Question

find the product of largest 4 digit number and largest 3 digit number using distributive law​

Answer 1

Answer:

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

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Answer 2

Answer:

The answer is $9989001$.

Step-by-step explanation:

Distributive law states that :

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 $999$

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 distributive law

$= {(1000 - 1) * 10000} - 999$ ,

since $999 = 1000 - 1= (1000 * 10000) - (1 * 10000) - 999$ ,

using distributive law

$= 10000000 - 10000 - 999= 9989001$

Hence the answer is $9989001$.