Solve: 56+0?57-0 Finding the Missing Digit in Addition

Number Comparison with Zero Operations

56+0?570 56+0?57-0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Identify the correct mathematical sign
00:03 Any number plus 0 is always equal to itself
00:11 Any number minus 0 is always equal to itself
00:19 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

56+0?570 56+0?57-0

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Simplify 56+00 56 + 0 - 0 . Since adding or subtracting zero does not affect the number, this simplifies to 56 56 .
  • Step 2: The expression 570 57 - 0 simplifies to 57 57 because subtracting zero does not change the value.
  • Step 3: Now that we have 56 56 and 57 57 , we need to determine the appropriate relational operator between these two numbers.

Comparing 56 56 and 57 57 :
- We know that 56 56 is less than 57 57 .

Therefore, the correct relational operator is < < .

3

Final Answer

<

Key Points to Remember

Essential concepts to master this topic
  • Zero Rule: Adding or subtracting zero never changes a number
  • Technique: Simplify 56+0-0 = 56 and 57-0 = 57 first
  • Check: Compare final numbers: 56 is less than 57, so 56 < 57 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the zero operations and guessing the comparison
    Don't just look at 56 and 57 without simplifying first = missed understanding! You might pick the wrong symbol by rushing. Always simplify each side completely, then compare the final numbers.

Practice Quiz

Test your knowledge with interactive questions

\( 2+0= \)

FAQ

Everything you need to know about this question

Why do I need to simplify when it's just adding and subtracting zero?

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Great question! Even though adding or subtracting zero doesn't change the value, showing each step helps you understand the process and avoid mistakes on harder problems.

What if the numbers were the same after simplifying?

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If both sides simplified to the same number, then you would use the equals sign (=) instead of less than or greater than!

How do I remember which way the less than symbol points?

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Think of the symbol as a hungry mouth - it always opens toward the larger number. So in 56 < 57, the mouth opens toward 57 because it's bigger!

Can I have negative numbers in these problems?

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Absolutely! The same rules apply: simplify first, then compare. Remember that negative numbers get smaller as they move away from zero.

What's the difference between < and ≤?

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Great observation! The symbol < means strictly less than, while ≤ means less than or equal to. For this problem, we use < because 56 is strictly less than 57.

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