- A-20
- B-22
- C-40
- D-18
Step-by-Step Solution
First the product : four negatives (even) → positive; magnitude , so +120. Then : different signs → negative; 120 ÷ 6 = 20. Result: −20.
Answer: A) -20
Evaluate: (−2) × (−3) × (−4) × (−5) ÷ (−6).
Class 7Integers (Extended)Integers
Key idea: Properties — same as for whole numbers, mostly
Integers obey:
- **Commutative** for addition and multiplication: a + b = b + a; a × b = b × a.
- **Associative** for addition and multiplication: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c).
- **Distributive**: a × (b + c) = a × b + a × c — and this is true even when a, b, c are negative.
Subtraction and division are NOT commutative or associative for integers (they aren't for whole numbers either). Order and grouping matter.
- **Commutative** for addition and multiplication: a + b = b + a; a × b = b × a.
- **Associative** for addition and multiplication: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c).
- **Distributive**: a × (b + c) = a × b + a × c — and this is true even when a, b, c are negative.
Subtraction and division are NOT commutative or associative for integers (they aren't for whole numbers either). Order and grouping matter.
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More Class 7 Integers (Extended) practice
Look at the pattern: 3 × (−4) = −12, 2 × (−4) = −8, 1 × (−4) = −4, 0 × (−4) = 0.…The bars in |a| mean 'distance of a from 0 on the number line', so |−6| = 6. Evaluate…Which statement correctly compares |−7 + 3| with |−7| + |3|?Which integer is greater, −45 or −54, and why?Arrange −3, 7, −11, 0 and −8 in ascending order.