Arithmetic Sequence: What Number Comes Before 7010?

Q: What's the difference between predecessor and successor?

A predecessor is the number that comes before (subtract 1), while a successor is the number that comes after (add 1). Think of it like counting backwards vs forwards!

Q: Does this work for all numbers?

Yes! This works for all integers - positive, negative, and even zero. For example, the number before -5 is -6, and the number before 0 is -1.

Q: How can I remember which operation to use?

Think of it this way: before means backward, which means subtract. After means forward, which means add. Before = subtract 1, after = add 1!

Q: What if the question asks for the number after instead?

Then you would add 1 instead! If the number before me is 7009, then I am $ 7009 + 1 = 7010 $. Always read carefully to see if you need before (subtract) or after (add).

Number Sequences with Predecessor Finding

The number after me is 7010. What number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The number after me is 7010. What number am I?

Step-by-step solution

To solve this problem, we'll use the concept of finding a predecessor, which involves simple arithmetic subtraction:

Step 1: Identify the given successor number, which is 7010.
Step 2: Subtract 1 from this successor number to find the predecessor.

Now, let's work through each step:
Step 1: We have the number 7010 as the successor.
Step 2: Since the number before 7010 is its predecessor, we calculate:
$7010 - 1 = 7009$ .

Therefore, the number immediately before 7010 is $7009$ .

Final Answer

$7009$

Key Points to Remember

Essential concepts to master this topic

Rule: The predecessor is always one less than the given number
Technique: Subtract 1 from the successor: $7010 - 1 = 7009$
Check: Verify that your answer plus 1 equals the original: $7009 + 1 = 7010$ ✓

Common Mistakes

Avoid these frequent errors

Adding 1 instead of subtracting
Don't add 1 to find what comes before = $7010 + 1 = 7011$ ! This gives you the successor (next number) instead of the predecessor. Always subtract 1 to find the number that comes before.

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's the difference between predecessor and successor?

A predecessor is the number that comes before (subtract 1), while a successor is the number that comes after (add 1). Think of it like counting backwards vs forwards!

Why do we subtract 1 instead of adding?

When you want the number before another number, you move backward on the number line. Moving backward means subtracting, just like counting down: 7010, 7009, 7008...

Does this work for all numbers?

Yes! This works for all integers - positive, negative, and even zero. For example, the number before -5 is -6, and the number before 0 is -1.

How can I remember which operation to use?

Think of it this way: before means backward, which means subtract. After means forward, which means add. Before = subtract 1, after = add 1!

What if the question asks for the number after instead?

Then you would add 1 instead! If the number before me is 7009, then I am $7009 + 1 = 7010$ . Always read carefully to see if you need before (subtract) or after (add).

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