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Q: Can both sides of an equation be multiplied by the same?
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Which property says that if both sides of a true equation are multiplied by the same quantity then the resulting equation is also true?

It is balance


The Multiplication Property of Equality holds true only if the same number is multiplied to both sides of an equation?

Yes.


Does the inequality sign change when both sides are multiplied or divided in an equation?

no because if the same is added to both sides they stay inequal example: 4≠6 (*5) 20≠30


Why is it important to do the same things to both sides of an equation?

In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.


Why is it not necessary to state a division property of equality?

It follows from the multiplication property of equality. Dividing both sides of an equation by the same number (not by zero, of course) is the same as multiply both sides of the equation by the number's reciprocal. For example, dividing both sides of an equation by 2 is the same as multiplying both sides by 0.5.


What is the multiplicative property of equality?

States that two sides of an equation remain equal if multiplied by the same number. usually seen algebraically as: if a = b, then ac = bc this is the property that allows you to "move" a number to the other side of the equation by multiplying or dividing both sides by the same number.


The definition of division property of equality?

I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.


When you perform the same operations on both sides of the equation the equation stays in what?

The equation remains in 'balance'


When you perform the same operation on both sides of the equation the equation stays in what?

The equation remains in 'balance'


When you perform the same operation on both sides of the equation the equation stays in the what?

The equation remains in 'balance'


Why is it important to keep both sides of the equation equal?

If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.


What is Both entire sides of a true equation are divided by the same non-zero value then the resulting equation is also true?

Yes because this keeps both sides of the equation in balance.