real numbers · rational numbers q = {any number that can be written in the form where a. b e z. b...
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REAL NUMBERS
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2|512 2|256 2|128 2| 64 2| 32 2| 16 2| 8 2| 4 2| 2 1
512 = 29 2|280 2|140 2| 70 5| 35 7| 7 1
280 = 23𝑥 5 𝑥 7
HCF (512, 280) = 23 = 8 LCM (512, 280) = 29 𝑥 5 𝑥 7 = 17920
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(i) (−2)2+ (−1)2+ (0)2+ (1)2= 4 + 1 + 0 + 1 = 6
(ii) 4 consecutive numbers are; n, n+1, n+2 and n+3. (𝑛)2+(𝑛 + 1)2+(𝑛 + 2)2+(𝑛 + 3)2= 𝑛2 + 𝑛2 + 2𝑛 + 1 + 𝑛2 + 4𝑛 + 4 + 𝑛2 + 6𝑛 + 9 = 4𝑛2 + 12𝑛 + 14 = 2(2𝑛2 + 6𝑛 + 7) an even number as 2 is a factor.
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