题目内容
计算(写出计算过程)
(1)(-3.14)+(+4.96)+(+2.14)+(-7.96)
(2)
(3)(-3.2)×1.5
(4)
(5)
.
(6)
(7)(
)×(-36)
(8)-99
9
(9)
(10)-125÷(-25)-64÷(-4)
(11)2×(-3)2
(12)
.
解:(1)(-3.14)+(+4.96)+(+2.14)+(-7.96)
=-3.14+2.14+4.96-7.96
=-1-3
=-4;
(2)
=-2.125+1.125-3.5+4.5+5
=-1+1+5
=5;
(3)(-3.2)×1.5
=-4.8;
(4)
=-22;
(5)
=-4×
×25×6
=-200;
(6)
=24×
-24×
-24×
=3-4-6
=-7;
(7)(
)×(-36)
=
×(-36)-
×(-36)-
×(-36)-
×(-36)
=-9+4+2+3
=0;
(8)-99
9
=(-100+
)×9
=-100×9+
×9
=-900+
=-899
;
(9)
=0;
(10)-125÷(-25)-64÷(-4)
=5+16
=21;
(11)2×(-3)2
=2×9-5×2×2
=18-20
=-2;
(12)
=-8×8-8×
+8×8
=-64-1+64
=-1.
分析:(1)(2)先化简,再分类计算;
(3)(4)(5)先判定符号,再按照乘法法则计算;
(6)(7)(8)利用乘法分律率简算;
(9)0乘任何数都为0;
(10)先算除法,再算减法;
(11)先算乘方,再算乘法,最后算减法;
(12)先算乘方,再算乘除,最后算加减.
点评:此题考查有理数的混合运算,注意运算顺序,灵活运用运算定律使计算简便.
=-3.14+2.14+4.96-7.96
=-1-3
=-4;
(2)
=-2.125+1.125-3.5+4.5+5
=-1+1+5
=5;
(3)(-3.2)×1.5
=-4.8;
(4)
=-22;
(5)
=-4×
=-200;
(6)
=24×
=3-4-6
=-7;
(7)(
=
=-9+4+2+3
=0;
(8)-99
=(-100+
=-100×9+
=-900+
=-899
(9)
=0;
(10)-125÷(-25)-64÷(-4)
=5+16
=21;
(11)2×(-3)2
=2×9-5×2×2
=18-20
=-2;
(12)
=-8×8-8×
=-64-1+64
=-1.
分析:(1)(2)先化简,再分类计算;
(3)(4)(5)先判定符号,再按照乘法法则计算;
(6)(7)(8)利用乘法分律率简算;
(9)0乘任何数都为0;
(10)先算除法,再算减法;
(11)先算乘方,再算乘法,最后算减法;
(12)先算乘方,再算乘除,最后算加减.
点评:此题考查有理数的混合运算,注意运算顺序,灵活运用运算定律使计算简便.
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