Final answer:
The value of the expression 1.5(-2.4+(-5.3)) is -11.55. This is calculated by first adding -2.4 and -5.3 to get -7.7 and then multiplying by 1.5.
Step-by-step explanation:
To ascertain the value of the expression 1.5(−2.4 + (−5.3)), a systematic approach involves simplifying the expression within the parentheses and subsequently applying the multiplication.
The innermost parentheses are addressed first: -2.4 + (-5.3) results in -2.4 - 5.3, yielding -7.7. The next step involves multiplying this result by 1.5, leading to a final value of -11.55. In conclusion, the value of the given expression is determined to be -11.55. This step-by-step process ensures a clear understanding of how each operation contributes to the final outcome.