Find the Predecessor and Successor: Complete the Sequence ⎕,9001,⎕

Q: What exactly is a predecessor?

A predecessor is the number that comes immediately before your given number. To find it, simply subtract 1. For example, the predecessor of 9001 is $ 9001 - 1 = 9000 $.

Q: What exactly is a successor?

A successor is the number that comes immediately after your given number. To find it, simply add 1. For example, the successor of 9001 is $ 9001 + 1 = 9002 $.

Q: Do I always add and subtract 1?

Yes! For consecutive integers (whole numbers in order), you always add 1 for successor and subtract 1 for predecessor. This works for any whole number, positive or negative.

Q: How do I remember which comes first in the sequence?

Think of it like a number line: numbers get bigger as you move right. So predecessor (smaller) goes on the left, your number in the middle, and successor (bigger) goes on the right.

Number Sequences with Predecessor and Successor

Fill in the predecessor as well as the successor of the number 9001:

$\Box,9001,\Box$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the predecessor as well as the successor of the number 9001:

$\Box,9001,\Box$

Step-by-step solution

To solve this problem, we will determine the predecessor and successor of the number 9001 by using simple arithmetic operations.

Step 1: Calculate the predecessor of 9001.
Step 2: Calculate the successor of 9001.

Now, let's work through each step:

Step 1: Calculate the predecessor of 9001. The predecessor of a number is found by subtracting 1 from the number. Therefore,

$9001 - 1 = 9000$ .

Step 2: Calculate the successor of 9001. The successor of a number is found by adding 1 to the number. Therefore,

$9001 + 1 = 9002$ .

Thus, the predecessor and successor of 9001 are $9000$ and $9002$ , respectively. Therefore, in the given format, the answer is:

$9000,9001,9002$ .

Matching this with the provided choices, the correct choice is:

$9000,9002$

Final Answer

$9000,9002$

Key Points to Remember

Essential concepts to master this topic

Definition: Predecessor = subtract 1, Successor = add 1
Technique: For 9001: predecessor is 9001 - 1 = 9000
Check: Verify sequence flows correctly: 9000, 9001, 9002 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number comes before or after
Don't mix up predecessor and successor positions = wrong sequence order! Students often place the successor first and predecessor second. Always remember: predecessor (subtract 1) comes BEFORE the given number, successor (add 1) comes AFTER.

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 exactly is a predecessor?

A predecessor is the number that comes immediately before your given number. To find it, simply subtract 1. For example, the predecessor of 9001 is $9001 - 1 = 9000$ .

What exactly is a successor?

A successor is the number that comes immediately after your given number. To find it, simply add 1. For example, the successor of 9001 is $9001 + 1 = 9002$ .

Do I always add and subtract 1?

Yes! For consecutive integers (whole numbers in order), you always add 1 for successor and subtract 1 for predecessor. This works for any whole number, positive or negative.

How do I remember which comes first in the sequence?

Think of it like a number line: numbers get bigger as you move right. So predecessor (smaller) goes on the left, your number in the middle, and successor (bigger) goes on the right.

What if the given number is negative?

The same rules apply! For example, if your number is -5, the predecessor is $-5 - 1 = -6$ and the successor is $-5 + 1 = -4$ .

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