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Complete the standard multiplication algorithm for [tex]$52 \times 0.27$[/tex], including any "carried" or regrouped digits, if necessary.

Sagot :

GinnyAnsweridn
Sure, let's complete the standard multiplication algorithm for the given numbers [tex]$52 \times 0.27$[/tex].

1. Rewrite the problem:
[tex]\[ 52 \times 0.27 \][/tex]

2. Ignore the decimal point temporarily and multiply 52 by 27.

Write 52 and 27 in long multiplication format:

```
52
× 27
```

3. Multiply 52 by 7 (the units digit of 27):

```
52
× 7
-----
364 (Since 52 7 = 364)
```

4. Multiply 52 by 20 (the tens digit of 27, shifted one place to the left):

```
52
×20
-----
1040 (Since 52 20 = 1040)
```

5. Add the two results to get the combined result:

```
364
+1040
------
1404
```

6. Adjust for the decimal point. Since 0.27 has two decimal places, we need to place the decimal point two places from the right in the product:

```
1404 → 14.04
```

The final result of multiplying 52 by 0.27 is:

[tex]\[ 14.04 \][/tex]

So, by following the standard multiplication algorithm, the product of [tex]$52 \times 0.27$[/tex] is 14.04.
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