Practice30Create account

Assertion (A): |−15| is greater than |9|. Reason (R): Absolute value measures distance from zero, so the sign is ignored. Which option is correct?

Class 6IntegersIntegers
  • AA is true, R is true, and R is the correct explanation of A
  • BA is true, R is true, but R is not the correct explanation of A
  • CA is true, but R is false
  • DA is false, but R is true

Step-by-Step Solution

|−15| = 15 and |9| = 9, and 15 > 9, so A is true. R is true as well, and it is precisely why A holds: once the sign is dropped, −15 sits 15 units from zero while 9 sits only 9 units away. The trap is calling A false because −15 is less than 9 as a value.
Answer: A) A is true, R is true, and R is the correct explanation of A

Key idea: Adding integers — different signs

When two integers have **different signs**, subtract the smaller absolute value from the larger one and keep the sign of the larger absolute value. So 7 + (−3) = 4 (|7| > |−3|, so the answer is positive 4), and (−7) + 3 = −4 (|−7| > |3|, so the answer is negative 4). On the number line: a positive number moves right, a negative number moves left — they partially cancel.

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 Integers practice questions

More Class 6 Integers practice

A weather chart shows five readings: −13°C, 13°C, −31°C, 0°C and 3°C. Which reading is…Three of these comparisons are correct. Which one is WRONG?Rahul claims that any number written with a minus sign in front of it is an integer.…In which of these situations would the amount be recorded as a NEGATIVE integer?Sana says |−9| is less than |7| because −9 is less than 7. Which reply is correct?