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a) (-12).(-12) = 12.12 = 144
b) (-137) (-15) = 137.15 = 2055.
1) a) (-12).12 = -(12.12) = -144
b) 137.(-15) = -(137.15) = - 2 055
2) 5.(-12) = -(5.12) = -60
a) − 1 2 − 7 8 + 13 16 = − 8 16 − 14 16 + 13 16 = − 9 16
b) 13 7 − − 3 11 + 6 42 = 13 7 + 1 7 + 3 11 = 2 + 3 11 = 2 3 11
a) (15, 37 – 12, 37) . 0,12 = 3. 0,12 = 0,36
b) 6 5 12 : 2 3 4 + 11 1 4 . 1 3 − 1 5 = 77 12 : 11 4 + 45 4 . 2 15 = 77 33 + 3 2 = 23 6
\(\left[32-\left(-15\right)\right]+\left[-12-45\right]-\left[15+\left(-41\right)-12\right]\)
\(=32+15-12-45-15+41+12\)
\(=32-45+41+\left(15-15\right)+\left(12-12\right)\)
\(=28\)
a) 2^4 * 38 - 2^4 * 37 = 16 * 38 - 16 * 37 = 608 - 592 = 16
b) 4^2 * 444446 - 4^3 * 111111 = 16 * 444446 - 64 * 111111 = 7107136 - 7106944 = 192
c) (2^9 * 3 + 2^9 * 5) / 2^12 = (512 * 3 + 512 * 5) / 4096 = (1536 + 2560) / 4096 = 4096 / 4096 = 1
d) 13^2 - (5^2 * 4 + 2^2 * 15) = 169 - (25 * 4 + 4 * 15) = 169 - (100 + 60) = 169 - 160 = 9
\(a,2^4.38-2^4.37=2^4.\left(38-37\right)=2^4.1=16\\ b,4^2.444446-4^3.111111\\ =4^2.\left(444446-4.111111\right)\\ =4^2.2=16.2=32\\ c,\left(2^9.3+2^9.5\right):2^{12}\\ =2^9.\left(3+5\right):2^{12}=2^9.8:2^{12}=2^9.2^3:2^{12}=2^{9+3-12}=2^0=1\\ d,13^2-\left(5^2.4+2^4.15\right)=13^2-5.4.\left(5+4.3\right)\\ =169-20.17\\ =169-340=-171\)
a, \(\dfrac{7}{15}\)+\(\dfrac{18}{54}\)
= \(\dfrac{7}{15}\)+ \(\dfrac{1}{3}\)
= \(\dfrac{7}{15}\)+\(\dfrac{5}{15}\)
= \(\dfrac{12}{15}\) = \(\dfrac{4}{5}\) =0,8
b, \(\dfrac{12}{25}\)+\(\dfrac{23}{75}\)-\(\dfrac{1}{4}\)
= \(\dfrac{59}{75}\) -\(\dfrac{1}{4}\)
= \(\dfrac{161}{300}\)
144
2055
\(\left(-12\right).\left(-12\right)=144\)
\(\left(-137\right).\left(-15\right)=2055\)