Solve: 72+0?74-0 Finding the Missing Decimal Digit

Comparing Numbers with Zero Operations

72+0?740 72+0?74-0

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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 always equals the number itself
00:14 Any number minus 0 always equals the number itself
00:23 This is the solution

Step-by-step written solution

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1

Understand the problem

72+0?740 72+0?74-0

2

Step-by-step solution

To solve this problem, we need to evaluate the expression 72+0?74072 + 0?74 - 0. This involves assessing the values involved and determining the relationship between parts of the expression.

We begin by considering the meaning of the expression logically. The expression 72+072 + 0 simplifies to 7272 because adding zero does not change the number. Similarly, the expression 74074 - 0 simplifies to 7474 because subtracting zero does not change the number.

Hence, the expression to evaluate becomes comparing 7272 and 7474.

To determine the relation between 7272 and 7474, we note that 7272 is less than 7474 because when counting, 7272 comes before 7474.

Therefore, the correct relationship between these numbers is 72<7472 < 74, represented by the symbol <\lt.

Therefore, the solution to the problem is <<.

3

Final Answer

<

Key Points to Remember

Essential concepts to master this topic
  • Identity Operations: Adding or subtracting zero doesn't change the value
  • Technique: Simplify 72+0=72 72 + 0 = 72 and 740=74 74 - 0 = 74 first
  • Check: Compare final values: 72<74 72 < 74 is correct ✓

Common Mistakes

Avoid these frequent errors
  • Thinking zero operations change the numbers
    Don't assume adding or subtracting zero changes values = getting confused about which number is larger! Zero operations are identity operations that leave numbers unchanged. Always simplify expressions with zero first, then compare the actual values.

Practice Quiz

Test your knowledge with interactive questions

\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why doesn't adding zero change the number?

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Zero is the additive identity! When you add zero to any number, you get the same number back. Think of it like having 5 apples and adding 0 more apples - you still have 5 apples.

What about subtracting zero?

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Subtracting zero also leaves the number unchanged. If you have 10 cookies and take away 0 cookies, you still have all 10 cookies!

How do I compare two numbers quickly?

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Look at the numbers from left to right. 72 and 74 both start with 7, so compare the next digits: 2 vs 4. Since 2 < 4, we know 72 < 74.

What if the expression was more complicated?

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Always simplify first using the order of operations, then compare. Break down complex expressions step by step before making comparisons.

Could the answer ever be equal?

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Yes! If both sides simplified to the same value, like 50+0 50 + 0 compared to 500 50 - 0 , then the answer would be =.

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