Finding Two-Digit Numbers: Matching Tens and Units Digits Problem

Q: What exactly are tens and units digits?

In a two-digit number like $ 85 $, the tens digit is the left number (8) and the units digit is the right number (5). They represent different place values!

Q: Why doesn't the number 1 work?

$ 1 $ is a single-digit number - it only has a units place. We need a two-digit number to have both tens and units positions to compare.

Q: Are there other numbers that would work besides 77?

Yes! Any number where both digits are the same works: $ 11 $, $ 22 $, $ 33 $, $ 44 $, $ 55 $, $ 66 $, $ 88 $, or $ 99 $.

Q: How do I quickly identify equal digits?

Look for numbers that have the same digit repeated. If you see identical numbers side by side, like in $ 77 $, that's your answer!

Place Value with Equal Digit Positions

Choose a number which has a tens digit equal to its units digit.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose a number which has a tens digit equal to its units digit.

Step-by-step solution

To solve this problem, we need to identify a number whose tens digit is the same as its units digit from the given options:

Options given are:
- $1$
- $20$
- $77$
- $85$
Examine each number:
- $1$ : This is a one-digit number, not applicable.
- $20$ : Tens digit is $2$ , units digit is $0$ . They are not equal.
- $77$ : Tens digit is $7$ , units digit is $7$ . They are equal.
- $85$ : Tens digit is $8$ , units digit is $5$ . They are not equal.

Therefore, the number where the tens digit equals the units digit is $77$ .

Final Answer

$77$

Key Points to Remember

Essential concepts to master this topic

Rule: Tens and units digits must be identical in the number
Technique: Compare digit positions: $77$ has tens=7, units=7
Check: Read the number left to right: first 7 equals second 7 ✓

Common Mistakes

Avoid these frequent errors

Confusing single-digit numbers as having tens digits
Don't count $1$ as having a tens digit = wrong answer! Single-digit numbers only have a units place. Always look for two-digit numbers where both digit positions contain the same value.

Practice Quiz

Test your knowledge with interactive questions

What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What exactly are tens and units digits?

In a two-digit number like $85$ , the tens digit is the left number (8) and the units digit is the right number (5). They represent different place values!

Why doesn't the number 1 work?

$1$ is a single-digit number - it only has a units place. We need a two-digit number to have both tens and units positions to compare.

Are there other numbers that would work besides 77?

Yes! Any number where both digits are the same works: $11$ , $22$ , $33$ , $44$ , $55$ , $66$ , $88$ , or $99$ .

How do I quickly identify equal digits?

Look for numbers that have the same digit repeated. If you see identical numbers side by side, like in $77$ , that's your answer!

What if the question asked for three-digit numbers?

Then you'd look for numbers where specific positions match. For example, if asked for hundreds and units digits to be equal, $525$ would work (5 in hundreds place equals 5 in units place).

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