# P ̐ƕ̐

#### SDl̍vZ

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(1)
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(2) |PQ{i|Qj~i|Uj
(3) i|Uj~R|i|Qj~W
(4) PU÷i|Sj|R
(5) |PS|i|QPj÷V
(6) i|PTj÷R|i|QSj÷Q

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(2) |PQ{i|Qj~i|Uj
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(3) i|Uj~R|i|Qj~W
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(4) PU÷i|Sj|R
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(5) |PS|i|QPj÷V
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|PP

(6) i|PTj÷R|i|QSj÷Q
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(2)
(1) $\left( -\dfrac {2} {3} \right) \times \left( -\dfrac {5} {9} \right) -\dfrac {7} {27}$
(2) $\left( -\dfrac {3} {4} \right) \times \dfrac {5} {6} -\dfrac {1} {4}$
(3) $\left( -\dfrac {1} {2} \right) \times \left( -\dfrac {6} {5} \right) -1.3$
(4) $-\dfrac {1} {6} - \left( -\dfrac {3} {10} \right) \times 5$
(5) $-3 \times \dfrac {7} {12} -\dfrac {2} {3} \times \left( -\dfrac {1} {4} \right)$
(6) $\dfrac {1} {2} \times \left( -\dfrac {1} {3} \right) -\dfrac {2} {3} \times \left( -\dfrac {1} {4} \right)$

(1) $\left( -\dfrac {2} {3} \right) \times \left( -\dfrac {5} {9} \right) -\dfrac {7} {27}$
$=\dfrac {10} {27} -\dfrac {7} {27}$
$=\dfrac {3} {27}$
$=\dfrac {1} {9}$

(2) $\left( -\dfrac {3} {4} \right) \times \dfrac {5} {6} -\dfrac {1} {4}$
$=\left( -\dfrac {1} {4} \right) \times \dfrac {5} {2} -\dfrac {1} {4}$
$-\dfrac {5} {8} -\dfrac {2} {8}$
$-\dfrac {7} {8}$

(3) $\left( -\dfrac {1} {2} \right) \times \left( -\dfrac {6} {5} \right) -1.3$
$=\dfrac {6} {10} -\dfrac {13} {10}$
$=-\dfrac {7} {10}$

(4) $-\dfrac {1} {6} - \left( -\dfrac {3} {10} \right) \times 5$
$=-\dfrac {1} {6} +\dfrac {3} {2}$
$=-\dfrac {1} {6} +\dfrac {9} {6}$
$=\dfrac {8} {6}$
$=\dfrac {4} {3}$

(5) $-3 \times \dfrac {7} {12} -\dfrac {2} {3} \times \left( -\dfrac {1} {4} \right)$
$=-\dfrac {21} {12} +\dfrac {2} {12}$
$=-\dfrac {19} {12}$

(6) $\dfrac {1} {2} \times \left( -\dfrac {1} {3} \right) -\dfrac {2} {3} \times \left( -\dfrac {1} {4} \right)$
$=-\dfrac {1} {6} +\dfrac {1} {6}$
$=0$

(3)
(1) $\left( -\dfrac {1} {5} \right) \div \dfrac {4} {25} +\dfrac {3} {4}$
(2) $-\dfrac {2} {3} -\left( -\dfrac {1} {2} \right) \div \left( -\dfrac {1} {3} \right)$
(3) $\dfrac {2} {3} \div \left( -\dfrac {1} {2} \right) -\dfrac {1} {4} \div \left( -\dfrac {3} {8} \right)$
(4) $\left( -3 \right) \div \dfrac {3} {5} + \left( -\dfrac {3} {4} \right) \div \left( -\dfrac {5} {12} \right)$
(5) $-\dfrac {2} {3} \div 2 + \dfrac {8} {9} \times \left( -\dfrac {1} {2} \right)$
(6) $\dfrac {3} {5} \times \dfrac {3} {4} - \left( -\dfrac {2} {7} \right)\div \left( -\dfrac {8} {21} \right)$

(1) $\left( -\dfrac {1} {5} \right) \div \dfrac {4} {25} +\dfrac {3} {4}$
$=\left( -\dfrac {1} {5} \right) \times \dfrac {25} {4} +\dfrac {3} {4}$
$=-\dfrac {5} {4} +\dfrac {3} {4}$
$=-\dfrac {2} {4}$
$=-\dfrac {1} {2}$

(2) $-\dfrac {2} {3} -\left( -\dfrac {1} {2} \right) \div \left( -\dfrac {1} {3} \right)$
$=-\dfrac {2} {3} -\left( -\dfrac {1} {2} \right) \times \left( -3\right)$
$=-\dfrac {2} {3} -\dfrac {3} {2}$
$=-\dfrac {4} {6} -\dfrac {9} {6}$
$=-\dfrac {13} {6}$

(3) $\dfrac {2} {3} \div \left( -\dfrac {1} {2} \right) -\dfrac {1} {4} \div \left( -\dfrac {3} {8} \right)$
$=\dfrac {2} {3} \times \left( -2 \right) -\dfrac {1} {4} \times \left( -\dfrac {8} {3} \right)$
$=-\dfrac {4} {3} +\dfrac {2} {3}$
$=-\dfrac {2} {3}$

