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A hospital numbers its two basement levels −1 and −2, its ground floor 0, and its wards 1, 2, 3 upward. A trolley is moved from ward 3 down to basement level −2. Write the change in level as an integer.

Class 6IntegersIntegers
  • A−5
  • B5
  • C−1
  • D1

Step-by-Step Solution

Change = new level − old level = −2 − 3 = −2 + (−3) = −5. The minus sign records that the trolley went down. Writing 5 gives the number of levels but throws away the direction, which is exactly what the question asks you to show.
Answer: A) −5

Key idea: Comparing integers

On the number line, the integer on the **right** is the **larger** one. So 5 > 2, but also −2 > −5. This often surprises students: even though 5 is bigger than 2, **−5 is smaller than −2**, because −5 is further to the left. Any positive integer is larger than any negative integer, and zero sits between them.

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