Find Two-Digit Numbers: Tens Digit 6 and Less Than 67

Place Value Identification with Constraint Conditions

Choose the number that has a tens digit of 6 and is less than 67.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the number that has a tens digit of 6 and is less than 67.

2

Step-by-step solution

To solve this problem, we need to identify the number that meets two conditions: having a tens digit of 6 and being less than 67.

First, let's list the numbers between 60 and 69, inclusive, that potentially have a tens digit of 6:

  • 60,61,62,63,64,65,66,67,68,6960, 61, 62, 63, 64, 65, 66, 67, 68, 69

Next, we apply the constraint that the number must be less than 67. Re-evaluating our list, we focus on numbers less than 67:

  • 60,61,62,63,64,65,6660, 61, 62, 63, 64, 65, 66

All these numbers have a tens digit of 6 and are less than 67.

The problem requires choosing one number, and among the answer choices provided, only 61 matches both conditions established (tens digit of 6 and less than 67).

Therefore, the solution to this problem is 61 61 , corresponding to choice id 2.

3

Final Answer

61 61

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Tens digit is the second number from right
  • Technique: List all numbers 60-66 that satisfy both conditions
  • Check: Verify 61 has tens digit 6 and 61 < 67 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing tens and units digits
    Don't look at the units digit when asked for tens digit = choosing 56 instead of 61! The tens digit is the second number from the right. Always identify the correct place value position first.

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

How do I remember which digit is the tens digit?

+

The tens digit is always the second number from the right! In 61, the tens digit is 6 and the units digit is 1. Think of it as counting places: units (1st), tens (2nd), hundreds (3rd).

Why isn't 68 or 69 correct if they have tens digit 6?

+

Both 68 and 69 have a tens digit of 6, but they don't meet the second condition! The problem says the number must be less than 67, and both 68 > 67 and 69 > 67.

What if there were multiple correct answers in the choices?

+

Always read the question carefully! This problem asks to choose the number (singular), so there should be only one correct answer that meets both conditions.

How do I check both conditions quickly?

+

Make a simple checklist:

  • Does it have tens digit 6? ✓
  • Is it less than 67? ✓
Only when both are true is the answer correct!

What numbers would work if the problem said 'less than or equal to 67'?

+

Then both 61 and 67 would work! The number 67 has tens digit 6 and 67 ≤ 67 is true. Always pay attention to whether the inequality includes the boundary number.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations