Common Core: 4th Grade Math : Solve problems involving measurement and conversion of measurements

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #7 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Hannah has a  bag of peanuts that she is going to divide evenly between her four friends. How many ounces of peanuts does she give to each friend? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people. 

Example Question #8 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Molly has a  bag of peanuts that she is going to divide evenly between her three friends. How many ounces of peanuts does she give to each friend? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people. 

Example Question #191 : Ratio And Proportion

Melissa ran sprints for , and Megan ran sprints for . How many more minutes did Megan run than Jessica? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to subtract to find our difference. 

Example Question #81 : Solve Problems Involving Measurement And Conversion Of Measurements

Megan studied for  everyday from Monday-Friday. How many total hours did she spend studying?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to multiply  because Megan studied for  hours each day. 

Example Question #81 : Measurement & Data

A zookeeper was measuring the snakes during health checks. The ball python was three feet long, and the king cobra was six feet long. What is the difference between the ball python and the king cobra's length in inches?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our feet into inches because our final answer is asking for inches. We know that . We can set up a proportion and cross multiply to solve for the ball python first.

Then we can divide to isolate the .

Next, we will solve for the king cobra's length in inches.

Then we can divide to isolate the .

Finally, we need to find the difference between the two snakes' lengths by subtracting them.

The snakes have a difference of  in length.

Example Question #82 : Measurement & Data

On Saturday Natalie practiced her clarinet for  minutes and on Sunday she practiced for  hours. In hours, how much total time did she spend practicing on both Saturday and Sunday?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we can add our hours together to find the total.

Natalie spent  hours practicing her clarinet on both Saturday and Sunday.

Example Question #83 : Measurement & Data

Jackie measured the height of her brothers Paul and Randy. Paul was about five feet tall, and Randy was four feet and six inches tall. In inches, how tall are both of her brothers combined?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our feet into inches because our final answer is asking for inches. We know that . We can set up a proportion and cross multiply to solve for Paul's height first.

Then we can divide to isolate the .

Next, we will solve for Randy's height in inches. We will leave the inches portion that we already know (six inches) out for now and just convert the four feet into inches.

Then we can divide to isolate the .

Then we add the additional six inches to Randy's total height.

Finally, we need to find total of the brothers' combined height by adding them.

The brothers' have a combined height of  inches.

Example Question #82 : Solve Problems Involving Measurement And Conversion Of Measurements

What is the length of a rectangular room with a perimeter of  and a width of 

Possible Answers:

Correct answer:

Explanation:

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown. 

Subtract  from both sides

Divide  by both sides

Example Question #71 : Quadrilaterals

What is the length of a rectangular room with a perimeter of  and a width of 

 

Possible Answers:

Correct answer:

Explanation:

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown. 

Subtract  from both sides

Divide  by both sides

Example Question #72 : Quadrilaterals

What is the length of a rectangular room with a perimeter of  and a width of 

 

Possible Answers:

Correct answer:

Explanation:

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown. 

Subtract  from both sides

Divide  by both sides

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