3. 计算。
(1) 直接写出得数。
$26×50 =$
$10 - 0.86 =$
$25×0.2÷25×0.2 =$
$8÷\frac{4}{5} =$
$12×(\frac{1}{4} + \frac{1}{6}) =$
$2.5×3.5×0.4 =$
(2) 计算下面各题,能简便计算的请用简便方法计算。
$713÷23×28$
$8.5×99$
$9.6 - 11÷7 + \frac{1}{7}×4$
$87.58 - (7.58 - 3.8)$
$1.25×25×3.2$
$\frac{4}{5}×3.5 + 5.5×80\% + 1÷1\frac{1}{4}$
(3) 解比例和方程。
$\frac{3}{4}x + 0.2x = 9.5$
$2.5:5 = x:\frac{4}{5}$
$0.45×(x - 3.7) = 9$
(1) 直接写出得数。
$26×50 =$
$10 - 0.86 =$
$25×0.2÷25×0.2 =$
$8÷\frac{4}{5} =$
$12×(\frac{1}{4} + \frac{1}{6}) =$
$2.5×3.5×0.4 =$
(2) 计算下面各题,能简便计算的请用简便方法计算。
$713÷23×28$
$8.5×99$
$9.6 - 11÷7 + \frac{1}{7}×4$
$87.58 - (7.58 - 3.8)$
$1.25×25×3.2$
$\frac{4}{5}×3.5 + 5.5×80\% + 1÷1\frac{1}{4}$
(3) 解比例和方程。
$\frac{3}{4}x + 0.2x = 9.5$
$2.5:5 = x:\frac{4}{5}$
$0.45×(x - 3.7) = 9$
答案
(1) 直接写出得数
$26×50 = 1300$
$10 - 0.86 = 9.14$
$25×0.2÷25×0.2 = 0.04$
$8÷\frac{4}{5} = 10$
$12×(\frac{1}{4} + \frac{1}{6}) = 5$
$2.5×3.5×0.4 = 3.5$
(2) 简便计算
$713÷23×28$
$=31×28$
$=868$
$8.5×99$
$=8.5×(100-1)$
$=8.5×100 - 8.5×1$
$=850 - 8.5$
$=841.5$
$9.6 - 11÷7 + \frac{1}{7}×4$
$=9.6 - \frac{11}{7} + \frac{4}{7}$
$=9.6 - (\frac{11}{7} - \frac{4}{7})$
$=9.6 - 1$
$=8.6$
$87.58 - (7.58 - 3.8)$
$=87.58 - 7.58 + 3.8$
$=80 + 3.8$
$=83.8$
$1.25×25×3.2$
$=1.25×25×(0.8×4)$
$=(1.25×0.8)×(25×4)$
$=1×100$
$=100$
$\frac{4}{5}×3.5 + 5.5×80\% + 1÷1\frac{1}{4}$
$=0.8×3.5 + 5.5×0.8 + 0.8×1$
$=0.8×(3.5 + 5.5 + 1)$
$=0.8×10$
$=8$
(3) 解比例和方程
$\frac{3}{4}x + 0.2x = 9.5$
解:$0.75x + 0.2x = 9.5$
$0.95x = 9.5$
$x = 9.5÷0.95$
$x = 10$
$2.5:5 = x:\frac{4}{5}$
解:$5x = 2.5×\frac{4}{5}$
$5x = 2$
$x = 2÷5$
$x = 0.4$
$0.45×(x - 3.7) = 9$
解:$x - 3.7 = 9÷0.45$
$x - 3.7 = 20$
$x = 20 + 3.7$
$x = 23.7$
$26×50 = 1300$
$10 - 0.86 = 9.14$
$25×0.2÷25×0.2 = 0.04$
$8÷\frac{4}{5} = 10$
$12×(\frac{1}{4} + \frac{1}{6}) = 5$
$2.5×3.5×0.4 = 3.5$
(2) 简便计算
$713÷23×28$
$=31×28$
$=868$
$8.5×99$
$=8.5×(100-1)$
$=8.5×100 - 8.5×1$
$=850 - 8.5$
$=841.5$
$9.6 - 11÷7 + \frac{1}{7}×4$
$=9.6 - \frac{11}{7} + \frac{4}{7}$
$=9.6 - (\frac{11}{7} - \frac{4}{7})$
$=9.6 - 1$
$=8.6$
$87.58 - (7.58 - 3.8)$
$=87.58 - 7.58 + 3.8$
$=80 + 3.8$
$=83.8$
$1.25×25×3.2$
$=1.25×25×(0.8×4)$
$=(1.25×0.8)×(25×4)$
$=1×100$
$=100$
$\frac{4}{5}×3.5 + 5.5×80\% + 1÷1\frac{1}{4}$
$=0.8×3.5 + 5.5×0.8 + 0.8×1$
$=0.8×(3.5 + 5.5 + 1)$
$=0.8×10$
$=8$
(3) 解比例和方程
$\frac{3}{4}x + 0.2x = 9.5$
解:$0.75x + 0.2x = 9.5$
$0.95x = 9.5$
$x = 9.5÷0.95$
$x = 10$
$2.5:5 = x:\frac{4}{5}$
解:$5x = 2.5×\frac{4}{5}$
$5x = 2$
$x = 2÷5$
$x = 0.4$
$0.45×(x - 3.7) = 9$
解:$x - 3.7 = 9÷0.45$
$x - 3.7 = 20$
$x = 20 + 3.7$
$x = 23.7$
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