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Chapter 5: Problem 139

Explain how to subtract integers.

Short Answer

Expert verified
The result of subtracting the integer 3 from 7 is 4 and the result of subtracting -2 from 5 is 7. The core rule is that subtracting a number is the same as adding its opposite.

Step by step solution

01

Representing the Integers

Consider having two integers, for example, 7 and 3. So, you have to subtract 3 from 7. It is represented as \(7 - 3 \)
02

Apply the Rule

The rule for subtracting integers is that subtracting a number is the same as adding its opposite. So, \(7 - 3\) is equal to \(7 + -3\)
03

Performing the Subtraction

Now, do the addition as per Step 2. Adding 7 and -3 together equals 4
04

Dealing with Negative Integers

Now, let's consider another operation where you are subtracting a negative integer, for example, \(5 - (-2)\). Here, apply the same rule, subtracting a number is the same as adding its opposite. So \(5 - (-2)\) becomes \(5 + 2\)
05

Subtracting the Negative Integer

Now, perform the operation per the result of Step 4. Adding 5 and 2 equals 7

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