**Subtracting integers by adding the opposite :**

We can use the fact that subtracting an integer is the same as adding its opposite to solve problems.

**Problem 1 : **

Subtract -4 from 7.

**Solution : **

**Step 1 : **

7 - (-4)

Rewrite the above subtraction as addition by taking opposite of -4, that is "+4"

7 + (+4)

**Step 2 : **

In the above addition, the integers 7 and 4 are having same sign, that is positive.

So, find the absolute values of 7 & 4 and add the absolute values.

|7| = 7 and |4| = 4

Sum of the absolute values :

7 + 4 = 11

**Step 3 : **

Since both the integers 7 and 4 are having the same positive sign, we have to take positive sign to the result.

So, we have 7 + (+4) = 11

Hence, 7 - (-4) = 11

**Problem 2 : **

Subtract -2 from -5.

**Solution : **

**Step 1 :**

-5 - (-2)

Rewrite the above subtraction as addition by taking opposite of -2, that is "+2"

-5 + (+2)

**Step 2 : **

In the above addition, the integers 5 and 2 are having different signs.

So, find the absolute difference of the integers without the actual signs.

|5 - 2| = |3| = 3

**Step 3 : **

In the two integers 5 and 2, the sign of the bigger integer is negative. So, we have to take negative sign to the answer. That is -3

Hence, -5 - (-2) = -3

**Problem 3 : **

Subtract 4 from -9.

**Solution : **

**Step 1 :**

-9 - (4)

Rewrite the above subtraction as addition by taking opposite of 4, that is "-4"

-9 + (-4)

**Step 2 : **

In the above addition, the integers 9 and 4 are having same sign, that is negative.

So, find the absolute values of -9 & -4 and add the absolute values.

|-9| = 9 and |-4| = 4

Sum of the absolute values :

9 + 4 = 13

**Step 3 : **

Since both the integers -9 and -4 are having the same negative sign, we have to take negative sign to the result.

So, we have -9 + (-4) = -13

Hence, -9 + (-4) = 13

After having gone through the stuff given above, we hope that the students would have understood "How to subtract integers by adding the opposite".

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