题目内容
(8.8-23.4×)÷ | |
87.8-(7.58-3.8) | |
解方程: | 6x+=0.8×1.5. |
解:①×3.5+5.5×80%+0.8,
=0.8×3.5+5.5×0.8+0.8,
=0.8×(3.5+5.5+1),
=0.8×10,
=8;
②(8.8-23.4×)÷,
=(8.8-7.8)×,
=,
=1;
③87.8-(7.58-3.8),
=87.8-3.78,
=84.02;
④÷(+×),
=÷(+),
=×,
=;
⑤×(11+44)+÷,
=×55+×25,
=60+15,
=75;
⑥×0.25+0.357×,
=(+)×,
=;
⑦:=1:x,
x=×,
x=,
x÷=÷,
x=;
⑧6x+=0.8×1.5,
6x+0.2=1.2,
6x+0.2-0.2=1.2-0.2,
6x=1,
6x÷6=1÷6,
x=.
分析:①和80%都看作0.8,根据乘法分配律律计算简便;
②先算括号里乘除,再算加减,最后括号外面的除;
③先计算括号里面的减,再计算括号外面的减法;
④先算括号里的乘,再算加,最后算括号外面除;
⑤先算括号里的11+44,再算括号外面的乘和除,最后算加;
⑥看作0.25,0.375看作,利用分配律计算简便;
⑦利用比例的基本性质把算式变成x=×,再利用等式的基本性质方程的两边同时除以;
⑧先计算0.8×1.5,再利用等式的基本性质计算.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.也考查了比例和等式的基本性质.
=0.8×3.5+5.5×0.8+0.8,
=0.8×(3.5+5.5+1),
=0.8×10,
=8;
②(8.8-23.4×)÷,
=(8.8-7.8)×,
=,
=1;
③87.8-(7.58-3.8),
=87.8-3.78,
=84.02;
④÷(+×),
=÷(+),
=×,
=;
⑤×(11+44)+÷,
=×55+×25,
=60+15,
=75;
⑥×0.25+0.357×,
=(+)×,
=;
⑦:=1:x,
x=×,
x=,
x÷=÷,
x=;
⑧6x+=0.8×1.5,
6x+0.2=1.2,
6x+0.2-0.2=1.2-0.2,
6x=1,
6x÷6=1÷6,
x=.
分析:①和80%都看作0.8,根据乘法分配律律计算简便;
②先算括号里乘除,再算加减,最后括号外面的除;
③先计算括号里面的减,再计算括号外面的减法;
④先算括号里的乘,再算加,最后算括号外面除;
⑤先算括号里的11+44,再算括号外面的乘和除,最后算加;
⑥看作0.25,0.375看作,利用分配律计算简便;
⑦利用比例的基本性质把算式变成x=×,再利用等式的基本性质方程的两边同时除以;
⑧先计算0.8×1.5,再利用等式的基本性质计算.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.也考查了比例和等式的基本性质.
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