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On a number line every unit is divided into 5 equal parts. Which rational number sits 3 parts to the LEFT of −1?

Class 7Rational NumbersRational Numbers
  • A
  • B
  • C
  • D

Step-by-Step Solution

Each small part is , and moving LEFT means subtracting: . Moving 3 parts to the right instead would give , and is what you get by forgetting to start from −1 at all.
Answer: D)

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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