Best multiplication Tricks 2023

Multiplication is a foundational math operation, and mastering these tricks can make mental math calculations quicker and more efficient.

1. The Commutative Property

The commutative property of multiplication means that changing the order of numbers being multiplied doesn’t affect the result. For example, 3 × 4 is the same as 4 × 3. This property is helpful when you want to choose the order that makes multiplication easier for you. For instance:

3 × 7 = 7 × 3 = 21

2. The Associative Property

The associative property of multiplication states that grouping numbers doesn’t affect the result. For example, (2 × 3) × 4 is the same as 2 × (3 × 4). This property can be applied to simplify complex multiplications:

(2 × 3) × 4 = 6 × 4 = 24

2 × (3 × 4) = 2 × 12 = 24

3. Zero Multiplication

When you multiply any number by zero, the result is always zero. This property simplifies calculations like:

5 × 0 = 0

4. The Identity Property

The identity property of multiplying states that any number multiplied by 1 remains unchanged. For example, 6 × 1 = 6. This is useful for finding fractions of numbers or calculating percentages:

0.2 × 1 = 0.2 (20% of a number)

5. Multiplying by Powers of 10

To multiply a number by a power of 10 (e.g., 10, 100, 1000), shift the decimal point to the right by the number of zeros in the power of 10. For example:

25 × 100 = 2500

6. Multiplying by 11

To multiply a two-digit number by 11, add the two digits together and place the sum between them. For example, to calculate 11 × 34:

(3 + 4) = 7, so the answer is 374.

7. The Distributive Property

The distributive property breaks down multiplication into smaller parts. For example, to calculate 7 × 46, you can break it down as:

(7 × 40) + (7 × 6) = 280 + 42 = 322

8. Multiplying by 9

Use the “finger trick” to multiply by 9. Extend your fingers and number them from 1 to 10. To multiply, bend the finger corresponding to the number you’re multiplying by 9. For example, to multiply 9 by 7:

Bend the seventh finger, and you’ll get 63.

9. Multiplying by 5

Multiplying by 5 is as easy as taking half of the number you’re multiplying. For example:

5 × 14 = (1/2) × 14 = 7

10. Multiplication by 25

multiply any number by 25, multiply it by 100 and then divide by 4. For instance:

25 × 48 = (100 × 48) ÷ 4 = 4800 ÷ 4 = 1200

11. Squaring Numbers Ending in 5

To square a number ending in 5, take the number before the 5, multiply it by itself plus 1, and append 25 to the result. For example, to square 35:

(3 × (3+1)) & append 25 = 1225

12. Multiplication Two-Digit Numbers

When multiplying two two-digit numbers, you can use the grid method or the lattice method to break the multiply into smaller steps. For example, to multiply 24 by 37 using the lattice method.                                                               2 4
× 3 7
————-
1 4
8 0
+ 2 4
————-
8 8 8

13. Estimation

Estimation can be a valuable tool in multiplication. Round the numbers to the nearest convenient values, perform the calculation, and then adjust the result based on the rounding. For instance, to estimate 17 × 38:

Round to 20 × 40 = 800, then adjust for the rounding: 800 – (3 × 2) = 800 – 6 = 794.

14. Break Down Large Numbers

When multiplying large numbers, break them down into smaller parts. Multiply parts of the numbers separately and then combine the results. For example, to calculate 47 × 63:

47 × 60 = 2820 47 × 3 = 141 2820 + 141 = 2961

15. Practice and Memorization

Ultimately, the most effective trick for mastering multiply is practice and memorization. Regularly practicing multiplication tables and these tricks will improve your mental math skills and speed.

In conclusion, these multiplying tricks and examples can significantly enhance your mathematical abilities. Whether you’re a student striving to improve your math skills or an adult looking to sharpen your mental math capabilities, these techniques will help you solve multiplication problems efficiently and accurately. Keep practicing and exploring various methods to become a multiplication master.

1. Multiplicand: This is the number you want to multiply.
2. Multiplier: This is the number by which you want to multiply the multiplicand.

The result of a multiplication operation is called the product.

Mathematically, multiplication is represented using various symbols, including the “×” symbol (pronounced “times”) or simply writing the numbers next to each other with no operator between them. For example:

• 3 × 4 = 12 (Here, 3 is the multiplicand, 4 is the multiplier, and 12 is the product.)
• 5 * 7 = 35 (Using an asterisk symbol to represent multiplication.)

Multiplication is essentially a shorthand way of performing repeated addition. For example, when you multiply 3 by 4 (3 × 4), it’s the same as adding 3 four times:

3 × 4 = 3 + 3 + 3 + 3 = 12

Multiplication has several important properties, including the commutative property (changing the order of numbers doesn’t change the result), the associative property (changing the grouping of numbers doesn’t change the result), and the identity property (multiplying a number by 1 doesn’t change the number). These properties make multiplication a fundamental operation in mathematics and are used in various mathematical concepts and problem-solving situations.