Question

simplify the expression: -0.1(2.7 - 0.7x) = \boxed{}

Explanation:

Step1: Apply the distributive property

We use the distributive property \(a(b - c)=ab - ac\), here \(a=- 0.1\), \(b = 2.7\) and \(c=0.7x\). So we have \(-0.1\times2.7-(-0.1)\times0.7x\).

Step2: Calculate each term

First, calculate \(-0.1\times2.7=- 0.27\). Then, calculate \(-(-0.1)\times0.7x = 0.07x\) (because multiplying two negative numbers gives a positive number).

Step3: Combine the terms

Combine the two terms we calculated: \(-0.27 + 0.07x\) or \(0.07x-0.27\).

Answer:

\(0.07x - 0.27\) (or \(-0.27+0.07x\))