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The bars in |a| mean 'distance of a from 0 on the number line', so |−6| = 6. Evaluate |−9| + |−4|.

Class 7Integers (Extended)Integers
  • A−13
  • B13
  • C−5
  • D5

Step-by-Step Solution

|−9| = 9 and |−4| = 4, because a distance is never negative. So the sum is 9 + 4 = 13. Answering −13 drags a minus sign out through the bars, which they exist to remove; 5 or −5 comes from reading the plus sign as a subtraction of the original −9 and −4.
Answer: B) 13

Key idea: Multiplying more than two integers

Count the number of negative factors:
- **Even** number of negatives → product is positive.
- **Odd** number of negatives → product is negative.

Examples: has three negatives (odd) → negative. Compute the magnitude: . Result: −24.

has two negatives (even) → positive. Magnitude: . Result: +24.

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