√3, 2, −6/7, −1, −6/5

Put the numbers in ascending order.

A) √3, 2, -6/7, -1, -6/5

B) -6/5, -1, -6/7, √3, 2

C) 2, √3, -6/7, -1, -6/5

D) -6/7, -1, -6/5, √3, 2

Respuesta :

ANSWER

The correct answer is B

EXPLANATION

Ascending order means from the least to the highest


We can compare these numbers by expressing them over their LCM.


[tex]-1=-\frac{35}{35}[/tex]

[tex]\sqrt{3} =\frac{35\sqrt{3}} {35}[/tex]


[tex]-\frac{6}{5} =-\frac{42}{30}[/tex]


[tex]-\frac{6}{7} =-\frac{30}{35}[/tex]


[tex]2=\frac{70}{35}[/tex]


Since,

[tex]-\frac{42}{30}<\:-\frac{35}{35}<\:-\frac{30}{35}<\:\frac{35\sqrt{3}} {35}<\:\frac{70}{35}[/tex]

We conclude that;

[tex]-\frac{6}{5}<\:-1<\:-\frac{6}{7}<\:\sqrt{3}<\:2[/tex]

Therefore the correct answer is B

Answer: B

Step-by-step explanation: