved in the exercise. Addition and subtraction with negatives can be tricky at first. Here鈥檚 how:
  • Adding two positive numbers always results in a positive number.
  • Adding two negative numbers results in a negative number. You add their absolute values, and the result is negative.
  • When adding a positive number to a negative number, subtract the smaller absolute value from the larger absolute value. The sign of the result will be the same as the number with the larger absolute value.
In this particular problem, we add -102.4 (negative) to 1.239 (positive).
decimal places
Adding decimal numbers requires us to keep the decimal points aligned. This ensures accurate addition of their place values.
For the exercise problem, align -102.4 and 1.239 by decimal place:
-102.400
    + 1.239
Now, add the numbers from right to left, just like whole numbers. Remember to place the decimal point directly below the other decimal points in the problem. When aligned correctly, as mentioned in Step 2 of the solution, it simplifies the addition to:
-102.400 + 1.239 = -101.161.

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Most popular questions from this chapter

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