Complete the Sequence: Finding Numbers Before and After 6000

Q: What exactly are predecessor and successor numbers?

The predecessor is the number that comes immediately before your given number, and the successor comes immediately after. Think of counting: 5999, 6000, 6001.

Q: Why do we subtract 1 for predecessor and add 1 for successor?

Because we want the very next numbers in the counting sequence! If you're counting up from 5999, the next number is 6000. If you keep counting, 6001 comes next.

Q: Does this work for all numbers, even big ones like 6000?

Yes! The rule is the same whether you have 5, 50, 500, or 6000. Just add 1 for the next number and subtract 1 for the previous number.

Q: How can I double-check my answer?

Count in your head or on paper: predecessor, given number, successor. They should be three numbers in a row, like 5999, 6000, 6001. Each number should be exactly 1 more than the previous.

Q: What if I see answer choices that don't follow this pattern?

Those are incorrect choices meant to test if you understand the concept! Stick to the rule: predecessor = number - 1, successor = number + 1.

Number Sequences with Immediate Predecessors

Complete the next and previous number

$\Box,6000,\Box$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the next and previous number

$\Box,6000,\Box$

Step-by-step solution

To solve this problem, we need to find the numbers just before and after 6000. This involves simple arithmetic calculations.

Finding the Predecessor:
The predecessor is the number before 6000. To find it, we subtract 1 from 6000:
$\text{Predecessor} = 6000 - 1 = 5999$ .
Finding the Successor:
The successor is the number after 6000. To find it, we add 1 to 6000:
$\text{Successor} = 6000 + 1 = 6001$ .

Thus, the complete sequence is $5999, 6000, 6001$ .

Now, we compare this result to the provided choices. Our calculations match the correct choice:

The correct answer to the problem is: $5999,6001$ .

Final Answer

$599,601$

Key Points to Remember

Essential concepts to master this topic

Rule: Predecessor equals given number minus 1, successor adds 1
Technique: For 6000: predecessor is $6000 - 1 = 5999$
Check: Verify sequence flows naturally: 5999, 6000, 6001 in order ✓

Common Mistakes

Avoid these frequent errors

Subtracting or adding wrong amounts
Don't subtract 10 or 100 from 6000 = 5990 or 5900! This gives numbers too far away. The predecessor and successor are always exactly 1 less and 1 more than the given number. Always add or subtract exactly 1.

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 exactly are predecessor and successor numbers?

The predecessor is the number that comes immediately before your given number, and the successor comes immediately after. Think of counting: 5999, 6000, 6001.

Why do we subtract 1 for predecessor and add 1 for successor?

Because we want the very next numbers in the counting sequence! If you're counting up from 5999, the next number is 6000. If you keep counting, 6001 comes next.

Does this work for all numbers, even big ones like 6000?

Yes! The rule is the same whether you have 5, 50, 500, or 6000. Just add 1 for the next number and subtract 1 for the previous number.

How can I double-check my answer?

Count in your head or on paper: predecessor, given number, successor. They should be three numbers in a row, like 5999, 6000, 6001. Each number should be exactly 1 more than the previous.

What if I see answer choices that don't follow this pattern?

Those are incorrect choices meant to test if you understand the concept! Stick to the rule: predecessor = number - 1, successor = number + 1.

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