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The rational number lies between which two consecutive integers?

Class 7Rational NumbersRational Numbers
  • A−4 and −3
  • B−3 and −2
  • C3 and 4
  • D−5 and −4

Step-by-Step Solution

17 ÷ 5 = 3 remainder 2, so , which is 3 and a bit BELOW zero. That places it between −4 and −3. Choosing "−3 and −2" comes from moving the extra towards 0 instead of away from it.
Answer: A) −4 and −3

Key idea: Rationals on the number line

Every rational number has a place on the number line. Negative rationals on the left of 0, positive on the right. Between any two rationals, you can always find another rational (in fact, infinitely many) — this is called **density**.

Example: between 1/3 and 1/2, the average (1/3 + 1/2)/2 = 5/12 sits in the middle. Between 1/3 and 5/12 there's another rational, and so on, forever.

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