Find the product :
`5.64 xx0.08`

Answer

To find the product of 5.64 and 0.08, we can follow these steps:

### Step 1: Ignore the decimal points
First, we will ignore the decimal points in both numbers and multiply them as if they were whole numbers. So, we will multiply 564 by 8.

### Step 2: Multiply the whole numbers
Now, let's perform the multiplication:
- 8 multiplied by 4 equals 32. Write down 2 and carry over 3.
- 8 multiplied by 6 equals 48. Adding the carry over (3) gives us 51. Write down 1 and carry over 5.
- 8 multiplied by 5 equals 40. Adding the carry over (5) gives us 45.

So, the result of multiplying 564 by 8 is 4512.

### Step 3: Count the decimal places
Next, we need to determine how many decimal places are in the original numbers:
- In 5.64, there are 2 decimal places.
- In 0.08, there is 1 decimal place.

Adding these together gives us a total of 2 + 1 = 3 decimal places.

### Step 4: Place the decimal point
Now, we take our product (4512) and place the decimal point. Since we need 3 decimal places, we count from the right:
- Starting from the right, we place the decimal point after 3 digits: 4.512.

### Final Answer
Thus, the product of 5.64 and 0.08 is **0.512**.

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