BÀI 1: TÍNH NHANH
a,(-30)+(-29)+(-28)+...+48+49+50
b,(-596)+2001+1999+(-404)+189
c,1+(-6)+11+(-16)+21+(-26)
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1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50=1275
1) \(\left(+15\right)+\left(+17\right)=15+17=32\)
2) \(\left(-3\right)+\left(-7\right)=-3-7=-\left(3+7\right)=-10\)
3) \(\left(-25\right)+\left(+4\right)=-25+4=-\left(25-4\right)=-21\)
4) \(\left(-6\right)+\left(-54\right)=-6-54=-\left(6+54\right)=-60\)
5) \(\left(-15\right)+20=20-15=5\)
6) \(\left(-5\right)+8+7+5\)
\(=\left(-5+5\right)+\left(8+7\right)\)
\(=15\)
7) \(\left(-8\right)+\left(-11\right)+\left(-2\right)\)
\(=\left[\left(-8\right)+\left(-2\right)\right]+\left(-11\right)\)
\(=\left(-10\right)+\left(-11\right)\)
\(=-21\)
8) \(15+\left(-5\right)+\left(-14\right)+\left(-16\right)\)
\(=\left[15+\left(-5\right)\right]+\left[\left(-14\right)+\left(-16\right)\right]\)
\(=10+\left(-30\right)\)
\(=-20\)
9) \(\left(-20\right)+\left(-14\right)+3+\left(-86\right)\)
\(=\left[\left(-20\right)+3\right]+\left[\left(-14\right)+\left(-86\right)\right]\)
\(=\left(-17\right)+\left(-100\right)\)
\(=-117\)
10) \(\left(-136\right)+123+\left(-264\right)+\left(-83\right)+240\)
\(=\left[\left(-136\right)+\left(-264\right)\right]+\left[123+\left(-83\right)\right]+240\)
\(=\left(-400\right)+40+240\)
\(=\left(-360\right)+240\)
\(=-120\)
11) \(\left(-596\right)+2001+1999+\left(-404+189\right)\)
\(=\left(-596\right)+2001+1999-404+189\)
\(=\left[\left(-596\right)-404\right]+\left(2001+189\right)+1999\)
\(=\left(-1000\right)+2190+1999\)
\(=1190+1999\)
\(=3189\)
12) \(314+\left(-153\right)+64+121+\left(-247\right)+218\)
\(=\left(314+64+121\right)+\left[\left(-153\right)+\left(-247\right)\right]+218\)
\(=\left(378+121\right)+\left(-400\right)+218\)
\(=499-400+218\)
\(=99+218\)
\(=317\)
\(\text{#}Toru\)
Bài 3 : a) 3784 + 23 - 3785 - 15
= (3784 - 3785) + (23 - 15)
= -1 + 8
= 7
b) 21 + 22 + 23 + 24 - 11 - 12 - 13 - 14
= (21 - 11) + (22 - 12) + (23 - 13) + (24 - 14)
= 10 + 10 + 10 + 10
= 40
Bài 4 : a) -2001 + (1999 + 2001)
= -2001 + 1999 + 2001
= ( - 2001 + 2001 ) + 1999
= 0 + 1999
= 1999
B) (43 - 863) - (137 - 57)
= 43 - 863 - 137 - 57
= (43 - 57) + ( -863 - 137 )
= -14 + -1000
= -1014
Nhớ tick !!!
a) ( - 30 ) + ( - 29 ) + ( - 28 ) + ... + 48 + 49 + 50
= [ ( - 30 ) + 30 ] + [ ( - 29 ) + 29 ] + [ ( - 28 ) + 28 ] + ..... + 48 + 49 + 50
= 0 + 0 + 0 + .... + 31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46 + 47 + 48 + 49 + 50
= 31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46 + 47 + 48 + 49 + 50
= ( 31 + 49 ) + ( 32 + 48 ) + ( 33 + 47 ) + ( 34 + 46 ) + ( 35 + 45 ) + ( 36 + 44 ) + ( 37 + 43 ) + ( 38 + 42 ) + ( 39 + 41 ) + 50
= 80 + 80 + 80 + 80 + 80 + 80 + 80 + 80 + 80 + 50
= 80 . 9 + 50
= 720 + 50
= 770