because you just do!
Even if you keep the decimal, later on you will still have to remove it. It is just an easier way to solve the equation.
It makes it allot less confusing. But, that is just my opinion.
No, it isn't "essential", but it's often quite convenient.
To make them look more familiar and approachable to beginning algebra students. It's completely unnecessary with the advent of calculators though.
Multiply both sides of each linear equation by a power of 10 that is sufficiently large to clear the decimal. Example: 0.34x = 13.6. There are two places to the right of the decimal point, on the left side; there is one place to the right of the decimal point, on the right side. If you multiply both sides by 100, you get 34x = 1,360. That result clears all decimals, and you might find it easier to solve. You don't have to do that, but many will say that that makes it easier for them.
There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.
Multiply every term in the equation by a common denominator of all the fractions. The least common denominator (if different) will result in smaller numbers that you then have to work with but it is not essential that you use it.
The question is not that clear but the 2 decimals could be 18.70 or 18.700 now having 2-3 zeros.
Yes, you can write an equation out in words. This is often done to make clear what the equation in numerals is.
Multiply the whole equation by the lowest common denominator. ie. multiply each number by the lowest factor that goes into all of the denominators. Example: if you have y/2 = 3x/4 + 16/6 -> the lowest common denominator is 12, because 12 is the lowest number that will clear all the fractions, so: 12 (y/2 = 3x/4 + 16/6) 6y = 9x + 32 -> of course, if you want to graph this linear equation, you need to solve for y, so you would have to divide the whole equation by 6. (6y = 9x + 32)/6 y = 9x/6 + 32/6 -> simplify the fractions y = 3x/2 + 16/3 -> this is your equation for y.
To clear the fraction, multiply the whole equation by the denominator of the fraction.
Traditional linear processes in problem solving: Identifying the issue --> gathering data --> studying all the options --> choosing one strategy --> implementing --> testing