Question

expand the expression.
0.2(y + 2)
0.2(y + 2) = 0.2 y + 0.4 (2)
= 0.4
(type integers or decimals for any numbers in the e
thats incorrect.
correct answers:
0.2, 0.2, 0.2y + 0.4
your answers:
0.2, 0.4, 0.4
try again
ok

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(0.2(y + 2)\), we let \(a = 0.2\), \(b=y\), and \(c = 2\). So we multiply \(0.2\) by \(y\) and \(0.2\) by \(2\) separately.
\(0.2(y + 2)=0.2\times y+0.2\times2\)

Step2: Calculate the products

First, \(0.2\times y = 0.2y\). Second, \(0.2\times2=0.4\). So combining these results, we get \(0.2y + 0.4\).

Answer:

\(0.2y + 0.4\)