SOLUTION: how do you demonstrate clearing a decimal in inequality or linear equation?

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Question 536415: how do you demonstrate clearing a decimal in inequality or linear equation?

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Clearing a decimal means multiply by a factor of 10 large enough to move the decimal point to make it a whole number.


3X+4y=.007.


To clear the decimal we have to move it 3 places to the right. That means multiply by 10^3 = 100. Multiplying both sides by 100 yields


300x + 400y = 7.


The same applies for an inequality.
.3X -.06 > 10


.06 has the most decimal places, so that's the one we handle. To clear it we have to move the decimal point two places to the right, meaning multiply by 10^2 = 100. Multiplying both sides by 100 yields


30x - 6 > 10.


Add 6 to both sides (30x > 16), then divide both sides by 30


x > 16/30


x > 8/15

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