How to solve an equation to the nearest tenth.
solve the equation and then round to the nearest tenth.
For example,
2.36 is closer to 2.4 than it is to 2.3
since 6 is more than halfway from 0 to 10, and there are 10 hundredths in a tenth.
if the hundredths are 5 or more, round up; otherwise, round down
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To solve an equation to the nearest tenth, follow these steps:
1. Start by solving the equation as you normally would, using basic algebraic operations to isolate the variable on one side of the equation.
2. Once you have the variable isolated, evaluate the expression to determine its decimal value. This value might not be in decimal form if the original equation involved fractions or radicals.
3. If the decimal value goes beyond the tenths place (i.e., it has digits after the decimal point), round the value to the nearest tenth. To do this, locate the digit in the hundredths place (one place to the right of the tenths place), and examine the digit immediately to the right. If the rightmost digit is 5 or greater, round up the tens digit; if it is 4 or smaller, round down the tens digit. Replace all digits to the right of the tenths place with zeros.
4. Finally, substitute the rounded decimal value of the variable back into the original equation to ensure the solution is accurate.
Note that not all equations will yield a solution that can be rounded to the nearest tenth. It is always important to verify the solution by substituting it back into the equation.
To solve an equation to the nearest tenth, you need to follow several steps:
1. Start by setting up the equation you want to solve. For example, let's say you have the equation 2x + 5 = 13.
2. Simplify the equation using the appropriate operations. In this case, you would subtract 5 from both sides: 2x = 8.
3. Next, isolate the variable by performing any necessary division or multiplication. For this equation, you would divide both sides by 2: x = 4.
4. Now that you have found the solution to the equation, you can round it to the nearest tenth. The tenth place refers to the first digit after the decimal point. In this case, since 4 is an integer, it can be represented as 4.0.
So, when solving an equation to the nearest tenth, the solution would be 4.0 in this example. If the solution involved fractions or decimals, you would round to the nearest tenth accordingly.