Question

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each section of the graphic organizer contains a vocabulary term and two examples of the term. use the list below to complete the graphic organizer.
fraction
6.overline{3}
terminating decimal
-9
integer
-\frac{4}{5}
rational number
1.25, -\frac{2}{3}
41, square
repeating decimal
5.8666..., square
\frac{11}{12}, square
0.8, 6.43

Explanation:

Step1: Identify the integer circle

The left - most circle has 41 as an example. Integers are whole numbers (positive, negative, or zero). From the list, - 9 is an integer. So the blank in the integer circle (with 41) should be - 9.

Step2: Identify the repeating decimal circle

The repeating decimal circle has 5.8666... as an example. A repeating decimal has a digit or group of digits that repeat indefinitely. \(6.\overline{3}\) (which is \(6.333\cdots\)) is a repeating decimal. So the blank in the repeating decimal circle (with 5.8666...) should be \(6.\overline{3}\).

Step3: Identify the fraction circle

The fraction circle has \(\frac{11}{12}\) as an example. A fraction is of the form \(\frac{a}{b}\) where \(b
eq0\). From the list, \(-\frac{4}{5}\) is a fraction. So the blank in the fraction circle (with \(\frac{11}{12}\)) should be \(-\frac{4}{5}\).

Step4: Identify the terminating decimal circle

The circle with 0.8 and 6.43 is for terminating decimals (decimals that end). The term for this circle is "terminating decimal" as 0.8 and 6.43 are terminating decimals.

Answer:

• Integer circle (with 41): \(-9\)
• Repeating decimal circle (with 5.8666...): \(6.\overline{3}\)
• Fraction circle (with \(\frac{11}{12}\)): \(-\frac{4}{5}\)
• Circle with 0.8, 6.43: terminating decimal