Decimal Recognition: Identifying the Visual Representation of 0.9

Which figure represents 0.9?

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1

Understand the problem

Which figure represents 0.9?

2

Step-by-step solution

To solve this problem, we'll identify the graphical representation of the decimal number 0.90.9.

  • Step 1: Understand that 0.90.9 represents nine-tenths, so 99 out of 1010 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 0.90.9.

Now, let's analyze the available choices:
Choice 1 represents the entire area shaded, which corresponds to 1.01.0, not 0.90.9.
Choice 2 has approximately three-tenths shaded, representing 0.30.3, not 0.90.9.
Choice 3 shows five-tenths shaded, which is 0.50.5, not 0.90.9.
Choice 4 displays nine out of ten sections shaded, accurately representing 0.90.9.

Therefore, the correct figure is choice 4, which correctly represents the decimal fraction 0.90.9.

The solution to the problem is choice 4.

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Final Answer

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Determine the numerical value of the shaded area:

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