Let’s order rational numbers.
Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.
12 _____ 19
212 _____ 190
15 _____ 1.5
9.02 _____ 9.2
6.050 _____ 6.05
0.4 _____ $\frac{9}{40}$
$\frac{19}{24}$ _____ $\frac{19}{21}$
$\frac{16}{17}$ _____ $\frac{11}{12}$
Your teacher will give you a set of number cards. Order them from least to greatest.
Your teacher will give you a second set of number cards. Add these to the correct places in the ordered set.
Use each of the following terms at least once to describe or compare the values of points $M$, $N$, $P$, $R$.
Tell what the value of each point would be if:
The list of fractions between 0 and 1 with denominators between 1 and 3 looks like this: $$\frac{0}{1}, \, \frac{1}{1},\, \frac{1}{2},\, \frac{1}{3},\, \frac{2}{3}$$We can put them in order like this:$$\frac{0}{1} < \frac{1}{3} < \frac{1}{2} < \frac{2}{3} < \frac{1}{1}$$
Now let’s expand the list to include fractions with denominators of 4. We won’t include $\frac{2}{4}$, because $\frac{1}{2}$ is already on the list. $$\frac{0}{1} <\frac{1}{4} < \frac{1}{3} < \frac{1}{2} < \frac{2}{3} < \frac{3}{4} < \frac{1}{1}$$
To order rational numbers from least to greatest, we list them in the order they appear on the number line from left to right. For example, we can see that the numbers
-2.7, -1.3, 0.8
are listed from least to greatest because of the order they appear on the number line.
