Maths Multiplication Shortcut: Multiplication of two 3-Digit Numbers

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Maths Multiplication Shortcut: Multiplication of two 3-digit Numbers
Tips and Tricks to multiply two 3-digit numbers abc and xyz:

Step 1: Multiply and write the rightmost digits(cz) of the two given numbers down.

Step 2:  Now, do cross-multiplication(bz and cy) and add the products
(bz + cy) and write down to the left of cz.

Step 3:  Next, do cross-multiplication(az , by and cx) and add the products(az + by+ cx) and write down to the left of the previous result.

Step 4:  Next, do cross-multiplication(ay and bx) and add the products
(ay + bx) and write down to the left of the previous result.

Step 5: Finally, multiply the leftmost digits(ax) of the two given numbers  and write down to the left of previous result.  (If necessary, add any final carry).

Here is the quick formula:

multiplication of two 3 digit numbers

 

 

 

 

Note: If necessary, add any final carry

Example 1: Find 123 × 121

multiplication of two 3 digit numbers

 

Example 2: Find 263 × 152
multiplication of two 3 digit numbers
Example 3: Find 252  × 314

multiplication of two 3 digit numbers

Now, try the following questions:

  • 148 × 163
  • 635 × 195
  • 216 × 143

 

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