Complete the Sequence: Finding Missing Numbers Around 7190

Q: What does 'consecutive' mean in math?

Consecutive means numbers that follow each other in order with no gaps. Like 5, 6, 7 or 23, 24, 25. Each number is exactly 1 more than the previous number.

Q: How do I find the predecessor of any number?

The predecessor is always the number that comes right before. Simply subtract 1 from your given number. For example, predecessor of 100 is 99.

Q: What if the sequence had bigger gaps, like 10 or 100?

Then you'd need to figure out the pattern first! Look at the difference between known numbers to find the gap size. For consecutive integers, the gap is always 1.

Number Sequences with Consecutive Integers

Fill in the missing numbers:

$\Box,7190,\Box$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing numbers:

$\Box,7190,\Box$

Step-by-step solution

To solve this problem, we will determine the predecessor and successor of the number 7190.

Step 1: Identify the given number, which is 7190.
Step 2: Calculate the predecessor by performing the operation $7190 - 1$ :

When we subtract one, we get $7189$ . Thus, 7189 is the predecessor.

Step 3: Calculate the successor by performing the operation $7190 + 1$ :

When we add one, we get $7192$ . Thus, 7192 is the successor.

We have determined that the numbers are:

$7189,7190,7192$

Therefore, the missing numbers are $7189,7192$ .

Final Answer

$7189,7192$

Key Points to Remember

Essential concepts to master this topic

Rule: Predecessor is one less, successor is one more
Technique: Calculate 7190 - 1 = 7189 and 7190 + 1 = 7191
Check: Verify 7189, 7190, 7191 are three consecutive numbers ✓

Common Mistakes

Avoid these frequent errors

Adding or subtracting 10 instead of 1
Don't use 7190 - 10 = 7180 or 7190 + 10 = 7200! This creates a sequence with gaps of 10, not consecutive numbers. Always add or subtract exactly 1 for consecutive integers.

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 'consecutive' mean in math?

Consecutive means numbers that follow each other in order with no gaps. Like 5, 6, 7 or 23, 24, 25. Each number is exactly 1 more than the previous number.

Why is the answer 7191, not 7192 like in the explanation?

Great catch! The explanation has an error. The correct successor of 7190 is $7190 + 1 = 7191$ , not 7192. Always double-check your arithmetic!

How do I find the predecessor of any number?

The predecessor is always the number that comes right before. Simply subtract 1 from your given number. For example, predecessor of 100 is 99.

What if the sequence had bigger gaps, like 10 or 100?

Then you'd need to figure out the pattern first! Look at the difference between known numbers to find the gap size. For consecutive integers, the gap is always 1.

Can I use this method for negative numbers too?

Absolutely! If you had -5 in the middle, the predecessor would be $-5 - 1 = -6$ and successor would be $-5 + 1 = -4$ .

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