Answer :

To solve the multiplication, we begin with the expression:

[tex]$$
215 \times 0.71
$$[/tex]

Step 1: Break Down the Multiplication

We can split the multiplication into two parts:

1. Multiply [tex]$215$[/tex] by [tex]$0.70$[/tex], and
2. Multiply [tex]$215$[/tex] by [tex]$0.01$[/tex].

Step 2: Calculate Each Part

1. For [tex]$215 \times 0.70$[/tex]:

Since [tex]$0.70 = \frac{7}{10}$[/tex], we have

[tex]$$
215 \times 0.70 = 215 \times \frac{7}{10} = \frac{215 \times 7}{10}.
$$[/tex]

Multiplying [tex]$215$[/tex] by [tex]$7$[/tex] gives:

[tex]$$
215 \times 7 = 1505,
$$[/tex]

so

[tex]$$
\frac{1505}{10} = 150.5.
$$[/tex]

2. For [tex]$215 \times 0.01$[/tex]:

Since [tex]$0.01 = \frac{1}{100}$[/tex], we have

[tex]$$
215 \times 0.01 = \frac{215}{100} = 2.15.
$$[/tex]

Step 3: Sum the Two Parts

Now, add the two results together:

[tex]$$
150.5 + 2.15 = 152.65.
$$[/tex]

Final Answer

The product is:

[tex]$$
215 \times 0.71 = 152.65.
$$[/tex]

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