- A
- B
- C
- D
Step-by-Step Solution
Each unit has 4 parts. A is 7 quarters left of 0, so A . Its mirror image is the same distance to the right: B , and would be a reciprocal, not an additive inverse.)
Answer: B)
Point B is the mirror image of point A in the dashed mirror line through 0. Which rational number is at B (the additive inverse of A)?
Class 8Rational NumbersRational Numbers
Key idea: Identities and inverses
**Additive identity**: 0. For any rational a: a + 0 = a.
**Multiplicative identity**: 1. For any rational a: a × 1 = a.
**Additive inverse** (negation): For a, the additive inverse is −a. Their sum is 0. So a + (−a) = 0.
**Multiplicative inverse** (reciprocal): For non-zero a = p/q, the multiplicative inverse is q/p. Their product is 1. **0 has no multiplicative inverse** (1/0 is undefined).
**Multiplicative identity**: 1. For any rational a: a × 1 = a.
**Additive inverse** (negation): For a, the additive inverse is −a. Their sum is 0. So a + (−a) = 0.
**Multiplicative inverse** (reciprocal): For non-zero a = p/q, the multiplicative inverse is q/p. Their product is 1. **0 has no multiplicative inverse** (1/0 is undefined).
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Rational Numbers practice questions
More Class 8 Rational Numbers practice
The unit bar (blue) is cut into equal parts, and the orange bar is as long as some of…A kitchen-garden bed has two parts A and B with the measurements shown (in metres).…Starting at 0, a frog makes the blue jump of 5/6 to the right and then the orange jump…The part of the number line between −2 and −1 is zoomed in below. Which rational number…M is exactly halfway between the points A and B shown on the number line. Which rational…