https://file.aiquickdraw.com/mathbot/file/1728059987415rzu4kesd.jpg

The property of equality shown in the image is the **Division Property of Equality**. 

This property states that if two expressions are equal, dividing both sides of the equation by the same non-zero number will maintain the equality. In your case, the equation:

\[
20 = -43m
\]

is divided by 62 on both sides, resulting in:

\[
\frac{20}{62} = \frac{-43m}{62}
\]

This demonstrates that dividing both sides by the same number (62) preserves the equality of the equation.

Would you like more details or have any questions?

Here are 5 related questions that build on this concept:

1. How does the division property of equality differ from the multiplication property of equality?
2. Can we apply the division property of equality to inequalities? What changes?
3. Why is it important that the divisor (in this case, 62) is not zero when applying this property?
4. How would you solve for \(m\) in the equation after dividing by 62?
5. What are other common properties of equality used in solving equations?

**Tip:** Always double-check that you're dividing by a non-zero number when using the division property of equality. Dividing by zero is undefined!

Which property of equality is shown below?
If: 20 = -43m
Then: 20/62 = -43m/62

Learn about the division property of equality in algebra, where dividing both sides of an equation by the same non-zero number preserves equality. This example divides both sides of the equation 20 = -43m by 62. Suitable for students in Grades 6-8.

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