tính nhanh (1+2+3+...+14+15):(32.2)
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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) \(314+\left(-153\right)+64+121+\left(-247\right)+218\)
\(=\left(314+64+121\right)+\left[\left(-153\right)+\left(-247\right)\right]+218\)
\(=\left(378+121\right)+\left(-400\right)+218\)
\(=499-400+218\)
\(=99+218\)
\(=317\)
\(\text{#}Toru\)

a) 5 – 4 – 3 – 2 – 1 + 11 + 12 + 13 + 14 + 15
= (5 + 15) + (14 – 4) + (13 – 3) + (12 – 2) + (11 – 1)
= 20 + 10 + 10 + 10 + 10
= 60
b) 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10 +11
= (1 + 3 + 5 + 7 + 9 + 11) – 2 – 4 – 8 – 10
= 36 – 24
= 12

a) 5 – 4 – 3 – 2 – 1 + 11 + 12 + 13 + 14 + 15
= (5 + 15) + (14 – 4) + (13 – 3) + (12 – 2) + (11 – 1)
= 20 + 10 + 10 + 10 + 10
= 60
b) 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10 +11
= (1 + 3 + 5 + 7 + 9 + 11) – 2 – 4 – 8 – 10
= 36 – 24
= 12

1. 14 + 6 + I -9 I + ( -14 )
= [ ( -14) + 14 ] + 6 + I -9 I
= 0 + 6 + 9
= 15
2.
a) Ix - 3I = 15
=> x-3= - 15 hoặc x-3=15
*Nếu x-3=-15
=> x = -15 + 3
x = -12
*Nếu x-3= 15
=> x = 15+3
x = 18
Vậy x=18 hoặc x= -12
b) giải tương tự câu a
c) -3<x<-1
=> x= -2


bải giải
C.dài: 75 cm
C.rộng 60cm
Diện tích phòng học em là:
75 x 60 =4500 ( cm2 )
đáp số: 4500 cm2 .

\(942\times112-942\times11-942\)
\(=942\times\left(112-11-1\right)\)
\(=942\times100\)
\(=94200\)
\(\dfrac{1}{3}\times\dfrac{14}{15}+\dfrac{14}{15}\times\dfrac{2}{3}\)
\(=\dfrac{14}{15}\times\left(\dfrac{1}{3}+\dfrac{2}{3}\right)\)
\(=\dfrac{14}{15}\times\left(\dfrac{1+2}{3}\right)\)
\(=\dfrac{14}{15}\times\dfrac{3}{3}\)
\(=\dfrac{14}{15}\times1\)
\(=\dfrac{14}{15}\)
942 \(\times\) 112 - 942 \(\times\) 11 - 942
= 942 \(\times\) 112 - 942 \(\times\) 11 - 942 \(\times\) 1
= 942 \(\times\) ( 112 - 11 - 1)
= 942 \(\times\) 100
= 94200
(1+15)x(15-1+1):2:32.2
120:64=1,875