Question

drag the numbers below to put them in order from least to greatest: -6.3 -16 -15.6 -12.1 0.2 18.9

Explanation:

Step1: Recall number ordering rules

For negative numbers, the larger the absolute value, the smaller the number. For positive numbers, larger magnitude means larger number. Zero and positive numbers are greater than negative numbers.

Step2: Order negative numbers

Absolute values: \(|-16| = 16\), \(|-15.6| = 15.6\), \(|-12.1| = 12.1\), \(|-6.3| = 6.3\). So negative order: \(-16 < -15.6 < -12.1 < -6.3\).

Step3: Include non - negative numbers

Non - negative numbers: \(0.2\), \(18.9\). Since negative numbers are less than non - negative, the full order is \(-16 < -15.6 < -12.1 < -6.3 < 0.2 < 18.9\).

Answer:

\(-16\), \(-15.6\), \(-12.1\), \(-6.3\), \(0.2\), \(18.9\)