IM 8.8.14 Lesson: Decimal Representations of Rational Numbers
What do you notice? What do you wonder?
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[/img]
Here is a number line from 0 to 1. Mark the midpoint between 0 and 1.
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?
Rational numbers are fractions and their opposites. All of these numbers are rational numbers.
On the topmost number line, label the tick marks.
[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{7}{5}[/math]
[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?
Find [math]x^2[/math].
IM 8.8.14 Practice: Decimal Representations of Rational Numbers
[size=150]Andre and Jada are discussing how to write[math]\frac{17}{20}[/math] as a decimal.[/size][br][br]Andre says he can use long division to divide [math]17[/math] by [math]20[/math] to get the decimal.[br][br]Jada says she can write an equivalent fraction with a denominator of [math]100[/math] by multiplying by [math]\frac{5}{5}[/math][br]then writing the number of hundredths as a decimal.[br][br]Do both of these strategies work?
Which strategy do you prefer? Explain your reasoning.
Write[math]\frac{17}{20}[/math] as a decimal. Explain or show your reasoning.
Write each fraction as a decimal.
[math]\sqrt{\frac{9}{100}}[/math]
[math]\frac{99}{100}[/math]
[math]\sqrt{\frac{9}{16}}[/math]
[math]\frac{23}{10}[/math]
Write each decimal as a fraction.
Find the positive solution to each equation. If the solution is irrational, write the solution using square root or cube root notation.
[math]x^2=90[/math]
[math]p^3=90[/math]
[math]z^2=1[/math]
Here is a right square pyramid.
[img]data:image/png;base64,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[/img][br][br]What is the measurement of the slant height [math]l[/math] of the triangular face of the pyramid? If you get stuck, use a cross section of the pyramid.
[math]y^3=1[/math]
[math]w^2=36[/math]
[math]h^3=64[/math]
What is the surface area of the pyramid?