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On a number line, which of these integers does NOT lie between −5 and 2?

Class 6IntegersIntegers
  • A−6
  • B−4
  • C0
  • D1

Step-by-Step Solution

Between −5 and 2 means to the right of −5 and to the left of 2, so −4, 0 and 1 all qualify. −6 sits further left than −5, so it falls outside. The trap is reading −6 as small in size and assuming it must fit inside the gap.
Answer: A) −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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