Find the product(i) `30674xx9` (ii) `4578xx99` (iii) `23756xx999`

Answer

To find the products of the given numbers, we will use the Distributive Law of Multiplication. Let's solve each part step by step.

### Part (i): Find the product of `30674 x 9`

1. **Rewrite 9**: We can express 9 as \(10 - 1\).
\[ 30674 \times 9 = 30674 \times (10 - 1) \]

2. **Apply the Distributive Law**:
\[ 30674 \times 9 = 30674 \times 10 - 30674 \times 1 \]

3. **Calculate each part**:
- \(30674 \times 10 = 306740\)
- \(30674 \times 1 = 30674\)

4. **Subtract the results**:
\[ 306740 - 30674 = 276066 \]

**Final Answer for Part (i)**: \(276066\)

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### Part (ii): Find the product of `4578 x 99`

1. **Rewrite 99**: We can express 99 as \(100 - 1\).
\[ 4578 \times 99 = 4578 \times (100 - 1) \]

2. **Apply the Distributive Law**:
\[ 4578 \times 99 = 4578 \times 100 - 4578 \times 1 \]

3. **Calculate each part**:
- \(4578 \times 100 = 457800\)
- \(4578 \times 1 = 4578\)

4. **Subtract the results**:
\[ 457800 - 4578 = 453222 \]

**Final Answer for Part (ii)**: \(453222\)

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### Part (iii): Find the product of `23756 x 999`

1. **Rewrite 999**: We can express 999 as \(1000 - 1\).
\[ 23756 \times 999 = 23756 \times (1000 - 1) \]

2. **Apply the Distributive Law**:
\[ 23756 \times 999 = 23756 \times 1000 - 23756 \times 1 \]

3. **Calculate each part**:
- \(23756 \times 1000 = 23756000\)
- \(23756 \times 1 = 23756\)

4. **Subtract the results**:
\[ 23756000 - 23756 = 23732244 \]

**Final Answer for Part (iii)**: \(23732244\)

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### Summary of Answers:
- (i) \(276066\)
- (ii) \(453222\)
- (iii) \(23732244\)

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