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23 . 75 + 25 . 23 + 180
= 23 . (75 + 25) + 180
= 23 . 100 + 180
= 2300 + 180 = 2480
b: \(B=16^5+2^{15}\)
\(=\left(2^4\right)^5+2^{15}\)
\(=2^{20}+2^{15}\)
\(=2^{15}\left(2^5+1\right)=2^{15}\cdot33⋮33\)
c: \(45⋮9;99⋮9;180⋮9\)
Do đó: \(45+99+180⋮9\)
=>\(C⋮9\)
d: \(D=2+2^2+2^3+...+2^{60}\)
\(=\left(2+2^2+2^3\right)+\left(2^4+2^5+2^6\right)+...+\left(2^{58}+2^{59}+2^{60}\right)\)
\(=2\left(1+2+2^2\right)+2^4\cdot\left(1+2+2^2\right)+...+2^{58}\left(1+2+2^2\right)\)
\(=7\left(2+2^4+...+2^{58}\right)⋮7\)
\(D=2+2^2+2^3+...+2^{60}\)
\(=\left(2+2^2+2^3+2^4\right)+\left(2^5+2^6+2^7+2^8\right)+...+\left(2^{57}+2^{58}+2^{59}+2^{60}\right)\)
\(=2\left(1+2+2^2+2^3\right)+2^5\left(1+2+2^2+2^3\right)+...+2^{57}\left(1+2+2^2+2^3\right)\)
\(=15\left(2+2^5+...+2^{57}\right)\)
=>D chia hết cho cả 3 và 5
23*75+25*10+25*13+180
= 69*25+25*10+25*13+180
=(69+10+13)25+180
=92*25+180
=2300+180
=2480
23 * 75 + 25 * 10 + 25 * 13 + 180
= 23 * 75 + 25 * ( 10 + 13 ) + 180
= 23 * 75 + 25 * 23 + 180
= 23 * ( 75 + 25 ) + 180
= 23 * 100 + 180
= 2300 + 180
= 2480
a) ( -125) + 100 + 80 + 125 + 20
= [ ( -125)+125] + ( 80+20) + 100
= 0 + 100 + 100 = 200
b) 27 + 55 + (-17) + ( - 55)
= [ 27+(-17)] +[ 55+(-55)]
= 10 + 0 = 10
c) (-92) + (-251) + (-8) + 251
= [ (-92) + (-8)] + [ (-251)+251]
= (-100) + 0 = -100.
d) (-31) + (-95) +131 + (-5)
= [ (-31)+131] +[ (-95)+(-5)] = 100 + (-100) = 0
e) (187 - 23) - (20-180)
= 187 - 23 - 20 + 180 = (187-180) - (23-20) = 7 - 3 = 4
g) (-50+19+143) - (-79+25+48)
= -50+19+143 + 79 - 25 - 48
= [ -50-25] + (19 + 79) + 143 - 48
= -75 + 98 + 143 - 48 = 143 - 75 + ( 98 -48)
= 68 + 50 = 118
23 . 75 + 25 . 10 + 25 . 13 + 180 = 23 . 75 + 25.(10+13) + 180
= 23.75 + 25.23 + 180 = 23.(75 + 25) + 180
= 23.100 + 180 = 2300 + 180 = 2480
23 x 75 + 25 x 10 + 25 x 13 + 180
= 23 x 75 + 25 x ( 10 + 13 ) + 180
= 23 x 75 + 23 x 25 + 180
= 23 x ( 75 + 25 ) + 180
= 23 x 100 + 180
= 2300 + 180
= 2480
~ HOK TỐT ~
(-180-23)-(27-180)
=-180-23-27+180
=-50
\(\left(-180-23\right)-\left(27-180\right)\)
\(=-203-\left(-153\right)\)
\(=-50\)