Question

what is the expanded form of the expression 3.6(t + 5)?
3.6(t + 5)
= 3.6 t + 3.6t · 5
= 3.6t + 18
the expanded expression is 3.6t+18.

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(3.6(t + 5)\), we distribute \(3.6\) to both \(t\) and \(5\).
So, \(3.6\times t+3.6\times5\)

Step2: Calculate each term

First term: \(3.6\times t = 3.6t\)
Second term: \(3.6\times5=18\)

Step3: Combine the terms

Combine the two terms we got from the distributive property: \(3.6t + 18\)

Answer:

\(3.6t + 18\)