Question

Determine B and C from the given equations?
$111\times 31-441=AA÷3000=BB-1=C$

• A. Additive identity and multiplicative identity
• B. 0 and 1
• C. Multiplicative identity and additive identity
• D. 0 and -1

Answer 1

The correct option is C Multiplicative identity and additive identity

Given,
$111\times 31-441=A$

$111\times 31-441=(100+10+1)\times 31-441=100\times 31+10\times 31+1\times 31-441\text{[By applying distributive property]}=3100+310+31-441=3441-441=3000$

So, $111\times 31-441$ = A = 3000

Given, A/3000 = B
So, 3000/3000 = 1
$⟹B=1$ [Multiplicative identity]

And given that C = B - 1 = 1 - 1 = 0 [Additive identity]

Therefore, B = 1 is the multiplicative identity and C = 0 is the additive identity.