Find the Numbers Before and After 10999: Sequential Number Challenge

Number Sequences with Large Five-Digit Numbers

Complete the previous and following number:

,10999, \Box,10999,\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:

,10999, \Box,10999,\Box

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Identify the given number: 10999 10999 .
  • Find the predecessor by subtracting 1 from 10999 10999 .
  • Find the successor by adding 1 to 10999 10999 .

Now, let's work through each step:
Step 1: The problem provides us with the number 10999 10999 .
Step 2: To find the predecessor, we calculate 109991=10998 10999 - 1 = 10998 .
Step 3: To find the successor, we calculate 10999+1=11000 10999 + 1 = 11000 .

Therefore, the numbers that complete the sequence are 10998 10998 and 11000 11000 .

3

Final Answer

10998,11000 10998,11000

Key Points to Remember

Essential concepts to master this topic
  • Rule: Previous number equals given number minus 1
  • Technique: Calculate 10999 - 1 = 10998 and 10999 + 1 = 11000
  • Check: Verify 10998 + 1 = 10999 and 11000 - 1 = 10999 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing place value when adding or subtracting
    Don't subtract 1 from just the last digit when it's 9 = wrong answer like 10998! This ignores how place value works with carrying. Always perform the complete subtraction: 10999 - 1 = 10998, and addition: 10999 + 1 = 11000.

Practice Quiz

Test your knowledge with interactive questions

What number follows 70,099?

FAQ

Everything you need to know about this question

Why does 10999 + 1 equal 11000 instead of 10100?

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When adding 1 to 10999, the 9 in the ones place becomes 10, so we write 0 and carry 1 to the tens place. This continues: tens (9+1=10), hundreds (9+1=10), thousands (0+1=1). The result is 11000!

What's the pattern when a number ends in 999?

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When you add 1 to any number ending in 999, all the 9s become 0s and the digit to the left increases by 1. For example: 2999 + 1 = 3000, 10999 + 1 = 11000.

How do I remember predecessor and successor?

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Predecessor means "comes before" (subtract 1), and successor means "comes after" (add 1). Think: predecessor = previous, successor = succeeding/following.

Do I always subtract and add exactly 1?

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Yes! In number sequences, consecutive numbers are exactly 1 apart. The predecessor is always exactly 1 less and the successor is always exactly 1 more than the given number.

What if I make a mistake with the carrying?

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Practice with smaller numbers first! Try 99 + 1 = 100, then 999 + 1 = 1000. Always check your answer by working backwards: does 11000 - 1 = 10999? ✓

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