Find the best tutors and institutes for Tuition

Find Best Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Three Digit Multiplication Shortcut

16/01/2018 0 0

1) 123*456 


1 2 3            

4 5 6  

  • Multiply column III. Here, it's 18. Write 8 and carry over 1.  Result=>__8
  • Cross multiply column II and III diagonally. ie 2*6 and 3*5. We get 12 and 15 respectively. Add both, you'll get 27. Add the carry over from previous step. So 28 is what we get. Write 8 and carry over 2. Result=>__88
  • Now we need to cross multiply I and III diagonally like the previous step and multiply column II. Add up all the three numbers. 1*6+3*4+2*5=28+2(carry over from previous step)=30. Write 0 and carry over 3. Result=>__088
  • Now cross multiply I and II and add the resultant numbers. 1*5+2*4=13+3(carry)=16. Write 6 and carry over 1. Result=>__6088
  • Finally, multiply column I. 1*4=4+1(carry)=5 Result=>56088


2) 123*456

I came up with this one myself. lol I find this easier than the vedic math shortcut above.

hundreds tens ones

100           20          3

400           50           6

  • I've just written the place value of each digit.
  • Take 100 and multiply with all three places of the second number. (100*400=40000)+(100*50=5000)+(100*6=600)=45600
  • Take 20 and repeat. (20*400=8000)+(20*50=1000)+(20*6=120)=9120
  • Take 3 and repeat. (3*400=1200)+(3*50=150)+(3*6=18)=1368
  • Add all three results=> 45600+9120+1368=56088.
0 Dislike
Follow 2

Please Enter a comment


Other Lessons for You

What is Sociology?
Sociology is a critical social science concerned with the study of society and human behaviour and relationships. Auguste Comte was the first to develop the concept of Sociology....

Shreya C. | 06 Oct

0 0

Written Discussion on Physics Chapter : Atoms and Nuclei
This Demo lesson includes the introduction to one of the highest weightage chapters of Physics inboards ATOMS Starting from Rutherford's nuclear model of an atom to the alpha particle trajectory, physics...

Surbhi | 22 Sep

0 0

Brief Introduction About Cast Iron
CAST IRON: Cast iron has iron and carbon as there main constituent. Carbon content in cast iron varies from 2.1% to 6,67%, but for practical application purpose, the percentage of carbon in cast iron is...

Ratan Kudache | 21 Sep

0 0

Difference Between Resistance and Resistivity
Here I am going to discuss resistance and resistivity. Resistivity: Resistivity is nothing but a specific natural resistance of a material. Typical means for a particular material i.e if we compare copper...

Ratan Kudache | 21 Sep

0 0

COMPRESSOR: It is a device used to increase the pressure of a compressible fluids like gas. PUMP: It is a device used to increase the pressure of a incompessible fluids like water. FLUID: It is a substance...

Ratan Kudache | 18 Sep

0 0

Looking for Tuition Classes?

Find best tutors for Tuition Classes by posting a requirement.

  • Post a learning requirement
  • Get customized responses
  • Compare and select the best

Looking for Tuition Classes?

Find best Tuition Classes in your locality on UrbanPro

Post your learning requirement is India's largest network of most trusted tutors and institutes. Over 25 lakh students rely on, to fulfill their learning requirements across 1,000+ categories. Using, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 6.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more