In this quiz each correct answer gets +4 marks and each wrong answer gets −2 marks. What is Team Tagore's total score?
Class 6IntegersIntegers
A−2
B2
C−14
D26
Step-by-Step Solution
Correct: 3, so 3×4=12. Wrong: 7, so 7×(−2)=−14. Total =12+(−14)=−2.
Answer: A) −2
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.
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