Question

expand the expression. 0.2(y + 2) 0.2(y + 2) = \square y + \square (2) = \square (type integers or decimals for any numbers in the expressions. simplify your answers.)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab+ac \). For \( 0.2(y + 2) \), we distribute \( 0.2 \) to both \( y \) and \( 2 \). So, \( 0.2(y + 2)=0.2\times y+0.2\times(2) \).

Step2: Calculate the second term

Now, calculate \( 0.2\times2 = 0.4 \). So the expanded form is \( 0.2y + 0.4 \).

Answer:

First box: \( 0.2 \), Second box: \( 0.2 \), Third box: \( 0.2y + 0.4 \) (or filling the blanks as \( 0.2(y + 2)=\boldsymbol{0.2}y+\boldsymbol{0.2}(2)=\boldsymbol{0.2y + 0.4} \))