Find the Next Integer: What Number Follows 9209?

Integer Succession with Four-Digit Numbers

Which number succeeds the number 9209?

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Step-by-step written solution

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1

Understand the problem

Which number succeeds the number 9209?

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Step-by-step solution

To solve this problem, we'll proceed as follows:

  • Identify the number we are working with, which is 9209.
  • Apply the concept of finding a successor by adding 1 to this number.
  • Perform the arithmetic calculation to find the next number.

Now, let's work through these steps:
Step 1: We are given the number 9209.
Step 2: To find its successor, we add 1: 9209+1 9209 + 1 .
Step 3: Calculating this, we have 9209+1=9210 9209 + 1 = 9210 .

Therefore, the successor of 9209 is 9210 9210 .

3

Final Answer

9210 9210

Key Points to Remember

Essential concepts to master this topic
  • Rule: The successor of any integer is found by adding 1
  • Technique: Add 1 to the given number: 9209+1=9210 9209 + 1 = 9210
  • Check: Verify that 9210 comes immediately after 9209 on the number line ✓

Common Mistakes

Avoid these frequent errors
  • Confusing successor with predecessor or adding 10 instead of 1
    Don't subtract 1 or add 10 to find the next number = wrong direction or wrong increment! The successor means the very next number in counting order. Always add exactly 1 to find the number that comes immediately after.

Practice Quiz

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Which number succeeds the number 9209?

FAQ

Everything you need to know about this question

What's the difference between successor and predecessor?

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The successor is the number that comes after (add 1), while the predecessor comes before (subtract 1). For 9209, the successor is 9210 and the predecessor is 9208.

Does this work for any number, even really big ones?

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Yes! Whether it's 5, 999, or 9,999,999, you always add 1 to find the successor. The concept works for all integers, no matter how large or small.

Why is the answer 9210 and not 9300?

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Adding 1 to 9209 gives 9210, not 9300. The number 9300 would be the result of rounding up to the nearest hundred, but that's not what successor means.

What if the number ends in 9, like 9209?

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No problem! When you add 1 to a number ending in 9, the 9 becomes 0 and you carry over to the next place value. So 9209+1=9210 9209 + 1 = 9210 .

Is there a pattern I should memorize?

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The pattern is simple: always add 1! There's no special rule to memorize. Whether the number is odd, even, or ends in any digit, just add 1 to find its successor.

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