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# Can you explain why subtracting an integer is adding its opposite?

Updated: 4/28/2022

Wiki User

9y ago

plus times plus = plus

minus times plus = minus

plus times minus = minus

minus times minus = plus

so when you subtract a number it is the same as adding its negative; for example

7 - 4 = 3

7 + (1)(-4) = 3

Wiki User

9y ago

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Q: Can you explain why subtracting an integer is adding its opposite?
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Related questions

### What is the difference between subtracting a negative integer and adding a positive integer?

In the end, there is no difference because subtracting a negative integer is the same as adding a positive integer. 1-(-1)=2 1+1=2

### How is subtracting a negative integer related to its absolute value and addition?

Subtracting a negative integer is the same as adding its absolute value.

### What does opposite mean in maths?

Adding is the opposite of subtracting

### Why does the addition of a negative integer to its opposite equal 0?

Adding a negative is the same as subtracting a positive. 9 - 9 = 0 9 + (-9) = 0

### Explain how to subtract a positive integer and a negative integer using absolute value?

Subtracting an integer is the same as adding its opposite.Examples:In the following examples, we convert the subtracted integer to its opposite, and add the two integers.7 - 4 = 7 + (-4) = 312 - (-5) = 12 + (5) = 17-8 - 7 = -8 + (-7) = -15-22 - (-40) = -22 + (40) = 18Note that the result of subtracting two integers could be positive or negative.

### How is adding integer and subtracting integer related?

They are different because they both heve negative and positive.

### Negative integer is subtracted from a negative integer?

Subtracting a negative is like adding a positive.

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### Why is it that when subtracting an integer gives the same result as adding the opposite?

Because of the definition of addition and subtraction. When looking at a real number line: when you add you move to the left or up, when you add the opposite of a number you move in the opposite direction.