(4) $\left( -3 \right) \div \dfrac {3} {5} + \left( -\dfrac {3} {4} \right) \div \left( -\dfrac {5} {12} \right)$
$=\left( -3 \right) \times \dfrac {5} {3} + \left( -\dfrac {3} {4} \right) \times \left( -\dfrac {12} {5} \right)$
$=-5+\dfrac {9} {5}$
$=-\dfrac {25} {5}+\dfrac {9} {5}$
$=-\dfrac {16} {5}$
(5) $-\dfrac {2} {3} \div 2 + \dfrac {8} {9} \times \left( -\dfrac {1} {2} \right)$
$=-\dfrac {2} {3} \times \dfrac {1} {2} -\dfrac {4} {9}$
$=-\dfrac {1} {3} -\dfrac {4} {9}$
$=-\dfrac {3} {9} -\dfrac {4} {9}$
$=-\dfrac {7} {9}$

(6) $\dfrac {3} {5} \times \dfrac {3} {4} - \left( -\dfrac {2} {7} \right)\div \left( -\dfrac {8} {21} \right)$
$=\dfrac {9} {20} - \left( -\dfrac {2} {7} \right)\times \left( -\dfrac {21} {8} \right)$
$=\dfrac {9} {20} -\dfrac {3} {4}$
$=\dfrac {9} {20} -\dfrac {15} {20}$
$=-\dfrac {6} {20}$
$=-\dfrac {3} {10}$

(4)
(1) $5\times \{ -4-\left( 3-11\right) \}$
(2) $16\div \{ -3+\left( 4-9\right) \}$
(3) $-14\div \left(-7-5\right)+ \left(-12\right)\div \left(-4-2\right)$
(4) $-3 \times \left( \dfrac {2} {7} -\dfrac {2} {3} \right)$
(5) $1.1 \div \left( \dfrac {2} {7} -\dfrac {3} {5} \right)$
(6) $\left( -\dfrac {1} {8} +\dfrac {3} {4} \right) \div \left( -\dfrac {5} {12} \right)$

(1) $5\times \{ -4-\left( 3-11\right) \}$
$=5\times \{ -4-\left( -8\right) \}$
$=5\times \left( -4+8\right)$
$=5\times 4$
$=20$

(2) $16\div \{ -3+\left( 4-9\right) \}$
$=16\div \{ -3+\left( -5\right) \}$
$=16\div \left( -8\right)$
$=-2$

(3) $-14\div \left(-7-5\right)+ \left(-12\right)\div \left(-4-2\right)$
$=-14 \div \left(-12\right)+ \left(-12\right)\div \left(-6\right)$
$=\dfrac {7} {6} + 2$
$=\dfrac {7} {6} + \dfrac {12} {6}$
$=\dfrac {19} {6}$

(4) $-3 \times \left( \dfrac {2} {7} -\dfrac {2} {3} \right)$
$=-3 \times \left( \dfrac {6} {21} -\dfrac {14} {21} \right)$
$=-3 \times \left( -\dfrac {8} {21} \right)$
$=\dfrac {24} {21}$
$=\dfrac {8} {7}$

(5) $1.1 \div \left( \dfrac {2} {7} -\dfrac {3} {5} \right)$
$=\dfrac {11} {10} \div \left( \dfrac {10} {35} -\dfrac {21} {35} \right)$
$=\dfrac {11} {10} \div \left( -\dfrac {11} {35} \right)$
$=\dfrac {11} {10} \times \left( -\dfrac {35} {11} \right)$
$=-\dfrac {7} {2}$

(6) $\left( -\dfrac {1} {8} +\dfrac {3} {4} \right) \div \left( -\dfrac {5} {12} \right)$
$=\left( -\dfrac {1} {8} +\dfrac {6} {8} \right) \times \left( -\dfrac {12} {5} \right)$
$=\dfrac {5} {8} \times \left( -\dfrac {12} {5} \right)$
$=-\dfrac {3} {2}$

(5)
(1) $-4^{2} \div 8 - \left(-3\right)$
(2) $3^{2} +8\times \left(-2^{2} \right)$
(3) $\left(-2\right)^{4} +\left(-12\right)\div \dfrac {6} {5}$
(4) $\left(-2^{2} \right)-\left(-3\right)^{2} \times \left(-2\right)$
(5) $7^{2} +2\times \left(-5^{2} \right)$
(6) $3^{3} +\left(-3\right)^2 \times \left(-2\right)^3$

(1) $-4^{2} \div 8 - \left(-3\right)$
$=-16\div 8+3$
$=-2+3$
$=1$

(2) $3^{2} +8\times \left(-2^{2} \right)$
$=9+8\times \left(-4\right)$
$=9+\left(-32\right)$
$=-23$

(3) $\left(-2\right)^{4} +\left(-12\right)\div \dfrac {6} {5}$
$=16+\left(-12\right)\times \dfrac {5} {6}$
$=16+\left(-10\right)$
$=6$

