Question

Which of the following shows the correct order for -1 2/5, (-1)², -1.4 repeating and (1/2)²

Answer 1

Answer:

b. -1.4 repeating<-1 2/5<(1/2)²<(-1)²

Step-by-step explanation:

Calculate and convert the fractions (mixed number) to the decimals:

$-1\dfrac{2}{5}=-1\dfrac{2\cdot2}{5\cdot2}=-1\dfrac{4}{10}=-1.4\\\\(-1)^2=(-1)(-1)=1\\\\-1.4444...\\\left(-\dfrac{1}{2}\right)^2=\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=\dfrac{1}{4}=\dfrac{1\cdot25}{4\cdot25}=\dfrac{25}{100}=0.25$

We have

$-1.4;\ 1,\ -1.444...,\ 0.25$

Therefore

$-1.444...$