Arrange the following numbers in increasing order (smallest first, biggest last):
A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2
D = 4*(-1)/2*(-1)*8*(-1)
E = 3*2^(1/2)*4*1/4
To arrange the numbers in increasing order, we can first simplify each expression.
A = 2*1/2*4*1/6 = 2*2*1/6 = 2/3 B = 12*128 = 1536 C = 1*8*1/5^2 = 1*8*1/25 = 8/25 D = 4*(-1)/2*(-1)*8*(-1) = 32 E = 3*2^(1/2)*4*1/4 = 3*2^(1/2) = 3*1.414 = 4.242
Now, we can arrange the numbers in increasing order:
8/25, 2/3, 4.242, 32, 1536
Therefore, the numbers in increasing order are:
C, A, E, D, B
Or, in other words:
1*8*1/5^2, 2*1/2*4*1/6, 3*2^(1/2)*4*1/4, 4*(-1)/2*(-1)*8*(-1), 12*128