高的原理图ool Math : How to solve one-step equations with decimals in pre-algebra

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1

Example Question #1 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif

Possible Answers:

Correct answer:

Explanation:

To solve forwe 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 isso we subtractfrom each side of the equation to make it look like this

The numbers on the left side cancel to leaveby 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 numberand

Combine the numbers and keep the decimal in the same place to get

The answer is

Example Question #2 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif

Possible Answers:

Correct answer:

Explanation:

To solve forwe must get all of the numbers on the other side of the equation of.

To do this in a problem where被乘以一个数字,我们必须把薄熙来th sides of the equation by the number.

In this case the number isso we divide each side of the equation byto 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 beso we don't have any decimal places and the answer is.

Example Question #3 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif.

Possible Answers:

Correct answer:

Explanation:

To solve forwe must get all of the numbers on the other side of the equation of.

To do this in a problem whereis being subtracted by a number, we must add the number to both sides of the equation.

In this case the number isso we addto each side of the equation to make it look like this

The numbers on the left side cancel to leaveby 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.

Example Question #4 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif

Possible Answers:

Correct answer:

Explanation:

To solve forwe must get all of the numbers on the other side of the equation of.

To do this in a problem whereis being multiplied by a coefficient, we must divide both sides of the equation by the coefficient.

In this case the number isso we divide each side of the equation byto 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.

The number of decimal places in the denominator will be subtracted from the number of decimal places in the numerator to get the number of decimal places we must change 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 negative so we move the decimalplace to the right ofto get.

The answer is.

Example Question #5 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve, addto both sides.

Example Question #6 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve, we need to isolate. That means we need to addto both sides.

Example Question #7 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve for.

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #1 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve for.

Possible Answers:

Correct answer:

Explanation:

To solve for, we first need to isolate it. That means we want ONLYon the left side of the equation.

Subtractfrom both sides.

Example Question #9 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif.

Possible Answers:

Correct answer:

Explanation:

To solve for, we must move all of the constants to the other side of the equation as.

To do this in a problem where被乘以一个数字,我们必须把薄熙来th sides of the equation by the number.

In this case the number is, so we divide each side of the equation byto 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 move the decimals.

The number of decimal places in the denominator will be subtracted from the number of decimal places in the numerator to get the number of places to move the decimal point.

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 the subtraction yields, so we move the decimalplace to the right ofto get.

The answer is.

Example Question #10 :How To Solve One Step Equations With Decimals In Pre Algebra

Solve forif.

Possible Answers:

Correct answer:

Explanation:

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 subtractfrom each side of the equation to make it look like this:

The numbers on the left side cancel to leaveby itself.

The answer is then.

← Previous 1
Learning Tools by Varsity Tutors