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Common Core: 5th Grade Math : Convert Among Different-Sized Standard Measurement Units: CCSS.Math.Content.5.MD.A.1

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #28 : Converting Units Of Measurement

How many $\textup{ meters}$ are in $7\textup{ centimeters?}$

Possible Answers:

$.007\textup{ meters}$

$70\textup{ meters}$

$.07\textup{ meters}$

$700\textup{ meters}$

$7\textup{ meters}$

Correct answer:

$.07\textup{ meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{7\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 7\ centimeters$

$x\ meters=\frac{.01\ meter\times 7\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.07\ meters$

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Example Question #182 : Ratio And Proportion

How many $\textup yards$ are in $720\textup{ inches?}$

Possible Answers:

$20\textup { yards}$

$18\textup { yards}$

$12\textup { yards}$

$14\textup { yards}$

$16\textup { yards}$

Correct answer:

$20\textup { yards}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ , and we can use as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{720\ inches}$

Next, we want to cross multiply and divide to isolate the on one side.

$36\ inches\times x\ yards= 1\ yard \times 720\ inches$

$20\ yards= \frac{1\ yard \times 720\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $20\ yards$

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Example Question #193 : Ratio And Proportion

How many $\textup{meters}$ are in $10\textup{ centimeters?}$

Possible Answers:

$.1\textup { meter}$

$1\textup { meter}$

$.01\textup { meter}$

$.001\textup { meter}$

$10\textup { meters}$

Correct answer:

$.1\textup { meter}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{10\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times10\ centimeters$

$x\ meters=\frac{.01\ meter\times 10\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.1\ meters$

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Example Question #194 : Ratio And Proportion

How many $\textup{ meters}$ are in $3\textup{ centimeters?}$

Possible Answers:

$300\textup { meters}$

$.03\textup { meters}$

$.003\textup { meters}$

$3\textup { meters}$

$30\textup { meters}$

Correct answer:

$.03\textup { meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{3\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 3\ centimeters$

$x\ meters=\frac{.01\ meter\times 3\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.03\ meters$

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Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many $\textup { meters}$ are in $12\textup{ centimeters?}$

Possible Answers:

$1.2\textup { meters}$

$.012\textup { meters}$

$.12\textup { meters}$

$12.0\textup { meters}$

$12\textup { meters}$

Correct answer:

$.12\textup { meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{12\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 12\ centimeters$

$x\ meters=\frac{.01\ meter\times 12\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.12\ meters$

Report an Error

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Possible Answers:

$1.5\textup { centimeters}$

$500\textup { centimeters}$

$50\textup { centimeters}$

$5\textup,000\textup { centimeters}$

$5\textup { centimeters}$

Correct answer:

$500\textup { centimeters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $500\ centimeters$

Report an Error

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Possible Answers:

$.0013\textup { centimeters}$

$13\textup,000\textup { centimeters}$

$1\textup,300\textup { centimeters}$

$130\textup { centimeters}$

$1.3\textup{ centimeters}$

Correct answer:

$1\textup,300\textup { centimeters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $1,300\ centimeters$

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Convert Among Different-Sized Standard Measurement Units: CCSS.Math.Content.5.MD.A.1

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #28 : Converting Units Of Measurement

Example Question #182 : Ratio And Proportion

Example Question #193 : Ratio And Proportion

Example Question #194 : Ratio And Proportion

Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

All Common Core: 5th Grade Math Resources

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