Find the Predecessor and Successor: Numbers Adjacent to 2000

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

The predecessor comes before a number (subtract 1), while the successor comes after a number (add 1). Think of it like a number line where you move one step left or right!

Q: Why is this concept important in math?

Understanding consecutive numbers helps with patterns, sequences, and number sense. It's the foundation for more advanced topics like arithmetic sequences and number theory!

Q: How do I remember which operation to use?

Think of it this way: predecessor sounds like "pre" (before), so subtract. Successor sounds like "success" (moving forward), so add!

Consecutive Numbers with Large Values

Select both the successor and predecessor of the number 2000:

$\Box,2000,\Box$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Select both the successor and predecessor of the number 2000:

$\Box,2000,\Box$

Step-by-step solution

To solve this problem, we first need to determine the predecessor of 2000. The predecessor is found by subtracting 1 from the number:

Predecessor: $2000 - 1 = 1999$

Next, we find the successor of 2000. The successor is calculated by adding 1 to the number:

Successor: $2000 + 1 = 2001$

Thus, the predecessor of 2000 is 1999, and the successor is 2001.

Therefore, the sequence with the number 2000 and its consecutive neighbors is given by:

$1999,2000,2001$

Comparing this with the provided choices, we can confirm that the correct choice is : $1999,2001$ .

Final Answer

$1999,2001$

Key Points to Remember

Essential concepts to master this topic

Definition: Predecessor is one less, successor is one more
Calculation: Predecessor: $2000 - 1 = 1999$ , Successor: $2000 + 1 = 2001$
Check: Verify the sequence flows correctly: 1999, 2000, 2001 ✓

Common Mistakes

Avoid these frequent errors

Adding or subtracting 10 instead of 1
Don't add or subtract 10 to find neighbors = wrong sequence like 1990, 2000, 2010! This confuses place value with consecutive counting. Always add or subtract exactly 1 for immediate neighbors.

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 predecessor and successor?

The predecessor comes before a number (subtract 1), while the successor comes after a number (add 1). Think of it like a number line where you move one step left or right!

Do these rules work for any number, even negative ones?

Yes! For any number, predecessor = number - 1 and successor = number + 1. For example, the predecessor of -5 is -6, and the successor is -4.

Why is this concept important in math?

Understanding consecutive numbers helps with patterns, sequences, and number sense. It's the foundation for more advanced topics like arithmetic sequences and number theory!

What if the question asks for multiple predecessors or successors?

Just keep subtracting or adding 1! For two predecessors of 2000: $1999, 1998$ . For two successors: $2001, 2002$ .

How do I remember which operation to use?

Think of it this way: predecessor sounds like "pre" (before), so subtract. Successor sounds like "success" (moving forward), so add!

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