How many integers lie strictly between −4 and 3?

Class 7Integers (Extended)Integers

Step-by-Step Solution

List them: −3, −2, −1, 0, 1, 2 — six integers. 'Strictly between' leaves out −4 and 3 themselves. Answering 7 comes from computing 3 − (−4) = 7, which measures the gap in units rather than counting the integers inside it; answering 5 comes from forgetting that 0 is an integer too.

Answer: B) 6

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:

(- 2) \times (- 3) \times (- 4)

has three negatives (odd) → negative. Compute the magnitude:

2 \times 3 \times 4 = 24

. Result: −24.

(- 2) \times (- 3) \times 4

has two negatives (even) → positive. Magnitude:

2 \times 3 \times 4 = 24

. Result: +24.

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