Question

each expression.

1. $0.2(y + 2)$

$=\square y + \square (2)$
$=\square + \square$

Explanation:

Step1: Apply distributive property

To expand \(0.2(y + 2)\), we use the distributive property \(a(b + c)=ab+ac\). Here \(a = 0.2\), \(b=y\) and \(c = 2\). So we get \(0.2\times y+0.2\times(2)\)

Step2: Calculate the products

Calculate \(0.2\times y = 0.2y\) and \(0.2\times2=0.4\)

Answer:

First blank: \(0.2\), Second blank: \(0.2\), Third blank: \(0.2y\), Fourth blank: \(0.4\)

So the filled expressions are:
\(0.2(y + 2)=0.2y + 0.2(2)=0.2y+0.4\)