Which list shows the integers −8, 5, −3, 0, 12 arranged from least to greatest?

Class 6IntegersIntegers

A−8, −3, 0, 5, 12
B−3, −8, 0, 5, 12
C12, 5, 0, −3, −8
D0, −3, −8, 5, 12

Step-by-Step Solution

From left to right on the number line the order is −8, −3, 0, 5, 12. The 'least' is the one furthest left (−8) and the greatest is the one furthest right (12).

Answer: A) −8, −3, 0, 5, 12

Key idea: Adding integers — different signs

When two integers have **different signs**, subtract the smaller absolute value from the larger one and keep the sign of the larger absolute value. So 7 + (−3) = 4 (|7| > |−3|, so the answer is positive 4), and (−7) + 3 = −4 (|−7| > |3|, so the answer is negative 4). On the number line: a positive number moves right, a negative number moves left — they partially cancel.

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