Question

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 -9 6.3 integer terminating decimal -4/5 rational number 1.25, -2/3 repeating decimal 5.8666..., 41, 11/12, 08.643

Explanation:

Step1: Recall number - type definitions

An integer is a whole number (positive, negative, or zero). A fraction is a number of the form $\frac{a}{b}$ where $a$ and $b$ are integers and $b
eq0$. A terminating decimal is a decimal that has a finite number of digits after the decimal point. A repeating decimal is a decimal in which one or more digits repeat infinitely. All these are rational numbers (numbers that can be written as $\frac{a}{b}$, $a,b\in\mathbb{Z}, b
eq0$).

Step2: Fill in the integer circle

Since 41 is an integer, another example of an integer could be 0.

Step3: Fill in the repeating - decimal circle

Since 5.8666... is a repeating decimal, another example could be 0.333... (or $\frac{1}{3}$).

Step4: Fill in the fraction circle

Since $\frac{11}{12}$ is a fraction, another example could be $\frac{3}{4}$.

Step5: Fill in the terminating - decimal circle

Since 0.64 is a terminating decimal, another example could be 0.25.

Answer:

• Integer circle: 0
• Repeating - decimal circle: 0.333...
• Fraction circle: $\frac{3}{4}$
• Terminating - decimal circle: 0.25