asked 51.3k views
5 votes
Expand 1998 x 2002 without a calculator

1 Answer

2 votes

Answer:

3,999,996.

Explanation:

We can use the distributive property of multiplication to expand 1998 x 2002 as follows:

1998 x 2002 = (2000 - 2) x (2000 + 2)

Using the FOIL method, we can expand the product of these two binomials:

(2000 - 2) x (2000 + 2) = 2000 x 2000 + 2 x 2000 - 2 x 2000 - 2 x 2

Simplifying the terms, we get:

2000 x 2000 - 4 = 3,999,996

Therefore, 1998 x 2002 is equal to 3,999,996.

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User Shadowen
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