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Which integer has the greatest absolute value: −9, 6, −4 or 7?

Class 6IntegersIntegers
  • A−9
  • B6
  • C−4
  • D7

Step-by-Step Solution

Absolute values: |−9| = 9, |6| = 6, |−4| = 4, |7| = 7. The greatest is 9, which belongs to −9.
Answer: A) −9

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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