Math Fundamentals Properties of Zero and One

Math Fundamentals Properties of Zero and One

Math Fundamentals Properties of Zero and One 150 150 SchoolTutoring Academy

Zero (0) and one (1) are very special numbers. They possess the important properties given below:

Addition property of zero

Adding 0 to a number leaves its same. 0 is called the additive identity and the property is called the additive identity property.

4 + 0 = 4

0 + 3 = 3

Multiplication property of zero

Zero times any number is equal to zero. Which means, multiplying any number by 0 gives 0.

0 × 7 = 0

2 × 0 = 0

Multiplication property of one

Multiplying any number by 1 leaves it unchanged. 1 is called the multiplicative identity hence the property is called multiplicative identity.

1 × 36 = 36

23 × 1 = 23

Exponents of one

The number one raised to any power is always one.

1100 =1

1-34 =1

Exponent one

Any number raised to power one remains unchanged.

31 = 3

-51 = -5

Exponents of zero

The number zero raised to any power is remains zero.

024 = 0

0-9 = 0

Exponent zero

Any number raised to power zero is one

450 = 1

-230 = 1

Zero as numerator

Zero divided by any non-zero number is zero.

0 ÷ 3 = 0

0 ÷ 6 = 0

Zero as denominator

Any division by zero is not defined

9 ÷ 0 = not defined

3 ÷ 0 = not defined

 

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