Simplify Calculation Best Tricks 2023

Mastering Easy Multiplication Tricks: Simplify Calculation with Efficient Methods

Simplify Multiplication is a fundamental operation in mathematics that finds its application in various aspects of everyday life, from basic calculations to complex problem-solving. While memorizing multiplication tables is essential, several easy tricks and methods can significantly simplify the process of multiplication, making it quicker and more efficient. These tricks not only aid in mental math but also streamline calculations when using pen and paper. Let’s explore some of these easy multiplication tricks step by step, accompanied by illustrative examples.

1. Simplify Multiplying by Powers of 10:

Multiplying any number by powers of 10 can be effortlessly accomplished by adding zeros to the number according to the number of zeros in the power of 10. For instance:

• $25\times 100=2500$
• $39\times 1000=39000$

Explanation: When multiplying by 10, each zero in the power of 10 multiplies the number by an additional 10.

2. Simplify Multiplying by 11:

Multiplying a two-digit number by 11 can be done by adding the two digits together and placing the sum between the original digits. Let’s demonstrate this with an example:

• $23\times 11=2(2+3)3=253$

Explanation: To multiply a two-digit number by 11, add the digits together and place the sum in the middle of the original number.

3. Simplify Multiplying Numbers Close to Powers of 10:

When multiplying numbers close to powers of 10, the distributive property can be employed to simplify the calculation. For instance:

• $98\times 105=98\times (100+5)=98\times 100+98\times 5=9800+490=10290$

Explanation: Break down the number close to the power of 10 into easier-to-manage parts and then add the products together.

4. Simplify Using Doubling and Halving:

This trick involves halving one number and doubling the other to simplify multiplication. It’s especially useful for multiplying large numbers mentally. For example:

• $18\times 25=(18\times 2)\times (25÷2)=36\times 12=432$

Explanation: Divide one number by 2 and multiply the other number by 2 to simplify the calculation. Then, multiply the reduced numbers.

5. Simplify Using the Distributive Property:

Breaking down numbers into factors and using the distributive property helps simplify multiplication. For instance:

• $47\times 6=40\times 6+7\times 6=240+42=282$

Explanation: Split one number into tens and ones, making multiplication easier by dealing with smaller, manageable numbers.

Tables can help visualize and understand these tricks more clearly:

Simplify Multiplication Trick	Example	Result
Multiplying by Powers of 10	$25\times 100$	2500
Multiplying by 11	$23\times 11$	253
Numbers Close to Powers of 10	$98\times 105$	10290
Doubling and Halving	$18\times 25$	432
Using the Distributive Property	$47\times 6$	282

By utilizing these multiplication tricks, complex calculations can be simplified, mental math becomes more efficient, and the overall speed and accuracy of arithmetic operations can be greatly enhanced. Practice and familiarity with these methods can significantly boost confidence in mathematical abilities, making mathematics a more approachable and enjoyable subject.

16. Simplify Multiplying by 3:

To multiply a number by 3, triple the number. For example:

• $6\times 3=6+6+6=18$

Explanation: Add the number to itself three times to get the result.

17. Simplify Multiplying by 6:

Multiplying by 6 can be made easier by multiplying the number by 3 and then doubling it. Let’s demonstrate:

• $4\times 6=(4\times 3)\times 2=12\times 2=24$

Explanation: Triple the number and then double it for the final result.

18. Simplify Multiplying by 20:

To multiply a number by 20, multiply it by 10 and then double the result. For instance:

• $9\times 20=(9\times 10)\times 2=90\times 2=180$

Explanation: Multiply the number by 10 and then double the result to get the answer.

19. Simplify Using Skip Counting:

Encouraging skip counting for basic multiplication can be helpful. For example, counting by 2s, 5s, or 10s can make multiplication easier. For instance:

• Multiplication by 2: $4\times 2=4+4=8$
• Multiplication by 5: $6\times 5=5+5+5+5+5=30$
• Multiplication by 10: $7\times 10=7+7+7+7+7+7+7+7+7+7=70$

Explanation: Skip count the number as per the multiplier to obtain the result.

20. Simplify Multiplying by 0:

Any number multiplied by 0 results in 0. For instance:

• $10\times 0=0$
• $2\times 0=0$

Explanation: Multiplication by 0 always equals 0.

