Question

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 1

 to get the numbers in step 3

multiply -1.6 by 3

then multiply -1.6 by 0.1

 and add them together

answer is D) (–1.6)(3) + (–1.6)(0.1)

Answer 2

Answer:

In Step 2 the expression is Option 4 is correct.                                    

Step-by-step explanation:

Given : Sydney applied the steps below to find the product of $(3.1)(-1.6)$.

To find : Which expression correctly fills in the blank in Step 2?

Solution :

Step 1 : Commutative property applied, $ab=ba$

$(3.1)(-1.6)=(-1.6)(3.1)$

Step 2 - Apply distributive property $a(b+c)=ab+ac$ by re-write 3.1=3+0.1

$(3.1)(-1.6)=(-1.6)(3+0.1)$

$(3.1)(-1.6)=(-1.6)(3)+(-1.6)(0.1)$

Step 3 - Solve the multiple,

$(3.1)(-1.6)=(-4.8)+(-0.16)$

Step 4 - Add the terms,

$(3.1)(-1.6)=-4.96$

Therefore, In Step 2 the expression is Option 4 is correct.