Question

Multiplication $999\times 999$ equals.

• A. $998,001$
• B. $997,901$
• C. $998,901$

Answer 1

The correct option is A $998,001$

To multiply two numbers using distributive property of multiplication over addition, we must first express them in expanded form.

$\therefore$ Numbers in expanded form are:
$999=900+90+9$

Now, $999\times 999=(900+90+9)\times (900+90+9)$
Since, both the numbers are of three digits, we need $3\times 3$ box as depicted in figure below,


Sum of numbers in each box will give the product of $999\times 999$,

Therefore, $999\times 999=998,001$