Question
Download Solution PDFThe value of (1018)2 - 1019 × 1017 + 1015 × 1012 - 1016 × 1011 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(1018)2 - 1019 × 1017 + 1015 × 1012 - 1016 × 1011
Calculation:
According to the question,
(1018)2 - (1019 × 1017) + (1015 × 1012) - (1016 × 1011)
⇒ (10,36,324 - 10,36,323) + (10,27,180 - 10,27,176)
⇒ (1) + (4) = 5
∴ The value of given equation is 5.
Alternate Method We can also do this question by using unit digits.
82 - 9 × 7 + 5 × 2 - 6 × 1
⇒ 4 - 3 + 0 - 6 = -5
10 - 5 = 5
∴ The answer has unit digit of 5.
Hence, option 4 is correct.
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