IM 6.7.4 Lesson: Ordering Rational Numbers
Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.
Order them from least to greatest.
Use each of the following terms at least once to describe or compare the values of points M, N, P, R.
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[/img][br]greater than
less than
opposite of (or opposites)
negative number
Tell what the value of each point would be if:
[img]data:image/png;base64,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[/img][br][math]P[/math] is [math]2\frac{1}{2}[/math][br][br]
[math]N[/math] is -0.4
[math]R[/math] is 200
[math]M[/math] is -15
The list of fractions between 0 and 1 with denominators between 1 and 3 looks like this:
[math]\frac{0}{1},\frac{1}{1},\frac{1}{2},\frac{1}{3},\frac{2}{3}[/math][br][br]We can put them in order like this: [math]\frac{0}{1}<\frac{1}{4}<\frac{1}{3}<\frac{1}{2}<\frac{2}{3}<\frac{3}{4}<\frac{1}{1}[/math][br]Now let’s expand the list to include fractions with denominators of 4. We won’t include [math]\frac{2}{4}[/math], because [math]\frac{1}{2}[/math] is already on the list.[br][br][math]\frac{0}{1}<\frac{1}{4}<\frac{1}{3}<\frac{1}{2}<\frac{2}{3}<\frac{3}{4}<\frac{1}{1}[/math][br][br]Expand the list again to include fractions that have denominators of 5.
Expand the list you made to include fractions that have denominators of 6.
When you add a new fraction to the list, you put it in between two “neighbors.” Go back and look at your work. Do you see a relationship between a new fraction and its two neighbors?
IM 6.7.4 Practice: Ordering Rational Numbers
Select [b]all [/b]of the numbers that are [i]greater than[/i] [math]-5[/math].
Order these numbers from least to greatest: [math]\frac{1}{2},0.1,-1\frac{1}{2},-\frac{1}{2},-1[/math]
Here are the boiling points of certain elements in degrees Celsius:[br][br][list][*]Argon: -185.8[/*][*]Chlorine: -34[/*][*]Fluorine: -188.1[/*][*]Hydrogen: -252.87[/*][*]Krypton: -153.2[/*][/list][br]List the elements from least to greatest boiling points.
Explain why zero is considered its own opposite.
Explain how to make these calculations mentally.
[math]99+54[/math]
[math]244-99[/math]
[math]99\cdot6[/math]
[math]99\cdot15[/math]
Find the quotients.
[math]\frac{1}{2}\div2[/math]
[math]2\div2[/math]
[math]\frac{1}{2}\div\frac{1}{2}[/math]
[math]\frac{38}{79}\div\frac{38}{79}[/math]
Over several months, the weight of a baby measured in pounds doubles. Does its weight measured in kilograms also double? Explain.