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What is the difference between multiplication property of inequality and multiplication property of equality?
The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. In contrast, the multiplication property of inequality states that if you multiply both sides of an inequality by a positive number, the inequality remains unchanged, but if you multiply by a negative number, the inequality sign must be flipped. Thus, while equality preserves its form, inequality requires careful handling based on the sign of the multiplier.
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 property that states that if you add the same number to both sides of an equation the new equation will have the same solution?
Associative? Commutativity?
is this statement true or falseThe Addition Property of Equality states that an equation remains true if you add the same number to both sides of the equation.?
true
What does subtraction property of equality mean?
That means that subtracting the same value or expression from both sides of an equation is a valid operation, in the sense that the new equation will have the same solution set. The definitions of "addition property...", "multiplication property..." and "division property..." are similar; with the main caveat that you may not multiply or divide by zero.
What is the property that states that if you multiply both sides of an equation by the same number the new equation will have the same solution?
im not a 100 percent sure but i think its.... Multiplication Property of Equality
What is an addition property of equality?
The addition property of equality states that if you add the same number to both sides of an equation, then the sides remain even. This means that the equation remains to be true.
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 property that states that if you add the same number to both sides of an equation the new equation will have the same solution?
Associative? Commutativity?
What is the addition property of equality?
The Addition Property of Equality states that if you add the same number to both sides of an equation the two sides remain equal. Source- My mathbook.
The rules of algebra used to transform equations into equivalent equations?
multiply the entire equation by a numberdivide the entire equation by a numberadd numbers to both sides of the equationsubtract numbers from both sides of the equationuse the commutative property to rearrange the equationuse the associative property to rearrange the equationfactor a number out of a portion of the equation
Should the number that multiplies each side of the equation be nonzero when using multiplication property?
Yes, it should be non-zero; if you multiply both sides by zero you wipe out the equation.
is this statement true or falseThe Addition Property of Equality states that an equation remains true if you add the same number to both sides of the equation.?
true
is this statement true or falseThe Multiplication Property of Equality states that an equation remains true if you divide both sides of the equation by the same number.?
false
How do you eliminate fractions in an equation?
Multiply both sides ofthe equation by the 'denominator' of the fraction.
What does subtraction property of equality mean?
That means that subtracting the same value or expression from both sides of an equation is a valid operation, in the sense that the new equation will have the same solution set. The definitions of "addition property...", "multiplication property..." and "division property..." are similar; with the main caveat that you may not multiply or divide by zero.
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.
