Find the value of the following .
(i) 19.72 `xx` 4 (ii) 0.0745 `xx` 10 (iii) 3.52 `xx` 14

Answer

Let's solve the given problems step by step.

### (i) Find the value of 19.72 x 4

**Step 1:** Write down the multiplication.
- We need to multiply 19.72 by 4.

**Step 2:** Multiply each digit of 19.72 by 4.
- 4 x 2 = 8
- 4 x 7 = 28 (write down 8 and carry over 2)
- 4 x 9 = 36 + 2 (carry) = 38 (write down 8 and carry over 3)
- 4 x 1 = 4 + 3 (carry) = 7

**Step 3:** Combine the results.
- The result of the multiplication is 78.88.

**Final Answer for (i):** 19.72 x 4 = 78.88

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### (ii) Find the value of 0.0745 x 10

**Step 1:** Write down the multiplication.
- We need to multiply 0.0745 by 10.

**Step 2:** Shift the decimal point.
- When multiplying by 10, we shift the decimal point one place to the right.

**Step 3:** Write down the result.
- The result is 0.745.

**Final Answer for (ii):** 0.0745 x 10 = 0.745

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### (iii) Find the value of 3.52 x 14

**Step 1:** Write down the multiplication.
- We need to multiply 3.52 by 14.

**Step 2:** Multiply each digit of 3.52 by 14.
- 4 x 2 = 8
- 4 x 5 = 20 (write down 0 and carry over 2)
- 4 x 3 = 12 + 2 (carry) = 14 (write down 4 and carry over 1)
- Now multiply by 1 (which is actually 10, so we shift one position to the left):
- 1 x 2 = 2
- 1 x 5 = 5
- 1 x 3 = 3

**Step 3:** Combine the results.
- Add the results:
- From the first multiplication (4): 8, 0, 4
- From the second multiplication (1): 2, 5, 3
- Align and add:
```
8 0 4
+ 2 5 3
---------
4 9 2 8
```

**Step 4:** Place the decimal point.
- Since there are two decimal places in 3.52, we place the decimal point before the last two digits.
- The result is 49.28.

**Final Answer for (iii):** 3.52 x 14 = 49.28

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### Summary of Answers:
1. 19.72 x 4 = 78.88
2. 0.0745 x 10 = 0.745
3. 3.52 x 14 = 49.28

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