- #1
DS2C
This isn't for math homework. I'm in self study and came across something in my book that I'm seeking clarification for.
The equation:
$$0.3\left(50-x\right)=6$$
The solution:
$$3\left(50-x\right)=60$$
$$150-3x=60$$
$$-3x=-90$$
$$x=30$$
Simple enough. My question is in regards to this:
The book says when clearing decimals, to multiply the denominator of the decimal with the greatest decimal places by both sides of the equation. Clearly that is done here, but why don't we multiply the ##\left(50-x\right)## by 10 as well? I would think that in multiplying each side of the equation by 10 would mean multiply each factor of each side of the equation by 10.
The equation:
$$0.3\left(50-x\right)=6$$
The solution:
$$3\left(50-x\right)=60$$
$$150-3x=60$$
$$-3x=-90$$
$$x=30$$
Simple enough. My question is in regards to this:
The book says when clearing decimals, to multiply the denominator of the decimal with the greatest decimal places by both sides of the equation. Clearly that is done here, but why don't we multiply the ##\left(50-x\right)## by 10 as well? I would think that in multiplying each side of the equation by 10 would mean multiply each factor of each side of the equation by 10.