[img]data:image/png;base64,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[/img]
What is the decimal representation of that number?
[size=150]Mark the midpoint between 0 and the newest point. [br][/size][br]What is the decimal representation of that number?
[size=150]Repeat step two.[/size][br][br] How did you find the value of this number?
Describe how the value of the midpoints you have added to the number line keep changing as you find more. How do the decimal representations change?
[size=150]All rational numbers have decimal representations, too. Find the decimal representation of each of these rational numbers.[br][br][/size][math]\frac{3}{8}[/math]
[list][*][size=150]Next, find the first decimal place of [math]\frac{2}{11}[/math] using long division and estimate where [math]\frac{2}{11}[/math] should be placed on the top number line.[br][/size][/*][/list][size=150][list][*][size=150]Label the tick marks of the second number line. Find the next decimal place of [math]\frac{2}{11}[/math] by continuing the long division and estimate where [math]\frac{2}{11}[/math] should be placed on the second number line. Add arrows from the second to the third number line to zoom in on the location of [math]\frac{2}{11}[/math].[/size][/*][/list][list][*][size=150]Repeat the earlier step for the remaining number lines.[/size][/*][/list][/size][br]What do you think the decimal expansion of [math]\frac{2}{11}[/math] is?
[math]\frac{999}{1000}[/math]
[math]\frac{111}{2}[/math]
[math]\sqrt[3]{\frac{1}{8}}[/math]
Let [math]x=\frac{25}{11}=2.272727\ldots[/math] and [math]y=\frac{58}{33}=1.75757575\ldots[/math].[br][br]For each of the following questions, first decide whether the fraction or decimal representations of the numbers are more helpful to answer the question, and then find the answer.[br][br]Which of [math]x[/math] or [math]y[/math] is closer to 2?