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How many integers lie between −3 and 4 (not including −3 and 4)?

Class 6IntegersIntegers
  • A5
  • B7
  • C6
  • D12

Step-by-Step Solution

The integers strictly between −3 and 4 are −2, −1, 0, 1, 2, 3. Counting them gives 6 integers.
Answer: C) 6

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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