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(-32).74-32.27+32
=32.(-74)-32.27+32
=32.[(-74)-27+1]
=32.(-100)
=-3200
\(-32\cdot74-32\cdot27+32\)
\(=32\left(-74-27+1\right)\)
\(=32\cdot\left(-100\right)\)
=-3200
\(a,23\cdot125+78\cdot125-125\\ =125\cdot\left(23+78-1\right)\\ =125\cdot100\\ =12500\\ b,37\cdot46+18\cdot54-17\cdot46+54\cdot2\\ =46\cdot\left(37-17\right)+54\cdot\left(18+2\right)\\ =46\cdot20+54\cdot20\\ =20\cdot\left(46+54\right)\\ =20\cdot100\\ =2000\\ b,3\cdot2^2-2^3:2+2^2\\ =3\cdot4-4+4\\ =12\\ d,7^3\cdot9+3^2\cdot7^4\\ =7^3\cdot9+7^4\cdot9\\ =7^3\cdot9\cdot\left(1+7\right)\\ =343\cdot9\cdot8\\ =24696\)
a) \(23\cdot125+78\cdot125-125\)
\(=125\cdot\left(23+78-1\right)\)
\(=125\cdot100\)
\(=12500\)
b) \(37\cdot46+18\cdot54-17\cdot46+54\cdot2\)
\(=54\cdot\left(18+2\right)+46\cdot\left(37-17\right)\)
\(=54\cdot20+46\cdot20\)
\(=54\cdot\left(20+46\right)\)
\(=20\cdot100\)
\(=2000\)
c) \(3\cdot2^2-2^3:2+2^2\)
\(=3\cdot2^2-2^2+2^2\)
\(=3\cdot2^2\)
\(=3\cdot4\)
\(=12\)
d) \(7^3\cdot9+3^2\cdot7^4\)
\(=7^3\cdot3^2+3^2\cdot7^4\)
\(=7^3\cdot3^2\cdot\left(1+7\right)\)
\(=24696\)
a) 23.125+78.125-125
= (23+78-1).125
= 100.125
= 12500
b) 37.46+18.54-17.46+54.2
= (37-17).46+(18+2).54
= 20.46+20.54
= 20.(46+54)
= 20.100
= 2000
c) 3.22-23:2+22
= 3.22-22+22
= 3.22
= 3.4
= 12
d) 73.9+32.74-45.539
= 73.9+9.74-5.9.72.11
= 9.(73+74)-5.9.72.11
=9.2744-9.2695
= 9.(2744-2695)
= 9.49
= 441
a/
=125(23+78-1)=125.100=12500
b/
=46(37-17)+54(18+2)
=20(46+54)=20.100=2000
c/
=3.22-22+22=3.4=12
d/
=73.32+32.74-5.32.72.11=
=32.72(7+72-55)=32.72=441
\(\left(32^8.11-32^3.32^5\right):32^7\)
\(=\left(32^8.11-32^8\right):32^7\)
\(=\left[32^8.\left(11-1\right)\right]:32^7\)
\(=\left[32^8.10\right]:32^7\)
\(=\frac{32^8}{32^7}.\frac{10}{32^7}\)
\(=\frac{32.10}{32^7}\)
\(=\frac{10}{32^6}\)
a)
\( 49.(51 - 4) - 51.(49 + 4)\)
\(=49.51-49.4-51.49-51.4\)
\(=49.(51-4-51)-51.4\)
\(=49.(-4)-51.4\)
\(=4.(-49-51)\)
\(=4.(-100)\)
\(=-400\)
b)
\( 71.64 + 32.(-7) - 13.32\)
\(=71.32.2+32.(-7)-13.32\)
\(=142.32+32.(-7)-13.32\)
\(=32.(142-7-13)\)
\(=32.122\)
\(=3904\)
c)
\( 11 + (-13) + 15 + (-17) + ... + 59 + (-61)\)
\(=(-2)+(-2)+...+(-2)\)
\(=(-2).13\)
\(=-26\)
a. 49.51- 49.4 -51.49 -51.4
= -49.4 - 51.4
=4.(-49-51)
=4.-100
=-400
b.71.64 + 32.(-7) -13.32
= 71.64 + 32.(-7-13)
=71.64 + 32.-20
=71.32.2 +32.-20
=32.(71x2-20)
=32. 122
= 3904
c. (11-13)+(15-17)+..+(59-61)
=-2 x 13
=-26
a) 463+318+137+22
= (463+137)+(318+22)
= 600+340
= 940
b) 185.32-32.85
= 32.(185-85)
= 32 . 100
= 3200
c) \(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left(390:130\right)\)
\(\text{= }15:3\)
\(\text{= }5\)
a)\(463+318+137+22\)
\(=\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
b)\(185.3^2-3^2.85\)
\(=3^2.\left(185-85\right)\)
\(=9.100=900\)
c)\(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(=15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left\{390:130\right\}\)
\(=15:3=5\)
\(-32\cdot74-32\cdot27+32\)
\(=32\left(-74-27+1\right)\)
\(=32\cdot\left(-100\right)=-3200\)