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Yes, both sides of an equation can be multiplied by the same non-zero number without changing the equality. This property is based on the principle that if two expressions are equal, multiplying both by the same value maintains that equality. However, it's important to avoid multiplying by zero, as this would invalidate the equation.
What else can I help you with?
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
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.
When we perform the same operation on both sides of the equation the equation stays in what?
When we perform the same operation on both sides of an equation, the equation stays in balance or equality. This means that if we add, subtract, multiply, or divide by the same value on both sides, the relationship between the two sides remains unchanged. This principle is fundamental in solving equations and maintaining their integrity.
How do I isolate a variable using multiplication or division?
To isolate a variable using multiplication or division, you need to perform the opposite operation on both sides of the equation. For example, if the variable is multiplied by a coefficient, divide both sides by that coefficient to isolate the variable. Conversely, if the variable is divided by a number, multiply both sides by that number. Always ensure to maintain the equality of the equation by applying the same operation to both sides.
What kind of quantities can be added or subtracted from both sides of an equation?
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.
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 we perform the same operation on both sides of the equation the equation stays in what?
When we perform the same operation on both sides of an equation, the equation stays in balance or equality. This means that if we add, subtract, multiply, or divide by the same value on both sides, the relationship between the two sides remains unchanged. This principle is fundamental in solving equations and maintaining their integrity.
How do I isolate a variable using multiplication or division?
To isolate a variable using multiplication or division, you need to perform the opposite operation on both sides of the equation. For example, if the variable is multiplied by a coefficient, divide both sides by that coefficient to isolate the variable. Conversely, if the variable is divided by a number, multiply both sides by that number. Always ensure to maintain the equality of the equation by applying the same operation to both sides.
When you perform the same operation on both sides of the equation the equation stays in the what?
The equation remains in 'balance'
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'