Table with examples for primary students:

Simplify Multiplication Trick	Example	Result
Multiplying by 3	$6\times 3$	18
Multiplying by 6	$4\times 6$	24
Multiplying by 20	$9\times 20$	180
Using Skip Counting	$4\times 2$	8
Multiplying by 0	$10\times 0$	0

These examples are tailored to primary students and illustrate simpler multiplication tricks using addition, skip counting, and basic arithmetic operations, aiding in a better understanding of multiplication concepts. Practice and familiarity with these tricks will make multiplication more accessible and enjoyable for young learners.

6. Multiplying by 5:

Multiplying a number by 5 can be easily done by dividing the number by 2 and then multiplying it by 10. For example:

• $17\times 5=(17÷2)\times 10=8.5\times 10=85$

Explanation: Halve the number and then multiply it by 10 to get the result.

7. Multiplying by 9:

When multiplying a number by 9, there’s a neat trick where the result follows a specific pattern. Let’s see an example:

• $24\times 9=24\times (10-1)=240-24=216$

Explanation: Multiply the number by 10 and then subtract the original number for the result.

8. Using Squaring for Numbers Close to 50:

For numbers close to 50, squaring the difference from 50 can simplify multiplication. For instance:

• 53×47=(50+3)×(50−3)=502−32=2500−9=249153×47=(50+3)×(50−3)=502−32=2500−9=2491

Explanation: Utilize the difference from 50, square it, and subtract from 50 squared to get the result.

9. Multiplying by 12:

Multiplying by 12 can be simplified by doubling the number and then multiplying by 6. Let’s demonstrate:

• $19\times 12=(19\times 2)\times 6=38\times 6=228$

Explanation: Double the number and then multiply it by 6 for the final result.

10. Multiplying by 25:

To multiply a number by 25, divide the number by 4 and then multiply by 100. For example:

• $32\times 25=(32÷4)\times 100=8\times 100=800$

Explanation: Divide the number by 4 and then multiply it by 100 to get the result.

Tables can help in visualizing and understanding these additional tricks:

Multiplication Trick	Example	Result
Multiplying by 5	$17\times 5$	85
Multiplying by 9	$24\times 9$	216
Squaring for Numbers Close to 50	$53\times 47$	2491
Multiplying by 12	$19\times 12$	228
Multiplying by 25	$32\times 25$	800

By incorporating these additional multiplication tricks into your mathematical toolkit, calculations become more straightforward and quicker. These methods not only facilitate mental math but also make arithmetic operations more manageable, fostering a deeper understanding and appreciation for the underlying mathematical concepts. Practice and familiarity with these tricks will enhance your confidence in handling various multiplication scenarios with ease and accuracy.

11. Multiplying by 4:

Multiplying a number by 4 can be simplified by doubling the number twice. For instance:

• $13\times 4=(13\times 2)\times 2=26\times 2=52$

Explanation: Double the number twice to get the result.

12. Multiplying by 7:

For multiplying a number by 7, a combination of doubling and adding can make it easier. Let’s see:

• $16\times 7=(16\times 5)+(16\times 2)=80+32=112$

Explanation: Split the number into parts that are easier to manage and then sum up the results.

13. Multiplying by 8:

Multiplying by 8 can be simplified by tripling the number and then doubling it. For example:

• $11\times 8=(11\times 3)\times 2=33\times 2=66$

Explanation: Triple the number and then double it for the final result.

14. Multiplying by 15:

To multiply a number by 15, multiply it by 10 and add half of that result. Let’s illustrate:

• 28×15=(28×10)+(28×102)=280+140=42028×15=(28×10)+(228×10​)=280+140=420

Explanation: Multiply the number by 10 and add half of that result for the final outcome.

15. Multiplying by 16:

Multiplying by 16 can be simplified by doubling the number four times. Let’s calculate:

• $9\times 16=(9\times 2)\times 2\times 2\times 2=18\times 2\times 2\times 2=36\times 4=144$

Explanation: Double the number successively four times to get the result.

Tables with additional examples for each trick:

Multiplication Trick	Example	Result
Multiplying by 4	$13\times 4$	52
Multiplying by 7	$16\times 7$	112
Multiplying by 8	$11\times 8$	66
Multiplying by 15	$28\times 15$	420
Multiplying by 16	$9\times 16$	144

These additional examples should further elucidate these multiplication tricks, making them easier to grasp and apply in various scenarios. Consistent practice with these methods will gradually enhance your mental math skills, enabling quicker and more accurate calculations in everyday situations and mathematical problem-solving.