Remove Hundreds and Ones from 545: Place Value Exercise

Place Value Subtraction with Block Representations

If in total we have 545 blocks,

and we only remove the hundreds and ones, write down the resulting exercise:

❤️ 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 in total we have 545 blocks,

and we only remove the hundreds and ones, write down the resulting exercise:

2

Step-by-step solution

To solve this problem, we'll be removing the hundreds and ones digits from the total 545 blocks and writing the resulting subtraction exercise.

  • Step 1: Identify hundreds and ones contributions.
    Hundreds digit is 5, so hundred contribution = 5×100=5005 \times 100 = 500.
    Ones digit is 5, so one contribution = 5×1=55 \times 1 = 5.
  • Step 2: Sum the contributions from hundreds and ones.
    Total contribution to remove = 500+5=505500 + 5 = 505.
  • Step 3: Subtract the total contribution from the original total.
    Subtraction exercise = 545505545 - 505.
  • Step 4: Calculate the result of the subtraction.
    Final result = 4040.

Therefore, the solution to the problem is 545505=40 545 - 505 = 40 .

3

Final Answer

545505=40 545-505=40

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit represents its position value times coefficient
  • Technique: Hundreds = 5×100 = 500, Ones = 5×1 = 5
  • Check: Verify 545 - 505 = 40 by adding back: 40 + 505 = 545 ✓

Common Mistakes

Avoid these frequent errors
  • Removing individual digits instead of their place values
    Don't subtract just the digits 5 and 5 from 545 = wrong answer 45! This ignores place value completely. Always calculate the actual value: hundreds digit 5 = 500, ones digit 5 = 5, so remove 500 + 5 = 505.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why can't I just remove the digits 5 and 5 from 545?

+

Because digits have different values depending on their position! The first 5 represents 500 (5 hundreds), while the last 5 represents just 5 (5 ones). You must consider place value when working with multi-digit numbers.

What does 'remove hundreds and ones' actually mean?

+

It means remove the value contributed by those place positions. In 545: hundreds place contributes 500, tens place contributes 40, ones place contributes 5. So removing hundreds and ones means subtracting 500 + 5 = 505.

How do I know which blocks represent hundreds, tens, and ones?

+

Look at the visual representation: Large squares = hundreds, rectangular strips = tens, small squares = ones. Count each type separately to understand the place value breakdown.

Why is the answer 40 instead of something else?

+

After removing 500 (hundreds) and 5 (ones) from 545, only the tens place value remains. Since 545 has 4 in the tens place, 4 × 10 = 40 is what's left.

How can I check if my subtraction is correct?

+

Use addition to verify: Add your answer back to what you removed. If 40 + 505 = 545, then your subtraction 545505=40 545 - 505 = 40 is correct!

🌟 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