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Why can you multiply or divide both sides of an equation by the same number and still have the equation be true?
Wiki User
∙ 11y ago
It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.
Wiki User
∙ 11y ago
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If 4n equals 3.60 then what is the value of n?
Beginning with 4n = 3.60, divide both sides of the equation by 4 to get 4n/4 = 3.60/4. Carrying out the division we get n = 0.9, the answer. You can multiply or divide both sides of any equation by the same number to help you isolate the value for which you wish to solve. The equation remains true whenever the same factor is applied to all terms in both sides. (Exception: cannot divide by zero.)
Five-sixths of a number equals 100 what is the number?
Treat this as an equation to find the value of x 5/6x = 100 Multiply both sides by 6: 5x = 600 Divide both sides by 5: x = 120 So the value of the unknown number is 120.
If you multiply or divide both sides of an inquality by a negative number you need to?
Change the direction of the inequality.
One-half of a mumber added to one-fourth of 96 is 30 what is the number?
Until we figure out what the mumber actually is, let's call it ' x '. The question tells us that (x/2) + (96/4) = 30. Multiply both sides of the equation by 4: (2x) + (96) = 120 Subtract 96 from both sides of the equation: (2x) = 24 Divide both sides of the equation by 2: x = 12
What equation equals 23?
The equation:x = 23 If you want something more fancy, do something to both sides of the equation; for example, add or subtract some number to both sides, multiply or divide both sides by some number. You can also square both sides, but that will add additional solutions.
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
Can large quantities can always be added or subtracted from both sides of an equation?
The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.
Multiply 45 with this number and you get 4950what is the number?
Let the unknown number be x: 45x = 4950 Divide both sides of the equation to find the value of x: x = 110
How is inequality differant from equation?
The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".
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.
Does an inequality sign change in an equation when both sides are multipled or divided by negative number?
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
How do you do a Equation?
perform the same operation(add, subtract, multiply or divide) to both sides until you isolate the unknown on one side of the equation
If 4n equals 3.60 then what is the value of n?
Beginning with 4n = 3.60, divide both sides of the equation by 4 to get 4n/4 = 3.60/4. Carrying out the division we get n = 0.9, the answer. You can multiply or divide both sides of any equation by the same number to help you isolate the value for which you wish to solve. The equation remains true whenever the same factor is applied to all terms in both sides. (Exception: cannot divide by zero.)
What is the equation for (21)?
You can make lots of equations that have the solution 21. Here is one:x = 21If you think that is too trivial, add, subtract, multiply, or divide the same number to or from both sides.
Five-sixths of a number equals 100 what is the number?
Treat this as an equation to find the value of x 5/6x = 100 Multiply both sides by 6: 5x = 600 Divide both sides by 5: x = 120 So the value of the unknown number is 120.
Do you see any differences from an equation when you add or subtract numbers to both sides of the inequality sign?
No, the process is exactly the same. However, when you multiply or divide, you must be careful: if you multiply or divide by a negative number, the direction of the inequality must be changed, for example: -x + 3 > 15 (multiply by -1) x - 3 < -15
What is the easiest way to solve inequalities?
It is very similar to solving an equation. You can add or subtract the same term from both sides. In addition, you can multiply or divide both sides by the same thing. A couple of things to note, though, if you multiply or divide both sides by a negative number, the inequality must be flipped [greater than (>) becomes less than (
