规定一种运算"*"的运算法则:a*b=(a+1)(b+1).(1)计算:(-3)*(-2)与(-2)*(-3),此运算满足交换律么?(2)计算:「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」,此运算满足结合律么?
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![规定一种运算"*"的运算法则:a*b=(a+1)(b+1).(1)计算:(-3)*(-2)与(-2)*(-3),此运算满足交换律么?(2)计算:「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」,此运算满足结合律么?](/uploads/image/z/7100119-55-9.jpg?t=%E8%A7%84%E5%AE%9A%E4%B8%80%E7%A7%8D%E8%BF%90%E7%AE%97%EF%BC%82%2A%EF%BC%82%E7%9A%84%E8%BF%90%E7%AE%97%E6%B3%95%E5%88%99%3Aa%2Ab%3D%28a%2B1%29%28b%2B1%29.%EF%BC%881%EF%BC%89%E8%AE%A1%E7%AE%97%EF%BC%9A%EF%BC%88-3%EF%BC%89%2A%EF%BC%88-2%EF%BC%89%E4%B8%8E%EF%BC%88-2%EF%BC%89%2A%EF%BC%88-3%EF%BC%89%2C%E6%AD%A4%E8%BF%90%E7%AE%97%E6%BB%A1%E8%B6%B3%E4%BA%A4%E6%8D%A2%E5%BE%8B%E4%B9%88%3F%EF%BC%882%EF%BC%89%E8%AE%A1%E7%AE%97%EF%BC%9A%E3%80%8C%EF%BC%88-4%EF%BC%89%2A%EF%BC%88-3%EF%BC%89%E3%80%8D%2A%EF%BC%88-2%EF%BC%89%E4%B8%8E%EF%BC%88-4%EF%BC%89%2A%E3%80%8C%EF%BC%88-3%EF%BC%89%2A%EF%BC%88-2%EF%BC%89%E3%80%8D%2C%E6%AD%A4%E8%BF%90%E7%AE%97%E6%BB%A1%E8%B6%B3%E7%BB%93%E5%90%88%E5%BE%8B%E4%B9%88%3F)
规定一种运算"*"的运算法则:a*b=(a+1)(b+1).(1)计算:(-3)*(-2)与(-2)*(-3),此运算满足交换律么?(2)计算:「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」,此运算满足结合律么?
规定一种运算"*"的运算法则:a*b=(a+1)(b+1).
(1)计算:(-3)*(-2)与(-2)*(-3),此运算满足交换律么?
(2)计算:「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」,此运算满足结合律么?
我一看见数学题就头大,帮帮忙
规定一种运算"*"的运算法则:a*b=(a+1)(b+1).(1)计算:(-3)*(-2)与(-2)*(-3),此运算满足交换律么?(2)计算:「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」,此运算满足结合律么?
1、(-3)*(-2)=(-3+1)(-2+1)=2
(-2)*(-3)=(-2+1)(-3+1)=2
(-3)*(-2)与(-2)*(-3)值相等,所以此运算满足交换律
2、「(-4)*(-3)」*(-2)
=「(-4+1)*(-3+1)」*(-2)
=6*(-2)
=(6+1)(-2+1)
=-7
「(--3)*(-2)」*(--4)
=「(-3+1)*(-2+1)」*(-4)
=2*(-4)
=(2+1)(-4+1)
=-9
「(-4)*(-3)」*(-2)与(-4)*「(-3)*(-2)」值不相等,所以此运算不满足结合律
(1)(-3)*(-2)=(-3+1)(-2+1)=2;
(-2)*(-3)=(-2+1)(-3+1)=2;
满足交换律
(2)[(-4)*(-3)]*(-2)=[(-4+1)(-3+1)]*(-2)=(6+1)(-2+1)=-7;
(-4)*[(-3)*(-2)]=(-4)*[(-3+1)(-2+1)]=(-4)*(2)=(-4+1)(2+1)=-9;
所以不满足交换律
(1) (-3)*(-2)=2
(-2)*(-3)=4
因为2不等于4 所以 不满足交换律
(2) 「(-4)*(-3)」*(-2)=6*(-2)=-7
(-4)*「(-3)*(-2)」=(-4)*2=-9
因为-7不等于-9 所以 不满足结合律
希望楼主采纳