Sydney applied the steps below to find the product of (3.1)(–1.6).

step 1: (3.1)(–1.6) = (–1.6)(3.1)
step 2: =
step 3: = (–4.8) + (–0.16)
step 4: = –4.96

which expression correctly fills in the blank in step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1

Answer with explanation:

We have to find the product of

⇒(3.1)× (-1.6)

 Step 1:→ (3.1)(–1.6) = (–1.6)(3.1)  

Step 2: = -1.6×(3 + 0.1)=(-1.6) ×3 + (-1.6)×(0.1)→→We have used Distributive property of addition with respect to Multiplication, which is , a × (b + c)=a×b + a × c

Step 3: = (–4.8) + (–0.16)

Step 4: = –4.96

The expression which correctly fills the blank is:

  Option D: →→ (–1.6)(3) + (–1.6)(0.1)

option 1

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step-by-step explanation: