Card sort rational numbers: order from least to greatest.

10, 15, 8, 23, 11, 5, 3, 22, 2, -1, -3, -7.7, -23, -22 3/8, -7, -8/3, -1/4, 9/8, -31/3, -6, -2.5, 0, -10, -5 5/6, -2, 1, -9, -4, -1.125, 1/4, 2.5, 8/3, 22 3/8, 31/3, 5 5/6, and 7.7

3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Showing Work

Using the given inputs:

10158231153222-1-3-7.7-23-22 3/8-7-8/3-1/49/8-31/3-6-2.50

Rewriting these inputs as decimals:

10158231153222-1-3-7.7-23-22 3/8-7-8/3-1/49/8-31/3-6-2.50

10158231153222-1-3-7.7-23-22.375-7-2.666667-0.251.125-10.333333-6-2.50

Sorting this table by decimal values in order from least to greatest:

-23  -22 3/8  -31/3  -7.7  -7  -6  -3  -8/3  -2.5  -1  -1/4  0  9/8  2  3  5  8  10  11  15  22  23

-23<-22.375<-10.333333<-7.7<-7<-6<-3<-2.666667<-2.5<-1<-0.25<0<1.125<2<3<5<8<10<11<15<22<23

Therefore, the sorted inputs in order from least to greatest is:

-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23