Question

Compare and contrast the multiplication rules for 1 and 0 with the division rules for 1 and 0.

Answer 1

Division Rules:

Zeroes in Division:
1. When you divide zero by any nonzero number, the quotient is zero.
For example;
                     0/10 = zero
2. When you divide a nonzero number by zero, the quotient is undefined or not possible.
                    5/0 = undefined or math error.

Ones in Division:
1. When you divide any non-zero number by one, the quotient is the dividend itself.
For example;
                     9/1 = 9
2. When you divide any non-zero number by itself, the quotient is the number itself.
For example;
                     9/9 = 1

Zeroes in Multiplication:

1. When you multiply zero by any non-zero number, the product is zero. For example;
              0 x 10 = zero
2. When you multiply a non-zero number by zero, the product is still zero.
For example;
                     12 x 0 = zero

Ones in Multiplication:
1. When you multiply one by any non-zero number, the product is the non-zero number itself.
For example;
                     1 x 10 = 10. 2.
When you multiply a non-zero number by one, the product is still the number itself.
For example;
                     12 x 1 = 12

Answer 2

Step-by-step explanation:

• Multiplication rules:

For 1:

If any number is multiplied by 1, we will obtain the number itself as an answer.

$a\times 1=1\times a=a$

For 0:

If any number is multiplied by 0, we will obtain the answer as 0 only.

$a\times 0=0\times a=0$

• Division Rules:

For 1:

If we divide any number by 1, we will obtain the number itself.

$\frac{a}{1}=a$

For 0:

If we divide any number by 0, we will obtain infinite number.

$\frac{a}{0}=\infty$

Where, a is any number.