Question

Find each of the following products.
$816{\text{ }} \times {\text{ 745}}$

Answer 1

Hint: Multiplication of two 3 digit numbers can be difficult, so to simplify we split one number into a sum of two numbers, multiply them with the other number and add the result.

Complete step-by-step answer:
Given Data, $816{\text{ }} \times {\text{ 745}}$
816 can be expressed as 816 = 800 + 16
⟹$816{\text{ }} \times {\text{ 745}}$= (800 + 16) × 745
Now we multiply 745 with 800 and 16 individually and then add the result.
$\Rightarrow 816{\text{ }} \times {\text{ 745}} = \left( {800 \times 745} \right) + \left( {16 \times 745} \right)$
⟹$816{\text{ }} \times {\text{ 745}}$= 596000 + 11920
⟹$816{\text{ }} \times {\text{ 745}}$= 607920.

Note: In order to solve this type of question the key is to express one of the numbers in such a way that the multiplication becomes simpler. Generally a 3 digit number is written as the sum of hundreds place and tens and units place. Either of the two numbers can be re-written.