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Work out [tex]$37.6 \times 4.9$[/tex].

Answer :

To work out the multiplication of 37.6 and 4.9, you can follow these steps:

1. Align the Numbers: Start by writing the numbers one below the other, ensuring the decimal points are aligned:
```
37.6
× 4.9
```

2. Remove the Decimals Temporarily: Multiply the numbers as if they were whole numbers. So, treat 37.6 as 376 and 4.9 as 49.

3. Multiply: Perform the multiplication:
- Multiply 376 by 9:
```
376
× 9
------
3384
```

- Multiply 376 by 4 (which represents 40 here):
```
376
× 4
------
1504
```

- Since it represents 40, shift the second product one place to the left:
```
15040
```

4. Add the Two Results: Add the two products obtained from the multiplication steps.
```
3384
+15040
------
18416
```

5. Reinsert the Decimal:
- Count the total number of decimal places in the original numbers. Here, there’s one decimal place in 37.6 and one in 4.9, making a total of two decimal places.
- Place the decimal point in the result (18416) to reflect this, moving two places from the right:
```
184.16
```

Thus, the multiplication of 37.6 and 4.9 results in 184.24.

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