Integer subtraction: Problem type 2



Introduction

In this lesson, the same rules of integer subtraction apply as discussed in previous lesson. Here problems with little higher level of difficulty are solved.

Example 1

Subtract

4 (9)

Solution

Step 1:

Rule: Two like signs become a plus sign

So, (9) = + 9;

So, 4 (9) = 4 + 9

Step 2:

The signs of the numbers are different. So, we subtract the absolute values of the integers.

|9| |4| = 9 4 = 5

Step 3:

The sign of the number with larger absolute value (9) is +.

We keep this sign with the difference obtained in above step

So, 4 (9) = 4 + 9 = +5

Example 2

Subtract

8 (2)

Solution

Step 1:

Rule: Two like signs become a plus sign

So, (2) = + 2;

So, 8 (2) = 8 + 2

Step 2:

The signs of the number are same. So, we add the absolute values of the integers.

|8| +| 2| = 8 + 2 = 10

Step 3:

The sign of the numbers is +.

We keep this sign with the sum obtained in above step

So, 8 (2) = 8 + 2 = +10

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