Q37. - Algebra 1

Question

A football team is on the 35-yard line. The quarterback is sacked at the line of scrimmage. The team gains 0 yards, so they are still at the 35-yard line. Which identity or property does this represent? Explain.

Step-by-Step Solution

Answer

The given situation represents the property of Additive Identity.

Step 1 – Given information.

A football team is on 35-yard line. The quarter back is sacked at the line of scrimmage. The team gains zero yards, so they are still at 35-yard line.

Step 2 – Give Explanation.

A football team is on 35-yard line. The team does not gain any yard and are still at the 35-yard line.

Mathematically, this is represented by: $35+0=35$

The above representation is the Additive Identity $\left(A+0=A\right)$ of numbers.

Step 3 – Conclusion.

There the above explanation represents the additive identity.

That is,

Additive Identity: $A+0=A$.