Math › How to solve one-step equations with decimals in pre-algebra
Solve for .
To solve for , we need to isolate
. That means we want only
on the left side of the equation.
Divide both sides by .
Solve for if
.
To solve for we must get all of the numbers on the other side of the equation of
.
To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.
In this case the number is so we add
to each side of the equation to make it look like this
The numbers on the left side cancel to leave by itself.
Then we must perform the necessary addition to get the answer.
To add decimals together you place the decimals one over the top of the other aligned by the decimal point.
If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.
Then add each place with the appropriately aligned number to get a result for each number.
In this case the decimals will add together like this
The answer is .
Solve for .
To solve , you can either plug it into your calculator or realize that
. Therefore, we are looking for half of five, which is
.
Mathematically, that means:
Solve for if
To solve for we must get all of the numbers on the other side of the equation of
.
To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.
In this case the number is so we divide each side of the equation by
to make it look like this
Then we must divide the decimals by each other to find the answer.
To divide decimals we line the decimals up like this .
Then ignoring all of the decimal places we divide the top number by the bottom number to get
Then we must apply the decimals.
However many decimal places there are in the denominator will be subtracted from the number of decimal places in the numerator to get the final number of decimal places in our answer.
If the number is positive we move the decimal that number of places to the left of our number.
If the number is negative we move the decimal that number of places to the right of our number.
In this case it would be so we don't have any decimal places and the answer is
.
Solve for if
To solve for we must get all of the numbers on the other side of the equation as
.
To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.
In this case the number is so we subtract
from each side of the equation to make it look like this
The numbers on the left side cancel to leave by itself.
To do the necessary subtraction we need to know how to subtract decimals from each other.
To subtract decimals you place the first decimal over the top of the other aligned by the decimal point.
Then go through each place and subtract the top number by the bottom number.
Subtract the numbers in each place like you would any number and
Combine the numbers and keep the decimal in the same place to get
The answer is
What is ?
To solve , you can either plug it into your calculator or convert it to a fraction. Since
, we can rewrite the equation as:
Solve for .
To solve , add
to both sides.
Solve for when
To solve for we must get all of the numbers on the other side of the equation as
.
To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.
In this case the number is so we add
to each side of the equation to make it look like this
The numbers on the left side cancel to leave by itself.
Then we must perform the necessary addition to get the answer.
To add decimals together you place the decimals one over the top of the other aligned by the decimal point.
Then add each place with the appropriately aligned number to get a result for each number.
In this case the decimals will add together like this
The answer is .
Solve for if
.
To solve for , we must isolate
.
To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.
In this case the number is , so we subtract
from each side of the equation to make it look like this:
The numbers on the left side cancel to leave by itself.
The answer is then .
Solve for .
To solve for , we first need to isolate it. That means we want ONLY
on the left side of the equation.
Subtract from both sides.