Question

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

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 we get \( 3.6\times t+3.6\times5 \).

Step2: Calculate the products

First, \( 3.6\times t = 3.6t \). Second, \( 3.6\times5=18 \).

Step3: Combine the terms

After calculating the products, we combine the terms to get the expanded form. So \( 3.6t + 18 \).

Answer:

The expanded form of \( 3.6(t + 5) \) is \( 3.6t + 18 \).