Find the Decimal Between 0.7 and 0.8: Solving Double Inequality

Double Inequalities with Decimal Ordering

What is the appropriate decimal number?

0.7<?<0.8 0.7 < ? < 0.8

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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
00:09 We can see that all these numbers fit
00:28 Let's choose the appropriate number from the options
00:33 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

What is the appropriate decimal number?

0.7<?<0.8 0.7 < ? < 0.8

2

Step-by-step solution

We will add 0 to the number 0.7 and to the number 0.8 to reveal the range between the two numbers:

0.7=0.70 0.7=0.70

0.8=0.80 0.8=0.80

In other words, the number should be between 70 and 80

Therefore, the appropriate answer is 0.75

3

Final Answer

0.75 0.75

Key Points to Remember

Essential concepts to master this topic
  • Range Rule: Find values strictly between the two boundary numbers
  • Technique: Convert 0.7 to 0.70 and 0.8 to 0.80 for clarity
  • Check: Verify 0.70 < 0.75 < 0.80 by comparing hundredths place ✓

Common Mistakes

Avoid these frequent errors
  • Including boundary values in the solution
    Don't choose 0.7 or 0.8 as answers = wrong because < means strictly less than! The inequality symbols exclude the boundary values themselves. Always pick numbers that fall between (not equal to) the given bounds.

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 I choose 0.8 as the answer?

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The symbol < < means strictly less than, not less than or equal to. Since we need ?<0.8 ? < 0.8 , the number 0.8 itself doesn't work!

How do I find a decimal between 0.7 and 0.8?

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Think of them as 0.70 and 0.80. Any number from 0.71, 0.72, 0.73... up to 0.79 works! The middle value 0.75 is often the easiest choice.

Are there other correct answers besides 0.75?

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Absolutely! Any decimal between 0.7 and 0.8 works: 0.71,0.74,0.76,0.79 0.71, 0.74, 0.76, 0.79 are all correct. The question asks for an appropriate answer, not the only answer.

What if I get confused about which direction the inequality goes?

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Read it like a sentence: 0.7<?<0.8 0.7 < ? < 0.8 means "0.7 is less than something, and that something is less than 0.8." Your answer goes in the middle!

Why do we add zeros to make 0.70 and 0.80?

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Adding zeros helps you see the hundredths place clearly! It's easier to find numbers between 70 and 80 hundredths than between 0.7 and 0.8.

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