ADDITIVE IDENTITY

Additive Identity

Additive identity states that the sum of the number and zero yields the same number.

More about Additive Identity

The number zero is called to be the additive identity.
a + 0 = a and 0 + a = a
Examples of Additive Identity
9 + 0 = 9
0 + x = x

Video Examples: Additive Identity

Solved Example on Additive Identity

Which of the following satisfies the additive identity property?

Choices:

A. 7 + 0 = 7
B. - 4 + 0 = 0
C. - 9 + 0 = 0
D. 2 + (- 1) = 1

Correct Answer: A

Solution:

Step 1: In Identity property, the sum of the number and zero yields the same number.
Step 2: Here, 7 + 0 = 7 satisfies the property of additive identity.

Quick Summary

Adding zero to any number doesn't change the number.
Zero is called the additive identity.

\[ a + 0 = a \]

🍎 Teacher Insights

Use visual aids like number lines or counters to demonstrate that adding zero doesn't change the quantity. Emphasize that this is a special property of zero.

🎓 Prerequisites

Basic addition
Understanding of zero

Check Your Knowledge

Q1: Which of the following equations demonstrates the additive identity property?

A. 5 + 1 = 6 B. 3 + 0 = 3 C. 2 x 1 = 2 D. 4 - 1 = 3

Q2: What is the additive identity?

A. 1 B. 2 C. 0 D. -1

Frequently Asked Questions

Q: What happens when I add zero to a negative number?
A: The negative number stays the same. For example, -5 + 0 = -5.

Q: Is there more than one additive identity?
A: No, zero is the only additive identity.