It is balance
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.
You can add or subtract any quantity on both sides of an equation, without changing the equation's solution set. Just make sure you add or subtract the same thing on both sides.
You can:* Add the same expression to both sides of an equation * Subtract the same expression from both sides * Multiply the same expression (must not be zero) to both sides * Divide both sides by the same expression (must not be zero)
Associative? Commutativity?
It is balance
Yes.
no because if the same is added to both sides they stay inequal example: 4≠6 (*5) 20≠30
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.
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.
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.
I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.
The equation remains in 'balance'
The equation remains in 'balance'
The equation remains in 'balance'
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.
Yes because this keeps both sides of the equation in balance.