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b) -123.47 + 47.23 = -47(123 - 23) = -47.100 = -4700
a)
9 8 − 4 7 + − 1 8 + 11 7 = 9 8 + − 1 8 + − 4 7 + 11 7 = 1 + 1 = 2
b)
− 5 7 ⋅ 3 11 + − 5 7 ⋅ 8 11 + 5 7 = − 5 7 3 11 + 8 11 − 1 = − 5 7 .0 = 0
a) 4 7 + 3 4 + 2 7 + 5 4 + 1 7 = 4 7 + 2 7 + 1 7 + 3 4 + 5 4 = 3
b) − 5 7 + 3 4 + − 1 5 + − 2 7 + 1 4 = − 5 7 + − 2 7 + 3 4 + 1 4 + − 1 5 = − 1 + 1 + − 1 5 = − 1 5
\(a,\left(13+150+47\right)-\left(13+47\right)\)
\(=13+150+47-13-47\)
\(=\left[13+\left(-13\right)\right]+\left[47+\left(-47\right)\right]+150\)
\(=0+0+150\)
\(=150\)
\(b,\left(-237\right)-\left[\left(-237+155\right)-55\right]\)
\(=\left(-237\right)+237+155-55\)
\(=0+100\)
\(=100\)
\(c,57.\left(62-43\right)-62.\left(57-43\right)\)
\(=57.62-57.43-62.57+62.43\)
\(=-57.43+62.43\)
\(=43.\left(-57+62\right)\)
\(=43.5\)
\(=215\)
a , ( 13 + 150 + 47 ) - ( 13 + 47 )
= 12 + 150 + 47 - 13 - 47
= [ 12 + ( - 13 ) ] + [ 47 + ( - 47 ) ] + 150
= - 1 + 0 + 150
= 149
b , ( - 237 ) - [ ( - 237 + 155 ) - 55 ]
= - 237 - [ - 237 + 155 - 55 ]
= - 237 + 237 - 155 + 55
= [ ( - 237 ) + 237 ] + [ ( - 155 ) + 55 ]
= 0 + ( - 100 )
= - 100
c , 57 . ( 62 - 43 ) - 62 . ( 57 - 43 )
= 57 . 62 - 57 . 43 - 62 . 57 - 62 . 43
= [ 57 . 62 - 62 . 57 ] . [ 62 . 43 - 62 . 43 ]
= 0 . 0
= 0
a) -56 - ( 47 - 56 ) + 33
= -56 - 47 + 56 + 33
= ( -56 + 56 ) - ( 47 - 33 )
= -14
b) 168 + ( 35 - 68 ) - 35
= 168 + 35 - 68 - 35
= ( 168 - 68 ) + ( 35 - 35 )
= 100
\(\dfrac{-5}{21}+\dfrac{-2}{21}+\dfrac{8}{24}=\dfrac{-7}{21}+\dfrac{8}{24}=\dfrac{-1}{3}+\dfrac{1}{3}=\dfrac{0}{3}=0\)\(\dfrac{-3}{7}+\dfrac{5}{13}+\dfrac{-4}{7}=(\dfrac{-3}{7}+\dfrac{-4}{7})+\dfrac{5}{13}=\dfrac{-7}{7}+\dfrac{5}{13}=\left(-1\right)+\dfrac{5}{13}=\dfrac{-13}{13}+\dfrac{5}{13}=\dfrac{-8}{13}\)
a) \(\dfrac{-3}{7}+\dfrac{5}{13}+\dfrac{-4}{7}=\left(\dfrac{-3}{7}+\dfrac{-4}{7}\right)+\dfrac{5}{13}\)
= -1+\(\dfrac{5}{13}\)
=\(\dfrac{-13}{13}+\dfrac{3}{13}\)
=\(\dfrac{-8}{13}\)