Question

1. an eye doctor keeps his contact lenses ordered from least to greatest in prescription strength. he has prescriptions for -2.5, +0.25, -1.25, -1.5, +1.25, +0.5, -2.25. in what order should the lenses be?

Explanation:

Step1: Identify negative values first

Negative values: $-2.5, -1.25, -1.5, -2.25$

Step2: Order negatives from least to greatest

For negative numbers, larger magnitude = smaller value:
$-2.5 < -2.25 < -1.5 < -1.25$

Step3: Identify positive values

Positive values: $+0.25, +1.25, +0.5$

Step4: Order positives from least to greatest

$+0.25 < +0.5 < +1.25$

Step5: Combine ordered sets

Merge negative and positive ordered lists

Answer:

$-2.5, -2.25, -1.5, -1.25, +0.25, +0.5, +1.25$