Decimal Recognition: Identifying the Visual Representation of 0.9

Q: How do I know which decimal a shaded grid represents?

Count the total equal sections first, then count the shaded sections. Write it as a fraction: shaded/total. For $ 0.9 $, you need 9/10.

Q: What's the difference between 0.9 and 0.90?

They're exactly the same value! $ 0.9 = 0.90 $ because adding zeros after the last digit doesn't change the decimal's value.

Q: Why does the grid have exactly 10 sections?

Because we're working with tenths! The first decimal place represents tenths, so we need 10 equal parts. Each section represents $ 0.1 $ or one-tenth.

Q: Can 0.9 be shown differently than a rectangle grid?

Absolutely! You could use circles divided into 10 slices, number lines, or even 10 objects where 9 are colored. The key is always 9 out of 10 equal parts.

Q: Is 0.9 almost the same as 1?

Yes! $ 0.9 $ is very close to 1, missing only $ 0.1 $ or one-tenth. In the visual, you'd see just one section unshaded out of 10.

Decimal Visualization with Tenths Grids

Which figure represents 0.9?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which figure represents 0.9?

Step-by-step solution

To solve this problem, we'll identify the graphical representation of the decimal number $0.9$ .

Step 1: Understand that $0.9$ represents nine-tenths, so $9$ out of $10$ segments should be shaded.
Step 2: Review the given figures to find which one has nine-tenths of its total area shaded.
Step 3: Check that this representation corresponds directly to the given decimal value $0.9$ .

Now, let's analyze the available choices:
Choice 1 represents the entire area shaded, which corresponds to $1.0$ , not $0.9$ .
Choice 2 has approximately three-tenths shaded, representing $0.3$ , not $0.9$ .
Choice 3 shows five-tenths shaded, which is $0.5$ , not $0.9$ .
Choice 4 displays nine out of ten sections shaded, accurately representing $0.9$ .

Therefore, the correct figure is choice 4, which correctly represents the decimal fraction $0.9$ .

The solution to the problem is choice 4.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Decimal Meaning: 0.9 means 9 out of 10 equal parts
Visual Method: Count shaded sections: 9 shaded = 0.9
Verification: Check total sections are 10 and exactly 9 are shaded ✓

Common Mistakes

Avoid these frequent errors

Confusing 0.9 with 9/100 instead of 9/10
Don't think 0.9 means 90 out of 100 parts! This leads to looking for grids with 100 sections when you need 10. Always remember 0.9 = 9/10, so look for 9 out of 10 equal sections shaded.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

How do I know which decimal a shaded grid represents?

Count the total equal sections first, then count the shaded sections. Write it as a fraction: shaded/total. For $0.9$ , you need 9/10.

What's the difference between 0.9 and 0.90?

They're exactly the same value! $0.9 = 0.90$ because adding zeros after the last digit doesn't change the decimal's value.

Why does the grid have exactly 10 sections?

Because we're working with tenths! The first decimal place represents tenths, so we need 10 equal parts. Each section represents $0.1$ or one-tenth.

Can 0.9 be shown differently than a rectangle grid?

Absolutely! You could use circles divided into 10 slices, number lines, or even 10 objects where 9 are colored. The key is always 9 out of 10 equal parts.

Is 0.9 almost the same as 1?

Yes! $0.9$ is very close to 1, missing only $0.1$ or one-tenth. In the visual, you'd see just one section unshaded out of 10.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime