Question

Greatest 4 and 5 digit number find the product using distributive propertie

Answer 1

Answer:

9989001

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Answer 2

The product of the greatest four-digit and five-digit numbers 999890001.

Given:

The greatest four-digit and five-digit numbers.

To Find:

The product of the greatest four-digit and five-digit numbers.

Solution:

The distributive property of multiplication over subtraction is given below:

If a, b, and c are three numbers, the ax(b-c) = (axb)-(axc)

The greatest four-digit and five-digit numbers can be found by placing the highest digit in each of its places.

Hence, the greatest four-digit and five-digit numbers are 9999 and 99999 respectively.

We can write 99999 as (100000 - 1)

Now, 9999 x 99999 = 9999 x (100000 - 1)

Using the distributive property of multiplication over subtraction, we have:

9999x99999 = 9999x(100000 - 1) = (9999x100000)-(9999x1)

⇒ 9999x99999 = 999900000-9999 = 999890001.

Hence, the product of the greatest four-digit and five-digit numbers is 999890001.

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