(100+10)÷(10-5)= 100-(10+10)÷5= 100÷10+10÷5= 100-(10÷10+5)= A.12 B.22 C.94 D.96.

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Worked solution

1. 计算第一个算式 $(100+10) \div (10-5)$ 的值并进行选项匹配

首先分别计算两个括号内的运算:
100+10=110100 + 10 = 110
10−5=510 - 5 = 5
然后进行除法运算:
110÷5=22110 \div 5 = 22
对应选项 B。

2. 计算第二个算式 $100 - (10+10) \div 5$ 的值并进行选项匹配

首先计算括号内的加法运算:
10+10=2010 + 10 = 20
然后计算除法运算:
20÷5=420 \div 5 = 4
最后计算减法运算:
100−4=96100 - 4 = 96
对应选项 D。

3. 计算第三个算式 $100 \div 10 + 10 \div 5$ 的值并进行选项匹配

根据先乘除后加减的运算顺序,分别计算除法:
100÷10=10100 \div 10 = 10
10÷5=210 \div 5 = 2
最后进行加法运算:
10+2=1210 + 2 = 12
对应选项 A。

4. 计算第四个算式 $100 - (10 \div 10 + 5)$ 的值并进行选项匹配

首先计算括号内的除法运算:
10÷10=110 \div 10 = 1
接着计算括号内的加法运算:
1+5=61 + 5 = 6
最后计算减法运算:
100−6=94100 - 6 = 94
对应选项 C。

Answer

B, D, A, C

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