Find the Predecessor: Determining the Number Before 2100

Predecessor Identification with Large Numbers

Select the predecessor of the number 2100:

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Step-by-step written solution

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Understand the problem

Select the predecessor of the number 2100:

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Step-by-step solution

To solve this problem, we'll find the predecessor of 2100 by performing a simple calculation.

Let's outline the steps:

  • Step 1: Identify the given number: n=2100 n = 2100 .
  • Step 2: Apply the formula for a predecessor: subtract 1 from the given number.

Now, let's perform the calculation:

21001=2099 2100 - 1 = 2099

Therefore, the predecessor of 2100 is 2099 2099 .

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Final Answer

2099 2099

Key Points to Remember

Essential concepts to master this topic
  • Definition: Predecessor is the number that comes immediately before
  • Method: Subtract 1 from given number: 2100 - 1 = 2099
  • Check: Verify predecessor plus 1 equals original: 2099 + 1 = 2100 ✓

Common Mistakes

Avoid these frequent errors
  • Adding 1 instead of subtracting 1
    Don't add 1 to find predecessor = gets successor instead! Adding gives 2100 + 1 = 2101, which comes after 2100, not before. Always subtract 1 to find the number that comes before.

Practice Quiz

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Select the predecessor of the number 2100:

FAQ

Everything you need to know about this question

What's the difference between predecessor and successor?

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Predecessor comes before a number (subtract 1), while successor comes after a number (add 1). Think of it like a number line - predecessor is one step left, successor is one step right!

Does every number have a predecessor?

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Yes! Every whole number, positive or negative, has both a predecessor and successor. Even zero has a predecessor: 01=1 0 - 1 = -1 .

Why is this concept important in math?

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Understanding predecessors helps with number patterns, counting backwards, and solving problems involving sequences. It's also useful for understanding negative numbers!

How do I remember which operation to use?

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Think 'PRE-decessor = PREVIOUS' - it comes before, so you go backward by subtracting 1. For successor, think 'SUCCESS comes after' - so you add 1!

What if I'm working with larger numbers like 10,000?

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The same rule applies regardless of size! The predecessor of 10,000 10,000 is 10,0001=9,999 10,000 - 1 = 9,999 . Always subtract exactly 1.

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