Find the Predecessor: Determining the Number Before 2100

Q: What's the difference between predecessor and successor?

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!

Q: Why is this concept important in math?

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

Q: How do I remember which operation to use?

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

Predecessor Identification with Large Numbers

Select the predecessor of the number 2100:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Select the predecessor of the number 2100:

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

Now, let's perform the calculation:

$2100 - 1 = 2099$

Therefore, the predecessor of 2100 is $2099$ .

Final Answer

$2099$

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

Test your knowledge with interactive questions

Which number succeeds the number 9209?

FAQ

Everything you need to know about this question

What's the difference between predecessor and successor?

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?

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

Why is this concept important in math?

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?

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?

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

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