Number Before 4030: Identify the Predecessor

Number Sequences with Predecessor Identification

The number after me is 4030. What number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
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Understand the problem

The number after me is 4030. What number am I?

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Step-by-step solution

To solve the problem, we need to determine the number that comes immediately before 4030 in a sequential series.

Step 1: Understand that consecutive numbers differ by one. If we have a number x x , the next number after x x is x+1 x + 1 .

Step 2: Given that 4030 is the number after the unknown number, we can set up the relationship:
Let the unknown number be x x , then:

x+1=4030 x + 1 = 4030

Step 3: Solve for x x by subtracting 1 from both sides of the equation:

x=40301 x = 4030 - 1

Step 4: Perform the calculation:

x=4029 x = 4029

Therefore, the number you are looking for is 4029 4029 .

3

Final Answer

4029 4029

Key Points to Remember

Essential concepts to master this topic
  • Rule: Consecutive numbers differ by exactly one unit
  • Technique: If next number is 4030, subtract 1: 4030 - 1 = 4029
  • Check: Add 1 to your answer: 4029 + 1 = 4030 ✓

Common Mistakes

Avoid these frequent errors
  • Adding 1 instead of subtracting
    Don't add 1 to 4030 thinking 'after' means addition = 4031! This gives the number that comes after 4030, not before. Always subtract 1 when finding the number that comes before another number.

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 does 'the number after me' mean exactly?

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It means you need to find the number that comes immediately before the given number in counting order. If 4030 comes after you, then you are one less than 4030.

Is there a formula for finding predecessors?

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Yes! The predecessor of any number n is simply n1 n - 1 . So the predecessor of 4030 is 40301=4029 4030 - 1 = 4029 .

How is this different from finding the successor?

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A predecessor comes before (subtract 1), while a successor comes after (add 1). Think: predecessor = previous, successor = next!

What if the number ends in zero like 4030?

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It doesn't matter what digits the number contains! Whether it's 4030, 2000, or 9870, you always subtract 1 to find the predecessor.

Can I check my answer without adding?

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Yes! Count up from your answer: if 4029 is correct, then counting 4029, 4030 should show 4030 comes right after 4029.

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