题目内容

13.计算题
105-1800÷45
$\frac{1}{8}$×1.2×(3$\frac{1}{5}$÷$\frac{2}{5}$)
12÷1.5-(0.7-0.55)
[(9$\frac{1}{5}$-7$\frac{1}{2}$)÷2$\frac{3}{4}$]÷1$\frac{1}{5}$
[(4.25-3$\frac{1}{8}$)×2.4+10÷6$\frac{1}{4}$]÷0.13.

分析 (1)先算除法,再算减法;
(2)先算除法,再根据乘法交换律进行简算;
(3)先算小括号里面的减法,再算除法,最后算括号外面的减法;
(4)先算减法,再算中括号里面的除法,最后算括号外面的除法;
(5)先算减法,再算中括号里面的乘法和除法,最后算括号外面的除法.

解答 解:(1)105-1800÷45
=105-40
=65;

(2)$\frac{1}{8}$×1.2×(3$\frac{1}{5}$÷$\frac{2}{5}$)
=$\frac{1}{8}$×1.2×8
=$\frac{1}{8}$×8×1.2
=1×1.2
=1.2;

(3)12÷1.5-(0.7-0.55)
=12÷1.5-0.15
=8-0.15
=7.85;

(4)[(9$\frac{1}{5}$-7$\frac{1}{2}$)÷2$\frac{3}{4}$]÷1$\frac{1}{5}$
=[1$\frac{7}{10}$÷2$\frac{3}{4}$]÷1$\frac{1}{5}$
=$\frac{34}{55}$÷1$\frac{1}{5}$
=$\frac{17}{33}$;

(5)[(4.25-3$\frac{1}{8}$)×2.4+10÷6$\frac{1}{4}$]÷0.13
=[1.125×2.4+10÷6$\frac{1}{4}$]÷0.13
=[2.7+1.6]÷0.13
=4.3÷0.13
=$\frac{430}{13}$.

点评 考查了整数、小数和分数四则混合运算,注意运算顺序和运算法则,然后再进一步计算.

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