Question

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?

Answer 1

The answer you want is going to be 164+3.28

Answer 2

Step 3 is
`=164 + 3.28`

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
`(-10.2)(-16.4)`

Step 1 : Write the expression,

`(-10.2)(-16.4) = (-16.4)(-10.2)`

Step 2: Distribute 10.2 into two parts 10+0.2

`=(-16.4)(-10) + (-16.4)(-0.2)`

Step 3: Simplify the multiplication,

`=164 + 3.28`

Step 4: Add the terms

`=167.28`

Therefore, Step 3 is
`=164 + 3.28`