Number Sequence Problem: Finding the Successor to 999

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

A successor is the number that comes after (add 1), while a predecessor is the number that comes before (subtract 1). For 999: successor = 1000, predecessor = 998.

Q: Why does 999 + 1 equal 1000 and not 9910?

When adding 1 to 999, we follow place value rules. The 9 in ones place becomes 10 (write 0, carry 1), then each 9 becomes 10, giving us 1000. We don't just put numbers side by side!

Q: Is there a successor to every number?

Yes! Every whole number, integer, and even decimal has a successor. Just add 1 to any number to find what comes next in the sequence.

Q: How do I remember which operation to use?

Think of moving forward on a number line. To go to the next number (successor), you move right by adding 1. To go to the previous number (predecessor), you move left by subtracting 1.

Q: What makes 999 to 1000 special?

This transition crosses from a 3-digit number to a 4-digit number! It's a great example of how place value works when we 'carry over' from the hundreds place to create a new thousands place.

Successor Numbers with Place Value Transition

Which number succeeds the number 999?

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Step-by-step written solution

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Understand the problem

Which number succeeds the number 999?

Step-by-step solution

To solve this problem, let's outline the steps:

Step 1: Recall that the successor of a number is the number plus one.
Step 2: We are given the number 999.
Step 3: Apply the successor formula: $n + 1$ .

Now, let's apply these steps:
Step 1: We have the number 999.
Step 2: According to the successor rule, we add 1 to 999.
Step 3: Perform the calculation: $999 + 1 = 1000$ .

Therefore, the number that succeeds 999 is $1000$ .

Final Answer

$1000$

Key Points to Remember

Essential concepts to master this topic

Definition: The successor is always the given number plus one
Technique: Add 1 to any number: $999 + 1 = 1000$
Check: Verify that 1000 comes right after 999 on the number line ✓

Common Mistakes

Avoid these frequent errors

Subtracting 1 instead of adding 1
Don't subtract 1 from 999 to get 998 = predecessor, not successor! This gives you the number that comes before, not after. Always add 1 to find the successor of any number.

Practice Quiz

Test your knowledge with interactive questions

Select the predecessor of the number 2100:

FAQ

Everything you need to know about this question

What's the difference between successor and predecessor?

A successor is the number that comes after (add 1), while a predecessor is the number that comes before (subtract 1). For 999: successor = 1000, predecessor = 998.

Why does 999 + 1 equal 1000 and not 9910?

When adding 1 to 999, we follow place value rules. The 9 in ones place becomes 10 (write 0, carry 1), then each 9 becomes 10, giving us 1000. We don't just put numbers side by side!

Is there a successor to every number?

Yes! Every whole number, integer, and even decimal has a successor. Just add 1 to any number to find what comes next in the sequence.

How do I remember which operation to use?

Think of moving forward on a number line. To go to the next number (successor), you move right by adding 1. To go to the previous number (predecessor), you move left by subtracting 1.

What makes 999 to 1000 special?

This transition crosses from a 3-digit number to a 4-digit number! It's a great example of how place value works when we 'carry over' from the hundreds place to create a new thousands place.

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