1) \(-4,\ 7,\ 0,\ -9,\ 3=\color{red}{\text{-9, -4, 0, 3, 7}}\)
Solution
Least to greatest means left to right.
The order is \(-9,-4,0,3,7\).
2) \(12,\ -15,\ 6,\ -2,\ 0=\color{red}{\text{-15, -2, 0, 6, 12}}\)
Solution
List negatives first: \(-15,-2\).
Then list \(0,6,12\).
3) \(-8,\ -1,\ -12,\ 5,\ 2=\color{red}{\text{5, 2, -1, -8, -12}}\)
Solution
Greatest values are farthest right.
The order is \(5,2,-1,-8,-12\).
4) \(-3.5,\ -3,\ 2,\ 1.5,\ -4=\color{red}{\text{-4, -3.5, -3, 1.5, 2}}\)
Solution
Among negatives, more negative is smaller.
Then place positives: \(1.5,2\).
5) \(\frac{1}{2},\ -1,\ 0.25,\ -\frac{3}{4},\ 2=\color{red}{\text{-1, -\frac{3}{4}, 0.25, \frac{1}{2}, 2}}\)
Solution
Convert: \(\frac{1}{2}=0.5\), \(-\frac{3}{4}=-0.75\).
Order the decimals: \(-1,-0.75,0.25,0.5,2\).
6) \(6,\ -10,\ -6,\ 10,\ 0=\color{red}{\text{10, 6, 0, -6, -10}}\)
Solution
Greatest to least starts with positives.
For negatives, \(-6>-10\).
7) \(-18,\ -20,\ -5,\ 4,\ 11=\color{red}{\text{-20, -18, -5, 4, 11}}\)
Solution
Least is farthest left.
\(-20<-18<-5<4<11\).
8) \(0.6,\ \frac{2}{3},\ -0.4,\ -\frac{1}{2},\ 1=\color{red}{\text{-\frac{1}{2}, -0.4, 0.6, \frac{2}{3}, 1}}\)
Solution
Convert \(\frac{2}{3}\approx0.667\) and \(-\frac{1}{2}=-0.5\).
Order: \(-0.5,-0.4,0.6,0.667,1\).
9) \(-25,\ 14,\ -7,\ 0,\ 21=\color{red}{\text{21, 14, 0, -7, -25}}\)
Solution
Start with positives \(21,14\), then zero.
For negatives, \(-7>-25\).
10) \(-2.1,\ -2.01,\ -2.2,\ 2.02,\ 0=\color{red}{\text{-2.2, -2.1, -2.01, 0, 2.02}}\)
Solution
For negative decimals, the more negative value is smaller.
Then place \(0\) before the positive value.
11) \(\frac{5}{4},\ 1.2,\ -1.3,\ -\frac{6}{5},\ 0=\color{red}{\text{-1.3, -\frac{6}{5}, 0, 1.2, \frac{5}{4}}}\)
Solution
Convert \(\frac{5}{4}=1.25\), \(-\frac{6}{5}=-1.2\).
Order: \(-1.3,-1.2,0,1.2,1.25\).
12) \(-\frac{3}{2},\ -1.25,\ 0.5,\ \frac{2}{3},\ -2=\color{red}{\text{\frac{2}{3}, 0.5, -1.25, -\frac{3}{2}, -2}}\)
Solution
Convert \(-\frac{3}{2}=-1.5\), \(\frac{2}{3}\approx0.667\).
Greatest to least is \(0.667,0.5,-1.25,-1.5,-2\).
13) \(-45,\ 18,\ -18,\ 45,\ -5,\ 5=\color{red}{\text{-45, -18, -5, 5, 18, 45}}\)
Solution
List negatives from farthest left to closest to zero.
Then positives from smallest to largest.
14) \(75\%,\ 0.8,\ \frac{7}{10},\ -0.2,\ -\frac{1}{4}=\color{red}{\text{-\frac{1}{4}, -0.2, \frac{7}{10}, 75\%, 0.8}}\)
Solution
Convert \(75\%=0.75\), \(\frac{7}{10}=0.7\), \(-\frac{1}{4}=-0.25\).
Order: \(-0.25,-0.2,0.7,0.75,0.8\).
15) \(-3.75,\ -3\frac{1}{2},\ -4,\ -3.6,\ 0=\color{red}{\text{0, -3\frac{1}{2}, -3.6, -3.75, -4}}\)
Solution
Convert \(-3\frac{1}{2}=-3.5\).
Greatest to least is \(0,-3.5,-3.6,-3.75,-4\).
16) \(-\frac{9}{4},\ -2.3,\ -2.05,\ 2.1,\ \frac{11}{5}=\color{red}{\text{-2.3, -\frac{9}{4}, -2.05, 2.1, \frac{11}{5}}}\)
Solution
Convert \(-\frac{9}{4}=-2.25\), \(\frac{11}{5}=2.2\).
Order: \(-2.3,-2.25,-2.05,2.1,2.2\).
17) \(\frac{5}{6},\ 0.82,\ -0.83,\ -\frac{4}{5},\ 1=\color{red}{\text{1, \frac{5}{6}, 0.82, -\frac{4}{5}, -0.83}}\)
Solution
Convert \(\frac{5}{6}\approx0.833\), \(-\frac{4}{5}=-0.8\).
Greatest to least is \(1,0.833,0.82,-0.8,-0.83\).
18) \(-100,\ -99.5,\ -100.5,\ 0,\ 99=\color{red}{\text{-100.5, -100, -99.5, 0, 99}}\)
Solution
For negatives near \(-100\), the more negative value is smaller.
Then place \(0\) and \(99\).
19) \(-\frac{7}{8},\ -0.9,\ -0.875,\ 0.1,\ \frac{1}{9}=\color{red}{\text{\frac{1}{9}, 0.1, -\frac{7}{8}, -0.875, -0.9}}\)
Solution
Convert \(-\frac{7}{8}=-0.875\), \(\frac{1}{9}\approx0.111\).
Greatest to least is \(0.111,0.1,-0.875,-0.875,-0.9\).
20) \(1.01,\ \frac{101}{100},\ -1.001,\ -\frac{11}{10},\ 0.99=\color{red}{\text{-\frac{11}{10}, -1.001, 0.99, 1.01, \frac{101}{100}}}\)
Solution
Convert \(\frac{101}{100}=1.01\), \(-\frac{11}{10}=-1.1\).
Order: \(-1.1,-1.001,0.99,1.01,1.01\).
