Find Numbers Before and After 9999: Complete the Sequence

Number Sequences with Four-Digit Numbers

Complete the previous and following numbers:

,9999, \Box,9999,\Box

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the previous and following numbers:

,9999, \Box,9999,\Box

2

Step-by-step solution

To find the numbers before and after 9999, we will follow these steps:

  • Step 1: Identify the predecessor. The predecessor of 9999 is determined by subtracting 1 from 9999.
  • Step 2: Identify the successor. The successor of 9999 is found by adding 1 to 9999.

Let's apply these steps:

Step 1: Calculate the predecessor of 9999.
The predecessor is 99991=9998 9999 - 1 = 9998 .

Step 2: Calculate the successor of 9999.
The successor is 9999+1=10000 9999 + 1 = 10000 .

Therefore, the numbers before and after 9999 are 9998 9998 and 10000 10000 , respectively.

The correct choice among the options is option 2: 9998,10000 9998,10000 .

3

Final Answer

9998,10000 9998,10000

Key Points to Remember

Essential concepts to master this topic
  • Predecessor Rule: Subtract 1 to find the number before
  • Successor Method: Add 1: 9999+1=10000 9999 + 1 = 10000
  • Verification: Count forward and backward to confirm sequence order ✓

Common Mistakes

Avoid these frequent errors
  • Thinking 10000 is incorrect because it has more digits
    Don't avoid 10000 just because it's a five-digit number = missing the correct answer! The successor of 9999 must be 10000, even though it changes from four to five digits. Always follow the +1 rule regardless of how many digits the result has.

Practice Quiz

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What number comes before 31,000?

FAQ

Everything you need to know about this question

Why does 9999 + 1 equal 10000 instead of staying four digits?

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When you add 1 to 9999, you're at the highest four-digit number! The next number in sequence must be 10000, which naturally becomes a five-digit number. This is like counting: 9, 10 - sometimes the digit count increases.

How do I remember which number comes before and after?

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Before means subtract 1 (predecessor), and after means add 1 (successor). Think of it as moving backward or forward on a number line by one step.

What if I picked 9990 as the number after 9999?

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That's a common mistake! 9990 is actually much smaller than 9999. Remember: the number after must be larger, so 9999+1=10000 9999 + 1 = 10000 is correct.

Is there a pattern when numbers change from 4 digits to 5 digits?

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Yes! This happens at every power of 10 minus 1: 9→10, 99→100, 999→1000, 9999→10000. The pattern is all 9's followed by 1 with zeros.

How can I double-check my answer?

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Count in sequence! Start from 9998: 9998, 9999, 10000. Each number should be exactly 1 more than the previous one. You can also use a number line or calculator to verify.

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