In this article, we will be looking at various tricks to calculate the

**Step 1**:

Add the first number to the last digit of the second number:

14 + 7 = 21

**Step 2**: Multiply the result by 10:

21 x 10 =210

**Step 3**: Multiply the last digits of both numbers together:

4 x 7 = 28

**Step 3**: Add results of Step 2 & Step 3

210 + 28 = **238**

**Example 2: Find 16×19?**

**Step 1**:

Add the first number to the last digit of the second number:

16 + 9 = 25

**Step 2**: Multiply the result by 10:

25 x 10 = 250

**Step 3**: Multiply the last digits of both numbers together:

6 x 9 = 54

Step 4: Add results of Step 2 & Step 3

250 + 54 = **304**

Suppose we want to calculate the product of two numbers, i.e. **MN × PQ**. Then

**Step 1**: Multiply N and Q.

**Step 2**: Multiply M and M + 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:

**For example**,

- 56 × 54 : Here,
**N**= 6 and**Q**= 4. This means**N + Q**= 6 + 4 = 10. Also,**M**= 5 and**P**= 5.

This means M = P = 5. So we can apply this TRICK here. - 41 × 49 : Here,
**N**= 1 and**Q**= 9.

This means**N + Q**= 1 + 9 = 10. Also,**M**= 4 and**P**= 4.

This means**M**=**P**= 4. So we can apply this TRICK here. - 32 × 37 : Here,
**N**= 2 and**Q**= 7.

This means**N + Q**= 7 + 2 = 9 6= 10. So we CANNOT apply this TRICK here. - 82 × 98 : Here,
**N**= 2 and**Q**= 8.

This means**N + Q**= 2 + 8 = 10. But,**M**= 8 and**P**= 9.

This means**M**\(\neq\)**P**. So we CANNOT apply this TRICK here.

Let’s see some examples to understand this method.

- 56×54 =?: From
**Step 1**we have, 6×4 = 24 and from**Step 2**we have, 5×(5+1) = 5×(6) = 30. So the answer will be 3024. - 78×72 =?: From
**Step 1**we have, 8×2 = 16 and from**Step 2**we have, 7×(7+1) = 7×(8) = 56. So the answer will be 5616.

We will understand this method using examples.

**Example 1**: 77 × 78 =?

**Step 1**:

- Multiply units digit (7

**Step 2**:

- Multiply the similar color digits as shown

**Step 3**:

- Multiply the tens digit of the numbers again and add the carry from previous Step, if any. In this case

**Step 4**:

- Arrange the products obtained from previous Steps from RHS to LHS. So our answer will be 6006.

**Example 2**: 36 × 54 =?

**Step 1**:

- Multiply units digit (3

**Step 2**:

- Multiply the similar color digits as shown

**Step 3**:

- Multiply the tens digit of the numbers again and add the carry from previous Step, if any. In this case

**Step 4**:

- Arrange the products obtained from previous Steps from RHS to LHS. So our answer will be 1944.

2. Find the product of 31 × 39 .

3. Find the product of 99 × 55 .

1. 1568

2. 1209

3. 5445