Pre-Algebra : One-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #131 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide both sides by .  can also be expressed as . Both decimals each have one decimal place so the expression becomes: .  

Example Question #132 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide both sides by .  The denominator has less decimal places than the numerator so we just shift one decimal place for top and bottom: .  

Example Question #133 : One Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift two places to the left to get a decimal of 

Example Question #134 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift one places to the left to get a decimal of 

Example Question #135 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift one place to the left to get a decimal of . Since we are multiplying with negative numbers, we need to determine if the answer is negative. There is one negative number and that means the answer is negative. 

Example Question #136 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift one place to the left to get a decimal of 

Example Question #137 : One Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift two places to the left to get a decimal of . Since we are multiplying with negative numbers, we need to determine if the answer is negative. There are two negative numbers and that means the answer is positive. 

Example Question #21 : One Step Equations With Decimals

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Subtract both sides by 

Example Question #22 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract both sides by 

 Next, we divide both sides by . The left side will have two negatives cancel out to be a positive 

 

Example Question #23 : One Step Equations With Decimals

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add both sides by .  

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