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Yuuma applied the steps below to find the product of (–10.2)(–16.4). Step 1: (–10.2)(–16.4) = (–16.4)(–10.2) Step 2: = (–16.4)(–10) + (–16.4)(–0.2) Step 3: = ____________ Step 4: = 167.28 Which expression correctly fills in the blank in Step 3?

Respuesta :

GinxFrostbite

The answer you want is going to be 164+3.28

Answer:

Step 3 is [tex]=164 + 3.28[/tex]            

Step-by-step explanation:

Given : Yuuma applied the steps below to find the product of (–10.2)(–16.4).

To find : Which expression correctly fills in the blank in Step 3?

Solution :

The given expression is  [tex](-10.2)(-16.4)[/tex]

Step 1 : Write the expression,

[tex](-10.2)(-16.4) = (-16.4)(-10.2)[/tex]

Step 2: Distribute 10.2 into two parts 10+0.2

[tex]=(-16.4)(-10) + (-16.4)(-0.2)[/tex]

Step 3: Simplify the multiplication,

[tex]=164 + 3.28[/tex]

Step 4: Add the terms

[tex]=167.28[/tex]

Therefore, Step 3 is [tex]=164 + 3.28[/tex]

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