Place Value Challenge: Increasing the Hundreds Digit in 189

Place Value with Digit Replacement

If you increase the hundreds digit in the number 189 by 5, then what number will you get?

❤️ 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

If you increase the hundreds digit in the number 189 by 5, then what number will you get?

2

Step-by-step solution

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

  • Step 1: Identify the hundreds digit in the number 189, which is 1.
  • Step 2: Increase this hundreds digit by 5, resulting in 1+5=61 + 5 = 6.
  • Step 3: Construct the new number using the digits: 6 as the hundreds digit, while the tens and units digits remain 8 and 9, respectively.

Now, let's work through each step:

Step 1: Given number is 189. The hundreds digit is the one in the third column from the right.

Step 2: We increase this digit by 5, so the hundreds digit becomes 6.

Step 3: We reconstruct the number with the updated hundreds digit, maintaining the tens and ones digits as they are: 6 (hundreds) + 8 (tens) + 9 (ones).

Therefore, the new number is 689 689 .

3

Final Answer

689 689

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Hundreds digit is third position from the right
  • Technique: Replace only the specific digit: 189 → 6 replaces 1
  • Check: Count positions right to left: ones, tens, hundreds ✓

Common Mistakes

Avoid these frequent errors
  • Adding to the entire number instead of just the digit
    Don't add 5 to 189 to get 194! This changes the whole number value, not just the hundreds digit. Always identify the specific digit position first, then replace 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 know which digit is the hundreds place?

+

Count positions from right to left: the first digit is ones, second is tens, third is hundreds. In 189, the digit 1 is in the hundreds place because it's the third digit from the right.

What if increasing the digit makes it bigger than 9?

+

If adding would make a digit exceed 9, you'd need to carry over to the next place value. For example, if the hundreds digit was 7 and you added 5, you'd get 12, so write 2 in hundreds and carry 1 to thousands.

Why don't the other digits change?

+

Only the hundreds digit was specified to change. The tens digit (8) and ones digit (9) stay exactly the same because the problem only asks to modify the hundreds place.

Can I just add 500 to the original number?

+

That works for this problem! Since 500 represents 5 in the hundreds place, adding 189+500=689 189 + 500 = 689 gives the same result. This is a great shortcut method!

What's the difference between digit value and place value?

+

The digit is just the symbol (like 1), but place value tells you what it's worth based on position. In 189, the digit 1 has a place value of 100 because it's in the hundreds position.

🌟 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