Zero Math Example 1

Follow the full solution, then compare it with the other examples linked below.

easy

Evaluate: (a)

17 + 0

, (b)

17 \times 0

, (c)

0 \div 17

1
(a) $17 + 0 = 17$ — adding zero changes nothing (additive identity).
2
(b) $17 \times 0 = 0$ — any number times zero is zero (zero product property).
3
(c) $0 \div 17 = 0$ — zero divided by any nonzero number is zero.

Answer

(a)\; 17 \qquad (b)\; 0 \qquad (c)\; 0

Zero has three distinct roles in arithmetic: additive identity (

a + 0 = a

), annihilator for multiplication (

a \times 0 = 0

), and gives zero when divided by a nonzero number. These are separate properties, not one rule.

About Zero

The number representing the absence of quantity; the additive identity and placeholder in positional notation.

Why is [formula] undefined? Explain using the definition of division.

Is zero even or odd? Justify.

The number [formula] has a zero in the tens place. How does removing that zero (writing 320 instead)