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Which of and lies CLOSER to 0 on the number line?

Class 7Rational NumbersRational Numbers
  • A
  • B
  • CBoth are equally far from 0
  • DIt cannot be decided without a drawn number line

Step-by-Step Solution

. Distance from 0 is the absolute value: against . Since , the number sits closer to 0. Careful: closer to 0 also means GREATER here, because both numbers are negative.
Answer: A)

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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