Question

find the product of largest three digit number and largest 4 digit number using distributive law ​

Answer 1

Step-by-step explanation:

Largest 3 digit no. = 999

Largest 4 digit no. = 9999

Their product is = 989001

Answer 2

Distributive law:

Let a, b, c be three numbers. If

a (b + c) = ab + ac, then this property is called distributive law.

Solution:

The largest three digit number is 999 and the largest four digit number is 9999.

We have to find their products using distributive law.

Now, 999 × 9999

= 999 × (10000 - 1) ,

since 9999 = 10000 - 1

= (999 × 10000) - (999 × 1) ,

using distribution law

= {(1000 - 1) × 10000} - 999 ,

since 999 = 1000 - 1

= (1000 × 10000) - (1 × 10000) - 999 ,

using distributive law

= 10000000 - 10000 - 999

= 9989001