College

Solve the equation:

[tex]\[ 89 + \_ = 89 \][/tex]

Find the missing value.

Answer :

Certainly! Let's solve the problem step-by-step:

You are given the equation:

[tex]\[ 89 + \quad = 89 \][/tex]

This equation is asking what number, when added to 89, results in 89.

1. Identify the problem setup: We need to find a number that, when added to 89, does not change the value. This number will be added to the left-hand side of the equation to keep the expression equal to the right-hand side, which is also 89.

2. Understand the concept: In mathematics, the number that does not change the value when added is known as the additive identity. The additive identity is 0. This is because adding 0 to any number leaves that number unchanged.

3. Perform the operation: To solve for the missing number, you can set up the equation as:

[tex]\[ 89 + x = 89 \][/tex]

Here, [tex]\( x \)[/tex] represents the number we are trying to find.

4. Solve for [tex]\( x \)[/tex]: Subtract 89 from both sides of the equation to find the value of [tex]\( x \)[/tex].

[tex]\[ x = 89 - 89 \][/tex]

[tex]\[ x = 0 \][/tex]

Thus, the missing number is 0. Adding 0 to 89 keeps the value of the expression at 89.