Find Numbers Where Unit Digit = 3 × Tens Digit: Place Value Challenge

Q: How do I remember which digit is which place value?

Think of it from right to left: the rightmost digit is always the units place, and the next digit to the left is the tens place. In 1426, the 6 is units and 2 is tens.

Q: Do I need to check all four digits in each number?

No! Only focus on the last two digits. In 1426, you only need to check that 6 (units) equals $ 3 \times 2 $ (tens). The other digits don't matter for this problem.

Place Value Relationships with Digit Multiplication

Choose a number whose unit digit is three times greater than its tens digit.

❤️ 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

Understand the problem

Choose a number whose unit digit is three times greater than its tens digit.

Step-by-step solution

To solve this problem, choose a number from the options where the unit digit is three times the tens digit:

Option 1: $8642$
Tens digit: $4$ , Units digit: $2$ .
Units is not three times tens. Reject.
Option 2: $5846$
Tens digit: $4$ , Units digit: $6$ .
Units is not three times tens. Reject.
Option 3: $3257$
Tens digit: $5$ , Units digit: $7$ .
Units is not three times tens. Reject.
Option 4: $1426$
Tens digit: $2$ , Units digit: $6$ .
Six is three times two. Accept.

Thus, the correct number in question is $1426$ .

Final Answer

$1426$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Identify tens and units digits by their positions
Technique: Check if units digit = 3 × tens digit (like 6 = 3 × 2)
Check: Verify relationship holds: 1426 has 6 = 3 × 2 ✓

Common Mistakes

Avoid these frequent errors

Confusing which digit is tens vs units
Don't mix up digit positions and read 1426 as tens=6, units=2! This reverses the relationship and gives wrong answers. Always identify tens digit as second from right, units digit as rightmost.

Practice Quiz

Test your knowledge with interactive questions

A thousand units is represented by a cube as shown below:

What number do the cubes below represent?

FAQ

Everything you need to know about this question

How do I remember which digit is which place value?

Think of it from right to left: the rightmost digit is always the units place, and the next digit to the left is the tens place. In 1426, the 6 is units and 2 is tens.

What if the multiplication doesn't work exactly?

Then that number doesn't satisfy the condition! You need to find a number where the units digit is exactly three times the tens digit, not close or approximately.

Can the tens digit be zero?

Yes! If the tens digit is 0, then the units digit would need to be $3 \times 0 = 0$ . So a number like 1200 would work for this relationship.

What if 3 times the tens digit is greater than 9?

Then no valid single digit exists for the units place! For example, if tens digit is 4, then $3 \times 4 = 12$ , but 12 isn't a single digit.

Do I need to check all four digits in each number?

No! Only focus on the last two digits. In 1426, you only need to check that 6 (units) equals $3 \times 2$ (tens). The other digits don't matter for this problem.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to 10,000 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