Question

Сформулируйте сочетательное свойство умножения и найдите с его помощью значения выражений: а) 4*(5*(-0,3)); б) 0,2*(5*(-2целых 5\6)). ПОЖАЛУЙСТА! заранее спасибо

Answer 1

РЕШЕНИЕ
a*(b*c) = (a*b)*c= (a*c)*b
а)   4*(5*(-0,3) = (4*5)*(-0,3) = -20*0,3 = -6
б)  0,2*(5*(-2 5/6) = (0,2*5)*(-2 5/6) = - 2 5/6*1

Answer 2

Sochetatelnoe svoistvo umnozheniya (Associative Property of Multiplication)

Sochetatelnoe svoistvo umnozheniya (Associative Property of Multiplication) states that the way in which numbers are grouped in a multiplication expression does not change the product. In other words, when multiplying three or more numbers, the product is the same regardless of how the numbers are grouped.

Calculating the Expressions

а) 4*(5*(-0.3)) - First, we calculate the expression inside the inner parentheses: 5*(-0.3) = -1.5 - Then, we multiply the result by 4: 4*(-1.5) = -6

The value of the expression 4*(5*(-0.3)) is -6.

б) 0.2*(5*(-2+5/6)) - First, we calculate the expression inside the inner parentheses: -2+5/6 = -2+0.8333... = -1.1666... - Then, we multiply the result by 5: 5*(-1.1666...) ≈ -5.8333... - Finally, we multiply the result by 0.2: 0.2*(-5.8333...) ≈ -1.1666...

The value of the expression 0.2*(5*(-2+5/6)) is approximately -1.1666.