Question

403 x 608 using distributive property

Answer 1

Answer:

403×608

403

608 ×

________

245,024

Answer 2

Answer:

After applying distributive property value of 403×608 = 2,45,024

Step-by-step explanation:

Distributive property:

• Distributive property is the property mostly used in mathematics to simplify and solve the multiplication equation by distributing the multiplier to each number inside the parenthesis and then adding the products together to get the answer.
• Distributive property is used to divide large numbers because dividing large number is a quite lengthy process. So, this property allows us to make it easier by breaking those numbers into small factors and then distributing the division operation between them.
• Generally it can be expressed in two forms which are

Left distributive law:

               a(b+c) = ab+ac

Right distributive law:

              (a+b)c = ac+bc

Given mathematical expression is 403×608

    403×608 = (400+3)×(600+8)

                    =  400×(600+8)) + 3×(600+8)   (Applied Left distributive law)

                     = (400×600)+(400×8)+(3×600)+(3×8)

                     = 240000+3200+1800+24

                     = 2,45,024

    Hence, the value of 403×608 =2,45,024.

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