In this article, we will be studying various tricks to calculate the Two Three-Digit Numbers Product.

Suppose, to calculate the product of two numbers, i.e. **MNO Ã— PQR**. Then

**Step 1**: Multiply **O** and **R**.

**Step 2**: Multiply **MN and MN + 1**.

**Step 3**: Arrange the products of **Step 1** and **Step 2** from RHS to LHS to get the answer.

This trick is applicable only when the following both conditions are satisfied:

**Condition 1**– First check if â€˜**O + R = 10**â€™.

**Condition 2**– Next check if **MN** and **PQ** are same digits, i.e. â€˜**MN = PQ**â€™.

For example,

**563 x 567**: Here,**O = 3**and**R = 7**. This means**O + R = 3 + 7 = 10**. Also,**MN = 56**and**PQ = 56**. This means**MN = PQ = 5**. So we can apply this TRICK here.**125 x 125**: Here,**O = 5**and**R = 5**. This means**O + R = 5 + 5 = 10**. Also,**MN = 12**and**PQ = 12**. This means**MN = PQ = 12**. So we can apply this TRICK here.**132 x 137**: Here,**O = 2**and**R = 7**. This means**O + R = 2 + 7 = 9 = 10**. So we CANNOT apply this TRICK here.**382 x 498**: Here,**O = 2**and**R = 8**. This means**O + R = 2 + 8 = 10**. But,**MN = 38**and**PQ = 49**. This means**MN Æ’= PQ**. So we CANNOT apply this TRICK here.

**Examples**:

Following are some examples to understand this method.

**106 Ã— 104 =?**: From**Step 1**we have,**6 Ã— 4 = 24**and from**Step 2**we have,**10 Ã— (10 + 1) = 10 Ã— (11) = 110**. So the answer will be**11024**.**118 Ã— 112 =?**: From**Step 1**we have,**8 Ã— 2 = 16**and from**Step 2**we have,**11 Ã— (11 + 1) = 11 Ã— (12) = 132**. So the answer will be**13216**.

We will understand this method using examples. We choose the base to be **100**.

**Example 1**:

**Find the product of 107 Ã— 102 =?**

**Step 1**: Find the difference of the numbers with respect to **100**.

**Step 2**: Add first number with the difference of the other. We get **107 + 2 = 109**.

**Step 3**: Multiply the result of **Step 2** with **100**. We get **109 Ã— 100 = 10900**.

**Step 4**: Multiply the differences obtained in **Step 1**.

We get **7 Ã— 2 = 14**.

**Step 5**: Add the results obtained in **Step 3** and **Step 4** to get the answer.

∴ The answer is **10900 + 14 = 10914**.

**Example 2**:

**Find the product of 112 Ã— 109 =?**

**Step 1**: Find the difference of the numbers with respect to **100**.

**Step 2**: Add first number with the difference of the other. We get **112 + 9 = 121**.

**Step 3**: Multiply the result of **Step 2** with **100**. We get **121 Ã— 100 = 12100**.

**Step 4**: Multiply the differences obtained in **Step 1**.

We get **12 Ã— 9 = 108**.

**Step 5**: Add the results obtained in **Step 3** and **Step 4** to get the answer.

∴ The answer is **12100 + 108 = 12208**.

**Answers**:

- 1. 15616

2. 12111

3. 18224