(4) $\left(-2^{2} \right)-\left(-3\right)^{2} \times \left(-2\right)$
$=-4-9\times \left(-2\right)$
$=-4+18$
$=14$

(5) $7^{2} +2\times \left(-5^{2} \right)$
$=49+2\times \left(-25\right)$
$=49-50$
$=-1$

(6) $3^{3} +\left(-3\right)^2 \times \left(-2\right)^3$
$=27+9\times \left(-8\right)$
$=27-72$
$=-45$

(6)
(1) $\left(\dfrac {1} {2} \right)^3 -\left(-\dfrac {1} {4} \right)^2$
(2)  $2-\left(-\dfrac {4} {3} \right)^2 \div \dfrac {2} {3}$
(3) $\left(-4\right)^3 \div \dfrac {4} {3} -3 \times \left(-2^4 \right)$
(4) $\left(-\dfrac {8} {9} \right)\times \left(-0.75\right)^2 -0.25^2$
(5) $\left(-0.125\right)\div \left(-0.5\right)^3 -1.25^2$
(6) $\left(-0.375\right)^2 \div 0.25^2 -0.75^2$

(1) $\left(\dfrac {1} {2} \right)^3 -\left(-\dfrac {1} {4} \right)^2$
$=\dfrac {1} {8} -\dfrac {1} {16}$
$=\dfrac {2} {16} -\dfrac {1} {16}$
$=\dfrac {1} {16}$

(2)  $2-\left(-\dfrac {4} {3} \right)^2 \div \dfrac {2} {3}$
$=2-\dfrac {16} {9} \times \dfrac {3} {2}$
$=2-\dfrac {8} {3}$
$=\dfrac {6} {3} -\dfrac {8} {3}$
$=-\dfrac {2} {3}$

(3) $\left(-4\right)^3 \div \dfrac {4} {3} -3\times \left(-2^4 \right)$
$\left(-4\right)^3 \times \dfrac {3} {4} -3\times \left(-16\right)$
$=-48+48$
$=0$

(4) $\left(-\dfrac {8} {9} \right)\times \left(-0.75\right)^2 -0.25^2$
$=\left(-\dfrac {8} {9} \right)\times \left(-\dfrac {3} {4} \right)^2-\left(\dfrac {1} {4} \right)^2$
$=\left(-\dfrac {8} {9} \right)\times \dfrac {9} {16} -\dfrac {1} {16}$
$=-\dfrac {1} {2} -\dfrac {1} {16}$
$=-\dfrac {8} {16} -\dfrac {1} {16}$
$=-\dfrac {9} {16}$

(5) $\left(-0.125\right)\div \left(-0.5\right)^3 -1.25^2$
$=\left(-\dfrac {1} {8} \right) \div \left(-\dfrac {1} {2} \right)^3 -\left(\dfrac {5} {4} \right)^2$
$=\left(-\dfrac {1} {8} \right) \times \left(-2\right)^3 -\dfrac {25} {16}$
$=\left(-\dfrac {1} {8} \right) \times \left(-8\right) -\dfrac {25} {16}$
$=1-\dfrac {25} {16}$
$=-\dfrac {9} {16}$

(6) $\left(-0.375\right)^2 \div 0.25^2 -0.75^2$
$=\left(-\dfrac {3} {8} \right)^2 \div \left(\dfrac {1} {4} \right)^2-\left(\dfrac {3} {4} \right)^2$
$=\left(-\dfrac {3} {8} \right)^2 \times 4^2 -\left(\dfrac {3} {4} \right)^2$
$=\dfrac {9} {64} \times 16-\dfrac {9} {16}$
$=\dfrac {9} {4} -\dfrac {9} {16}$
$=\dfrac {36} {16} -\dfrac {9} {16}$
$=\dfrac {27} {16}$

(7)
(1) $\left(-12\right)\times \left(\dfrac {7} {6} -\dfrac {7} {4} \right)$
(2) $24\times \left(\dfrac {1} {6} +\dfrac {3} {2} -\dfrac {9} {8} \right)$
(3) $\left(-7\right)\times 26+\left(-7\right)\times \left(-6\right)$
(4) $19\times 3.1415-3.1415\times 9$

(1) $\left(-12\right)\times \left(\dfrac {7} {6} -\dfrac {7} {4} \right)$
$=\left(-12\right)\times \dfrac {7} {6} -\left(-12\right)\times \dfrac {7} {4}$
$=-14-\left(-21\right)$
$=-14+21$
$=7$

(2) $24\times \left(\dfrac {1} {6} +\dfrac {3} {2} -\dfrac {9} {8} \right)$
$=24\times \dfrac {1} {6} +24\times \dfrac {3} {2} -24\times \dfrac {9} {8}$
$=4+36-27$
$=13$

(3) $\left(-7\right)\times 26+\left(-7\right)\times \left(-6\right)$
$=\left(-7\right)\times \{26+ \left(-6\right)\}$
$=\left(-7\right)\times 20$
$=-140$

(4) $19\times 3.1415-3.1415\times 9$
$=3.1415\times \left(19-9\right)$
$=3.1415\times 10$
$=31.415$