Solve: Find a Number Between 0.22 and 0.25 in Decimal Inequality

Decimal Inequalities with Number Line Ordering

Select the compatible number:

0.22<?<0.25 0.22 < ? < 0.25

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the appropriate number
00:03 We'll use the number line to find the possible numbers
00:15 We can see that all these numbers are suitable
00:20 Let's choose the appropriate number from the options
00:23 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Select the compatible number:

0.22<?<0.25 0.22 < ? < 0.25

2

Step-by-step solution

The range of numbers in which the missing number should be is between 22 and 25

The only number among the answers that falls within this range is 24

Therefore, the correct answer is 0.24

3

Final Answer

0.24 0.24

Key Points to Remember

Essential concepts to master this topic
  • Range Rule: Number must be strictly between both boundary values
  • Technique: Compare hundredths place: 0.24 has 4, between 2 and 5
  • Check: Verify 0.22 < 0.24 < 0.25 by comparing each digit ✓

Common Mistakes

Avoid these frequent errors
  • Including boundary values in strict inequalities
    Don't choose 0.25 because < means 'less than', not 'less than or equal to' = wrong answer! The boundary values 0.22 and 0.25 cannot be the solution. Always pick a number strictly between the boundaries.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why can't 0.25 be the answer if it's one of the choices?

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The inequality uses < (less than), not ≤ (less than or equal to). This means the number must be strictly less than 0.25, so 0.25 itself doesn't work!

How do I compare decimal numbers to find what's between them?

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Compare digit by digit from left to right. Since 0.22 and 0.25 have the same tenths place (2), look at the hundredths place: you need a number between 2 and 5.

Are there other numbers that would work besides 0.24?

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Absolutely! Any decimal between 0.22 and 0.25 works: 0.23, 0.235, 0.2401, etc. The question just asks you to select from the given choices.

What if I can't tell which decimal is bigger?

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Line up the decimal points and compare digit by digit from left to right. The first place where digits differ tells you which is larger. For example: 0.24 vs 0.27 → 4 < 7, so 0.24 < 0.27.

Do I need to worry about the number of decimal places?

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No! 0.24 is the same as 0.240. You can add zeros to the right of a decimal without changing its value, which helps when comparing.

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