Visual Fraction Recognition: Identifying Seven-Tenths (7/10) in Figures

Fraction Visualization with Tenth Segments

Which figure represents seven tenths?

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Step-by-step written solution

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Understand the problem

Which figure represents seven tenths?

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Step-by-step solution

To solve the problem of identifying which figure represents seven tenths, follow these steps:

  • Step 1: Understand that the problem requires identification of a geometric representation for the fraction 710\frac{7}{10} or decimal 0.7.
  • Step 2: Each figure is divided into ten equal segments, representing one tenth each.
  • Step 3: Carefully count the number of segments filled or shaded in each figure.

Now, let's apply these steps:

Step 1: We note that each figure is evenly divided into ten parts.

Step 2: By inspecting each option, you can see which has exactly seven segments shaded. This corresponds directly to seven out of ten segments, or seven tenths.

Step 3: Upon review, the figure corresponding to choice 3 shows exactly seven shaded segments out of ten.

Therefore, the solution to the problem is eminently found as choice 3, representing seven tenths.

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Visual Recognition: Count shaded segments to identify the fraction portion
  • Technique: Seven shaded parts out of ten equals 710 \frac{7}{10}
  • Check: Verify by counting: 7 shaded + 3 unshaded = 10 total ✓

Common Mistakes

Avoid these frequent errors
  • Counting total segments instead of shaded ones
    Don't count all the segments thinking that equals the fraction = wrong answer! This gives you the denominator, not the numerator. Always count only the shaded or filled segments to find what fraction is represented.

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 segments to count?

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Count only the shaded or colored segments! The shaded parts represent the numerator (top number), while the total number of equal parts is the denominator (bottom number).

What if the figure looks like it has more or fewer than 10 parts?

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Look carefully at the vertical lines that divide the rectangle. Count each section between the lines - there should be exactly 10 equal parts for tenths.

Why does seven-tenths look different in each figure?

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The same fraction can be shown in different visual formats! What matters is that 7 out of 10 equal parts are shaded, regardless of which specific segments are filled.

How can I double-check my answer?

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Use this simple check: shaded parts + unshaded parts = total parts. For seven-tenths: 7 + 3 = 10

Is seven-tenths the same as 0.7?

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Yes! 710 \frac{7}{10} equals 0.7 as a decimal. Both represent exactly the same amount - seven parts out of ten equal parts.

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