4-Digit Number Pattern: Finding Numbers with Equal Tens and Thousands Digits Below 2200

Q: How do I identify the tens and thousands digits in a 4-digit number?

In a 4-digit number like $ 2020 $, read from left to right: thousands (2), hundreds (0), tens (2), units (0). The tens digit is the second from the right!

Q: Why can't 2220 be the answer if the tens and thousands digits are both 2?

While $ 2220 $ does have equal tens and thousands digits, it's greater than 2200! You need to satisfy both conditions: digit equality AND being less than 2200.

Q: What does 'less than 2200' mean exactly?

Less than 2200 means the number must be smaller than 2200. So 2199 works, but 2200 itself doesn't (it's equal, not less than). Numbers like 2220 or 2222 are too big!

Q: Are there other correct answers besides 2020?

Yes! Any 4-digit number where tens = thousands and the whole number $ 1010 $, $ 1515 $, $ 2121 $. But from the given choices, only $ 2020 $ is correct!

Q: How do I double-check my work on this type of problem?

Follow these steps: Circle the thousands digit (leftmost)Circle the tens digit (second from right)Check if they're equalCheck if the whole number is less than 2200

Digit Identification with Place Value Constraints

Choose a 4-digit number whose tens digit is equal to its thousands digit and is less than 2200.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose a 4-digit number whose tens digit is equal to its thousands digit and is less than 2200.

Step-by-step solution

To solve this problem, we should carefully examine each of the provided choices, ensuring they meet all necessary criteria:

The number should be a 4-digit number.
The tens digit should be equal to the thousands digit.
The number should be less than 2200.

Let's analyze each option:

1. $2220$ :
Thousands digit = 2, Tens digit = 2 (Condition satisfied that they are equal)
However, the number is greater than 2200.

2. $2002$ :
Thousands digit = 2, Tens digit = 0 (Condition not satisfied as digits are different)
The number itself is less than 2200.

3. $2020$ :
Thousands digit = 2, Tens digit = 2 (Condition satisfied that they are equal)
The number is less than 2200.

4. $2222$ :
Thousands digit = 2, Tens digit = 2 (Condition satisfied that they are equal)
The number is greater than 2200.

From this breakdown, the number that satisfies both necessary conditions is $2020$ .

Thus, the correct answer is $2020$ .

Final Answer

$2020$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify thousands and tens digits in 4-digit numbers
Technique: Check 2020: thousands=2, tens=2, both equal and 2020<2200
Check: Verify both digit equality and inequality constraints are satisfied ✓

Common Mistakes

Avoid these frequent errors

Ignoring the less than 2200 constraint
Don't just check if tens equals thousands digit and ignore the size limit = wrong answer like 2220 or 2222! These satisfy digit equality but exceed 2200. Always verify both the digit matching AND the number size constraint.

Practice Quiz

Test your knowledge with interactive questions

A thousands units is represented by the cube below:

Which number is represented by the cubes below?

FAQ

Everything you need to know about this question

How do I identify the tens and thousands digits in a 4-digit number?

In a 4-digit number like $2020$ , read from left to right: thousands (2), hundreds (0), tens (2), units (0). The tens digit is the second from the right!

Why can't 2220 be the answer if the tens and thousands digits are both 2?

While $2220$ does have equal tens and thousands digits, it's greater than 2200! You need to satisfy both conditions: digit equality AND being less than 2200.

What does 'less than 2200' mean exactly?

Less than 2200 means the number must be smaller than 2200. So 2199 works, but 2200 itself doesn't (it's equal, not less than). Numbers like 2220 or 2222 are too big!

Are there other correct answers besides 2020?

Yes! Any 4-digit number where tens = thousands and the whole number < 2200 works. Examples: $1010$ , $1515$ , $2121$ . But from the given choices, only $2020$ is correct!

How do I double-check my work on this type of problem?

Follow these steps:

Circle the thousands digit (leftmost)
Circle the tens digit (second from right)
Check if they're equal
Check if the whole number is less than 2200

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