Visual Decimal Recognition: Identifying the Figure for 0.1

Decimal Recognition with Tenths Place Values

Which figure represents 0.1?

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Step-by-step written solution

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Understand the problem

Which figure represents 0.1?

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Step-by-step solution

The task is to determine which of the given figures correctly represents the decimal fraction 0.1.

To interpret 0.1, we recognize it as 110\frac{1}{10}. This indicates that in a graphical representation of 10 equal parts, 1 part should be shaded. Each figure is assumed to be divided into such equal parts.

Let's analyze the options:

  • Choice 1: Shows 10 equal divisions with 1 part shaded. This potentially represents 0.1 since it shades exactly 1 of 10 parts.
  • Choice 2: Shows 10 equal divisions with more than 1 part shaded. Thus, it represents more than 0.1.
  • Choice 3: Shows 10 equal divisions with numerous parts shaded. It represents a number greater than 0.1.
  • Choice 4: Shows a full shading, representing 1 (i.e., shading all 10 parts), clearly not 0.1.

Hence, the correct choice that correspond to 0.1 is Choice 1. This figure accurately shades exactly 1 out of 10 equal segments.

Therefore, the solution to the problem indicates that choice 1 correctly represents the decimal fraction 0.1.

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Fraction Rule: 0.1 equals exactly one-tenth or 110 \frac{1}{10}
  • Visual Method: Count total parts, then count shaded parts: 1 out of 10
  • Check: Verify shaded area is exactly 10% of the whole figure ✓

Common Mistakes

Avoid these frequent errors
  • Confusing number of parts with decimal value
    Don't count how many divisions you see and call that the decimal = wrong answer! Seeing 10 divisions doesn't mean the decimal is 0.10. Always identify what fraction of the whole is shaded: 1 shaded out of 10 total equals 0.1.

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 part represents 0.1?

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Look for the figure where exactly 1 part is shaded out of 10 equal parts. Since 0.1=110 0.1 = \frac{1}{10} , you need one-tenth of the whole figure to be shaded.

What if I see more than one part shaded?

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If 2 parts are shaded out of 10, that represents 210=0.2 \frac{2}{10} = 0.2 . If 3 parts are shaded, that's 0.3, and so on. Only 1 shaded part equals 0.1!

Does it matter which part is shaded?

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No! It doesn't matter if the first, middle, or last section is shaded. What matters is that exactly one section out of ten equal parts is filled in.

How can I double-check my answer?

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Count the total parts (should be 10), then count shaded parts (should be 1). Calculate: 110=0.1 \frac{1}{10} = 0.1 . The math should match!

What if the whole figure is shaded?

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A completely shaded figure represents 1.0 (or just 1), not 0.1. Remember: 0.1 is only a small piece of the whole, not the entire figure!

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