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Thought-Process to Discover Knowledge

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mathsIntegersComparing Integers

### Predecessor and Successor (Integers)

It was earlier studied that the integers (both positive and negative numbers) are in an ordered sequence. In this page, the predecessor and successor of an integer is explained.

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The predecessor of 3 is 2. Predecessors were introduced in whole numbers.

The successor of 3 is 2. Successors were also introduced in whole numbers.

The whole numbers are in an ordered sequence. 0, 1, 2, cdots

Predecessor of a number is 1 less than the number.

Successor of a number is 1 more than the number.

Integers are directed whole numbers.

3 is text(aligned:)3 or text(received:)3

-3 is text(opposed:)3 or text(given:)3

One less of text(received:)3 is text(received:)2.

One more of text(received:)3 is text(received:)4.

-3 represents text(given:)3

and 1 additionally given makes it -4.

So, the predecessor of -3 is -4.

-3 represents text(given:)3

and 1 additionally received makes it -2.

So, the successor of -3 is -2.

Integers (the directed whole numbers) are also in an ordered sequence.

The ordered sequence of integers is given as cdots,-2, -1, 0, 1, 2, cdots.

Solved Exercise Problem:

What is the predecessor of -5?

• -6
• -6
• -4
• Predecessor does not exist for negative numbers

The answer is '-6'. In the ordered sequence cdots,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, cdots, -6 is prior to -5.

Solved Exercise Problem:

What is the successor of -7?

• -6
• -6
• -8
• successor does not exist for negative numbers

The answer is '-6'. In the ordered sequence cdots,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, cdots, -6 succeeds -7.

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