Step 1 :The down payment is 20% of the total cost of the house. To find this, we need to multiply the total cost of the house by 20% (or 0.20 in decimal form).
Step 2 :Let's denote the total cost of the house as \(total\_cost\) and the down payment percent as \(down\_payment\_percent\).
Step 3 :\(total\_cost = 160000\)
Step 4 :\(down\_payment\_percent = 0.2\)
Step 5 :We can find the down payment by multiplying the total cost by the down payment percent.
Step 6 :\(down\_payment = total\_cost \times down\_payment\_percent\)
Step 7 :Substituting the given values, we get \(down\_payment = 160000 \times 0.2 = 32000.0\)
Step 8 :Final Answer: The down payment is \(\boxed{32000}\)