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?

Answer 1

$\red{ Product \: of \: (3.1) ( -1.6)}$

Step 1 :

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

Step 2:

$\green { (-1.6)( 3 + 0.1) = (-1.6)\times 3 + (-1.6)\times 0.1}$

$\blue{ ( By \: Distributive \: Property ) }$

Step 3:

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

Step 4:

$= - 4.96$

Therefore.,

$\red{ Required \: Step \: 2 : }$

$\green { (-1.6)( 3 + 0.1) = (-1.6)\times 3 + (-1.6)\times 0.1}$

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Answer 2

Answer:

(3.1)(-1.6) = (-1.6)(3.1).

=> (-1.6)(3 + 0.3) = (-1.6) × 3 + (-1.6) × 0.1.

By Distributive Property, we get,

=> (-4.8) + (-0.16).

=> (-1.6)(3 + 0.3) = (-1.6) × 3 + (-1.6) × 0.1.