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Which of these lists contains only integers?

Class 6IntegersIntegers
  • A−9, 0.75, 25
  • B−9, 0, 2.5
  • C−0.9, 0, 25
  • D−9, 0, 25

Step-by-Step Solution

Integers are the whole numbers together with their negatives, so −9, 0 and 25 all qualify. Each of the other lists slips in a decimal — 0.75, 2.5 or −0.9 — and a decimal that is not a whole amount is never an integer, sign or no sign.
Answer: D) −9, 0, 25

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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