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Chapter 10: Problem 32

Subtract. $$ -18-63 $$

Short Answer

Expert verified
-81

Step by step solution

01

Identify the operation

You need to subtract 63 from -18. This can be written as: -18 - 63
02

Rewrite the subtraction as an addition

Subtracting a positive number is equivalent to adding its negative. So, -18 - 63 can be rewritten as: -18 + (-63)
03

Add the negative numbers

When adding two negative numbers, you add them as if they were positive and then put a negative sign in front of the result. So: | -18 | + | -63 | = 18 + 63 = 81 Therefore, -18 + (-63) = -81

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Key Concepts

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

Subtraction of Integers
Subtraction of integers can be a bit tricky, especially when dealing with negative numbers. The key to understanding subtraction is to think of it in terms of addition. For instance, subtracting a positive number is the same as adding a negative number. To subtract 63 from -18, rewrite the subtraction as an addition:
  • -18 - 63 turns into -18 + (-63).
By changing the subtraction operation into addition, we can apply rules for adding integers more easily.
Negative Numbers
Negative numbers represent values less than zero. When dealing with negative numbers, keeping track of their signs (+ or -) is crucial. Negative numbers can be the result of operations involving integers below zero. For instance:
  • -18 represents -18 units below zero.
  • -63 represents -63 units below zero.
In our problem, combining -18 and -63 means going further into the negative range. Understanding this concept will help in correctly handling arithmetic operations involving negative numbers.
Addition of Integers
Adding integers is a fundamental arithmetic operation. When adding two negative integers, the process involves adding their absolute values and then assigning a negative sign to the result. For example, in the problem
  • -18 + (-63),
you add the absolute values of 18 and 63, which equals 81. Since both integers are negative, the final result is negative: -81. This rule simplifies handling operations with negative integers, letting you combine them easily.
Remember:
  • Negative + Negative = Larger Negative.

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Most popular questions from this chapter

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