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Kavya's prepaid electricity meter shows a balance of −85 rupees, meaning she owes that much. She then recharges it with 300 rupees. What does the meter show after the recharge?

Class 6IntegersIntegers
  • A−215 rupees
  • B215 rupees
  • C385 rupees
  • D−385 rupees

Step-by-Step Solution

Recharging adds: −85 + 300. The signs differ, so 300 − 85 = 215, and the larger absolute value (300) is positive, leaving a credit of 215 rupees. Answering 385 adds the two amounts as though the debt were also money coming in.
Answer: B) 215 rupees

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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