Manipulating the Tens Digit: Change 300 by Adding 6

Q: How do I identify which digit is in the tens place?

Count from the right side of the number! The first digit on the right is units, second is tens, third is hundreds. In 300: units=0, tens=0, hundreds=3.

Q: Why isn't the answer 306?

306 means we added to the units digit, not the tens digit! The tens digit in 306 is still 0. We need the tens digit to be 6, giving us 360.

Q: How can I double-check which digit I'm changing?

Write the number with place value labels: 300 = 3 hundreds + 0 tens + 0 units. Change only the tens value: 3 hundreds + 6 tens + 0 units = 360.

Place Value Manipulation with Tens Digit

If we increase the tens digit of the number 300 by 6, then what number do we have?

❤️ 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

If we increase the tens digit of the number 300 by 6, then what number do we have?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the tens digit of the original number, which is 300.
Step 2: Recall that the original number (300) has the tens digit as 0.
Step 3: Increase the tens digit (0) by 6, resulting in a new tens digit of 6.
Step 4: Construct the new number using this updated tens digit.

Now, let's work through each step:
Step 1: The number 300 has the digits in the following places: hundreds (3), tens (0), and units (0).
Step 2: The tens digit is 0.
Step 3: By increasing the tens digit 0 by 6, we get 0 + 6 = 6.
Step 4: Replace the old tens digit with this new value, resulting in 360.

Therefore, the solution to the problem is $360$ .

Final Answer

$360$

Key Points to Remember

Essential concepts to master this topic

Place Value: Tens digit is second position from right
Technique: Change 0 in tens place to 6: 300 → 360
Check: Count positions: hundreds=3, tens=6, units=0 gives 360 ✓

Common Mistakes

Avoid these frequent errors

Adding 6 to the entire number instead of just the tens digit
Don't add 6 to 300 to get 306! This adds to the units digit, not the tens digit. The tens digit in 300 is 0, so increasing it by 6 gives 6. Always identify the correct place value first, then modify only that digit.

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 identify which digit is in the tens place?

Count from the right side of the number! The first digit on the right is units, second is tens, third is hundreds. In 300: units=0, tens=0, hundreds=3.

What if increasing the tens digit creates a number larger than 9?

If the tens digit plus the increase equals 10 or more, you'd need to carry over to the hundreds place. But in this problem, 0 + 6 = 6, so no carrying is needed.

Why isn't the answer 306?

306 means we added to the units digit, not the tens digit! The tens digit in 306 is still 0. We need the tens digit to be 6, giving us 360.

How can I double-check which digit I'm changing?

Write the number with place value labels: 300 = 3 hundreds + 0 tens + 0 units. Change only the tens value: 3 hundreds + 6 tens + 0 units = 360.

What's the difference between 'increase by 6' and 'increase to 6'?

'Increase by 6' means add 6 to the current value (0 + 6 = 6). 'Increase to 6' would mean change the digit to exactly 6. Both give the same result here since the tens digit starts at 0.

🌟 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