Find the Missing Number: 953,070 < ? < 1,000,000

Inequality Analysis with Multiple Valid Solutions

Fill in the missing number:

953,070<<1,000,000 953,070<\Box<1,000,000

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing number:

953,070<<1,000,000 953,070<\Box<1,000,000

2

Step-by-step solution

To solve this problem, we will verify which numbers from the provided choices fit the inequality 953,070<<1,000,000 953,070 < \Box < 1,000,000 :

  • Choice 1: 953,090 953,090 .
  • 953,090 953,090 is greater than 953,070 953,070 and less than 1,000,000 1,000,000 , so it satisfies the inequality.

  • Choice 2: 999,999 999,999 .
  • 999,999 999,999 is greater than 953,070 953,070 and less than 1,000,000 1,000,000 , so it also satisfies the inequality.

  • Choice 3: 981,135 981,135 .
  • 981,135 981,135 is greater than 953,070 953,070 and less than 1,000,000 1,000,000 , hence it satisfies the inequality.

  • Choice 4: All the given answers are correct.
  • Since all individual choices satisfy the inequality, this choice is indeed correct.

Upon reviewing all options, each listed number fits within the specified range. The correct response is therefore that all given answers are correct.

The correct choice is: All the given answers are correct.

3

Final Answer

All the given answers are correct

Key Points to Remember

Essential concepts to master this topic
  • Range Rule: Numbers between bounds must satisfy both inequalities simultaneously
  • Testing Method: Check if 953,090 > 953,070 and < 1,000,000
  • Verification: All three numbers 953,090, 999,999, and 981,135 fit the range ✓

Common Mistakes

Avoid these frequent errors
  • Choosing only one correct answer when multiple solutions exist
    Don't select just the first number that works = missing other valid solutions! This happens when you stop checking after finding one answer. Always test every given option to see if multiple answers can be correct.

Practice Quiz

Test your knowledge with interactive questions

Select the appropriate sign:

\( 24,909\Box24,990 \)

FAQ

Everything you need to know about this question

How can all three numbers be correct answers?

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In inequalities, there are usually many possible values that work! As long as each number is greater than 953,070 and less than 1,000,000, it satisfies the condition.

Do I need to check both sides of the inequality?

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Yes, absolutely! Each number must be greater than the left number AND less than the right number. Both conditions must be true.

What's the difference between < and ≤ symbols?

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The symbol < means 'strictly less than' (not equal), while means 'less than or equal to'. In this problem, none of the answers can equal 953,070 or 1,000,000.

How do I quickly compare large numbers?

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Start from the leftmost digits! Compare place values: hundreds of thousands, then ten thousands, then thousands, and so on until you find a difference.

Can there be infinitely many correct answers?

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Yes! Between any two numbers, there are infinitely many possibilities. The question just asks us to identify which of the given choices work.

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