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Number systemsConverting decimals and fractionsMixed operations on decimals and fractionsFour operations on decimals and fractionsLaws of operationsMixed operations with integers
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Worked solution
(1)
1. 计算两个有理数的和
Answer
100
(2)
1. 将分数与小数进行统一转化并简便计算
将带分数 转化为小数 ,原式可化为:
2. 利用加法交换律和结合律计算出最终结果
Answer
\frac{3}{2}
(3)
1. 确定积的符号,并将除法转化为乘法
两个负数相乘除,结果为正数。将除以 转化为乘以 :
2. 进行分数乘法计算并约分
Answer
\frac{4}{27}
(4)
1. 先计算除法运算
2. 计算加法运算得到最终结果
Answer
-10
(5)
1. 计算乘方、括号内的加法以及将除法转化为乘法
, 且 ,除以 转化为乘以 :
2. 进行乘法计算并最后求和
Answer
-\frac{7}{8}
(6)
1. 运用乘法分配律展开去括号
2. 计算乘法并进行有理数的加减混合运算
Answer
7
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