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Drag a "Yes" or "No" into the correct cell to describe the digits after the decimal point:

Drag a "Yes" or "No" into the correct cell to describe the number.
Decimal form Repeating Terminating Non Terminating
(Goes on forever) Rational Irrational
2.56 Question Blank 1 of 20
Answer
Question Blank 2 of 20
Answer
Question Blank 3 of 20
Answer
Question Blank 4 of 20
Answer
Question Blank 5 of 20
Answer
2.565656... or Question Blank 6 of 20
Answer
Question Blank 7 of 20
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Question Blank 8 of 20
Answer
Question Blank 9 of 20
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Question Blank 10 of 20
Answer
2.5671231... Question Blank 11 of 20
Answer
Question Blank 12 of 20
Answer
Question Blank 13 of 20
Answer
Question Blank 14 of 20
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Question Blank 15 of 20
Answer
2 Question Blank 16 of 20
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Question Blank 17 of 20
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Question Blank 18 of 20
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Question Blank 19 of 20
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Question Blank 20 of 20
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1 answer

Here's how you would fill out the table based on the properties of the numbers:

| Decimal form | Repeating | Terminating | Non Terminating | Rational | Irrational | |----------------------|-----------|-------------|------------------|----------|------------| | 2.56 | No | Yes | No | Yes | No | | 2.565656... | Yes | No | Yes | Yes | No | | 2.5671231... | No | No | Yes | Yes | No | | 2 | No | Yes | No | Yes | No |

Explanation:

  1. 2.56: This is a terminating decimal because it has a finite number of digits after the decimal (two digits). It is also a rational number because it can be expressed as a fraction.

  2. 2.565656...: This is a repeating decimal (the "56" keeps repeating). It is also rational because it can be expressed as a fraction.

  3. 2.5671231...: This is a non-terminating decimal that does not repeat (digits keep changing). It is still rational because it can be represented in a fraction (though the non-repeating aspect does not affect its rationality).

  4. 2: This is a whole number, which is considered a terminating decimal with no digits after the decimal. It is rational, as it can be represented as 2/1.

Let me know if you need further explanation or assistance!