https://file.aiquickdraw.com/mathbot/file/1729708268791cb9lgl4s.jpg

Let's go through the problem step by step.

We are given the equation:  
\[ 50 + 1 = 51 \]

The problem asks to perform three operations and check if the resulting equation is still true.

### a) Add 12 to each side of the equation
If we add 12 to both sides:

\[
50 + 1 + 12 = 51 + 12
\]

This simplifies to:

\[
63 = 63
\]

So, the equation is still true.

### b) Add \( 10 + 2 \) to the left side and 12 to the right side
On the left side, we are adding \( 10 + 2 \), and on the right side, we add 12:

\[
50 + 1 + 10 + 2 = 51 + 12
\]

Simplifying:

\[
63 = 63
\]

So, this equation is still true as well.

### c) Add the equation \( 4 + 3 = 7 \) to the equation \( 50 + 1 = 51 \)
When we add both sides of the equation \( 4 + 3 = 7 \) to both sides of \( 50 + 1 = 51 \), we get:

\[
(50 + 1) + (4 + 3) = 51 + 7
\]

Simplifying both sides:

\[
58 = 58
\]

Again, this is a true equation.

### Conclusion:
- All the equations after the operations remain true.

Would you like any further details on any of the steps or operations? 

Here are 5 follow-up questions to think about:
1. What happens if you subtract a number from both sides of an equation?
2. Can we multiply both sides of the equation by a negative number?
3. Why do we add or subtract the same number to both sides of an equation?
4. What would happen if we only add to one side of the equation?
5. Can you solve equations where variables are on both sides?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Perform operations on the equation 50 + 1 = 51 and determine if the resulting equation is still true.

Explore how to perform basic arithmetic operations on the equation 50 + 1 = 51 and verify if the resulting equations are still true. The problem covers concepts such as addition and properties of equality, suitable for Grade 5-6 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation