Question

PLEASE HELP!!!!!

Drag the expressions to order them top to bottom from least to greatest. ∣∣−437∣∣ ∣∣−467∣∣ ∣∣−537∣∣ ∣∣427∣∣ ∣∣517∣∣

Answer 1

least to greatest.

∣∣427∣∣ ∣∣−437∣∣ ∣∣−467∣∣ ∣∣517∣∣ ∣∣−537∣∣

Answer 2

Answer: Required order is,

|427|

|-437|

|-467|

|517|

|-537|

Explanation:

We know that,

`|x|=\left\{\begin{matrix}x & \text{ if }x > 0\\ -x & \text{ if }x < 0\end{matrix}\right.`

Since, 427 > 0 and 517 > 0

Thus, |427| = 427 and |517| = 517

While, -437 < 0, -467 < 0 and -537 < 0

Thus, |-437| = -(-437) = 437

Similarly,

|-467| = 467 and |-537| = 537,

∵ 427 < 437 < 467 < 517 < 513

Hence, the required order is,

|427| < |-437| < |-467| < |517| < |-537|