Common Core: 4th Grade Math : Measurement & Data

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

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Example Questions

Example Question #1 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 9.25.27 am

Possible Answers:

\(\displaystyle 400,000\)

\(\displaystyle 400\)

\(\displaystyle 40,000\)

\(\displaystyle 4,000\)

\(\displaystyle 4000,000\)

Correct answer:

\(\displaystyle 400,000\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1km}{100,000 cm}=\frac{4km}{x}\)

First we cross multiply. 

\(\displaystyle 1km(x)=4km(100,000cm)\) 

Then we divide each side by \(\displaystyle 1km\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1km(x)}{1km}=\frac{4km(100,000cm)}{1km}\)

\(\displaystyle x=400,000 cm\)

Example Question #1 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 

Screen shot 2015 09 01 at 9.29.13 am

 

Possible Answers:

\(\displaystyle 400\)

\(\displaystyle 4\)

\(\displaystyle 4000\)

\(\displaystyle 40\)

\(\displaystyle 40,000\)

Correct answer:

\(\displaystyle 400\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1m}{100 cm}=\frac{4m}{x}\)

First we cross multiply. 

\(\displaystyle 1m(x)=4m(100cm)\) 

Then we divide each side by \(\displaystyle 1m\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1m(x)}{1m}=\frac{4m(100cm)}{1m}\)

\(\displaystyle x=400 cm\)

Example Question #3 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 9.30.02 am

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 200\)

\(\displaystyle 2000\)

\(\displaystyle 20,000\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 200\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1m}{100 cm}=\frac{2m}{x}\)

First we cross multiply. 

\(\displaystyle 1m(x)=2m(100cm)\) 

Then we divide each side by \(\displaystyle 1m\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1m(x)}{1m}=\frac{2m(100cm)}{1m}\)

\(\displaystyle x=200 cm\)

Example Question #2 : Measurement & Data

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 9.31.34 am

Possible Answers:

\(\displaystyle 5000\)

\(\displaystyle 500\)

\(\displaystyle 50,000\)

\(\displaystyle 50\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 500\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1m}{100 cm}=\frac{5m}{x}\)

First we cross multiply. 

\(\displaystyle 1m(x)=5m(100cm)\) 

Then we divide each side by \(\displaystyle 1m\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1m(x)}{1m}=\frac{5m(100cm)}{1m}\)

\(\displaystyle x=500 cm\)

Example Question #2 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 10.22.18 am

Possible Answers:

\(\displaystyle 280\)

\(\displaystyle 300\)

\(\displaystyle 340\)

\(\displaystyle 260\)

\(\displaystyle 320\)

Correct answer:

\(\displaystyle 300\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{60 min}=\frac{5hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=5hr(60min)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{5hr(60m)}{1hr}\)

\(\displaystyle x=300 min\)

Example Question #1 : Know Relative Sizes Of Measurement Units: Ccss.Math.Content.4.Md.A.1

Fill in the missing piece of the table. 

Screen shot 2015 09 01 at 10.22.43 am

Possible Answers:

\(\displaystyle 280\)

\(\displaystyle 260\)

\(\displaystyle 270\)

\(\displaystyle 230\)

\(\displaystyle 240\)

Correct answer:

\(\displaystyle 240\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{60 min}=\frac{4hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=4hr(60min)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{4hr(60m)}{1hr}\)

\(\displaystyle x=240 min\)

Example Question #2 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 10.22.55 am

Possible Answers:

\(\displaystyle 180\)

\(\displaystyle 140\)

\(\displaystyle 170\)

\(\displaystyle 190\)\(\displaystyle 150\)

\(\displaystyle 160\)

Correct answer:

\(\displaystyle 180\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{60 min}=\frac{3hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=3hr(60min)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{3hr(60m)}{1hr}\)

\(\displaystyle x=180 min\)

Example Question #4 : Solve Problems Involving Measurement And Conversion Of Measurements

Fill in the missing piece of the table. 

Screen shot 2016 01 13 at 9.37.15 am

 

Possible Answers:

\(\displaystyle 18,800\)

\(\displaystyle 190,000\)

\(\displaystyle 170,800\)

\(\displaystyle 17,000\)

\(\displaystyle 18,000\)

Correct answer:

\(\displaystyle 18,000\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{3600 sec}=\frac{5hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=5hr(3600sec)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{5hr(3600sec)}{1hr}\)

\(\displaystyle x=18,000 sec\)

Example Question #6 : Measurement & Data

Fill in the missing piece of the table. 


Screen shot 2016 01 13 at 9.41.34 am

Possible Answers:

\(\displaystyle 18,000\)

\(\displaystyle 10,800\)

\(\displaystyle 10,000\)

\(\displaystyle 16,000\)

\(\displaystyle 10,600\)

Correct answer:

\(\displaystyle 10,800\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{3600 sec}=\frac{3hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=3hr(3600sec)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{3hr(3600sec)}{1hr}\)

\(\displaystyle x=10,800 sec\)

Example Question #7 : Measurement & Data

Fill in the missing piece of the table. 


Screen shot 2016 01 13 at 9.48.15 am

Possible Answers:

\(\displaystyle 700\)

\(\displaystyle 6\textup,200\)

\(\displaystyle 7\textup,200\)

\(\displaystyle 500\)

\(\displaystyle 6\textup,000\)

Correct answer:

\(\displaystyle 7\textup,200\)

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

\(\displaystyle \frac{1hr}{3600 sec}=\frac{2hr}{x}\)

First we cross multiply. 

\(\displaystyle 1hr(x)=2hr(3660sec)\) 

Then we divide each side by \(\displaystyle 1hr\) to isolate the \(\displaystyle x\).

\(\displaystyle \frac{1hr(x)}{1hr}=\frac{2hr(3600sec)}{1hr}\)

\(\displaystyle x=7200 sec\)

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