Find the Numbers Before and After 10199: Sequence Completion

Number Sequences with Consecutive Integers

Complete the previous and following number:

,10199, \Box,10199,\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 number:

,10199, \Box,10199,\Box

2

Step-by-step solution

Let's find the numbers that complete the sequence.

  • Step 1: Find the predecessor of 10199
    We apply the formula for predecessor: 101991=10198 10199 - 1 = 10198
  • Step 2: Find the successor of 10199
    We apply the formula for successor: 10199+1=10200 10199 + 1 = 10200

Therefore, the numbers that complete the sequence are the predecessor 10198 10198 and the successor 10200 10200 .

The correct answer according to the options is: 10198,10200 10198, 10200 .

3

Final Answer

10198,10200 10198,10200

Key Points to Remember

Essential concepts to master this topic
  • Predecessor Rule: Subtract 1 to find the number before
  • Successor Technique: Add 1 to get the next number: 10199+1=10200 10199 + 1 = 10200
  • Verification Method: Check that your three numbers are consecutive with no gaps ✓

Common Mistakes

Avoid these frequent errors
  • Confusing predecessor and successor positions
    Don't put the successor before 10199 and predecessor after = backwards sequence! This creates an impossible pattern where numbers decrease then increase. Always remember: predecessor comes BEFORE (subtract 1), successor comes AFTER (add 1).

Practice Quiz

Test your knowledge with interactive questions

What number comes before 31,000?

FAQ

Everything you need to know about this question

What's the difference between predecessor and successor?

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The predecessor is the number that comes before (subtract 1), and the successor is the number that comes after (add 1). Think of it like walking in a line - predecessor is behind you, successor is in front!

Why can't the answer be 10190, 10200?

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Because 10190 to 10199 is a jump of 9, not 1! In consecutive number sequences, each number must be exactly 1 more than the previous number with no gaps.

How do I remember which operation to use?

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Use this memory trick: PREdecessor = PREVIOUS = subtract 1. SUCcessor = SUCCEEDING = add 1. The prefixes help you remember the direction!

What if the middle number ends in 9, like 10199?

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No problem! Just follow the same rules: 101991=10198 10199 - 1 = 10198 and 10199+1=10200 10199 + 1 = 10200 . The operations work the same regardless of the digits.

Can I check my answer somehow?

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Yes! Your three numbers should form a perfect sequence: 10198, 10199, 10200. Each number is exactly 1 more than the previous one, with no jumps or gaps.

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