Balancing Equations and Properties of Equality (Part 2)

The video tutorial explains how to maintain balance in equations using the properties of equality. It begins with a demonstration of a pan balance, showing the effect of doubling weight on one side. The lesson then covers the multiplication property of equality, which states that multiplying both sides of an equation by the same number keeps it true. Similarly, the division property of equality is discussed, emphasizing that dividing both sides by the same non-zero number maintains the equation's truth. The tutorial concludes by reinforcing the importance of performing the same operation on both sides to keep equations balanced.

What happens to a pan balance if you double the amount on one side?

• It becomes unbalanced.

• It remains level.

• It breaks.

• It tips to the other side.

How can you restore balance to a pan balance after doubling the amount on one side?

• Double the amount on the other side.

• Remove some weight from the doubled side.

• Do nothing.

• Add more weight to the other side.

What does the multiplication property of equality state?

• Subtracting the same number from both sides keeps the equation true.

• Dividing both sides by the same number keeps the equation true.

• Multiplying both sides by the same number keeps the equation true.

• Adding the same number to both sides keeps the equation true.

If a = b, what happens if you multiply both sides by the same number?

• The equation is undefined.

• The equation becomes unbalanced.

• The equation remains true.

• The equation becomes false.

What is required for the division property of equality to hold true?

• Divide both sides by the same non-zero number.

• Divide both sides by zero.

• Add the same number to both sides.

• Multiply both sides by the same number.