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Common Core: 5th Grade Math : Measurement & Data

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

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All Common Core: 5th Grade Math Resources

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Example Questions

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

What is the area, in meters, of a rectangle that is 200 centimeters long and 5 meters wide?

(1 meter is equivalent to 100 centimeters.)

Possible Answers:

$1000\ m^2$

$10\ m^2$

$20\ m^2$

$1000\ cm^2$

$10\ m$

Correct answer:

$10\ m^2$

Explanation:

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Example Question #2 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many feet are in $72\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ foot=12\ inches$ , and we can use has our unknown.

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{72\ inches}$

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

$12\ inches\times x\ feet= 1\ foot \times 72\ inches$

$6\ feet= \frac{1\ foot \times 72\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $6\ feet$

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Example Question #1 : Measurement & Data

How many meters are in $6\ centimeters?$

Possible Answers:

600

Correct answer:

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{6\ centimeters}{x\ meters}$

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

$1\ centimeter\times x\ meters=.01\ meter\times 6\ centimeters$

$x\ meters=\frac{.01\ meter\times 6\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.06\ meters$

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

How many centimeters are in $3\ meters?$

Possible Answers:

3,000

300

Correct answer:

300

Explanation:

To solve this problem we can make proportions.

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

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

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

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

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

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

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

How many centimeters are in $7\ meters?$

Possible Answers:

700

7,000

Correct answer:

700

Explanation:

To solve this problem we can make proportions.

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

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

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

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

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

The meters will cancel and we are left with $700\ centimeters$

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Example Question #6 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many centimeters are in $9\ meters?$

Possible Answers:

900

9,000

Correct answer:

900

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{9\ meters}$

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

$1\ centimeter\times 9\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 9\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $900\ centimeters$

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Example Question #7 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many centimeters are in $17\ meters?$

Possible Answers:

170

1.7

1,700

17,000

Correct answer:

1,700

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{17\ meters}$

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

$1\ centimeter\times 17\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 17\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $1,700\ centimeters$

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Example Question #8 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many inches are in $6\ yards?$

Possible Answers:

246

200

216

232

304

Correct answer:

216

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{6\ yards}{x\ inches}$

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

$36\ inches\times 6\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 6\ yards}{1\ yard}= 216\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $216\ inches$

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Example Question #21 : How To Find A Proportion

How many inches are in $3\ yards?$

Possible Answers:

108

116

112

Correct answer:

108

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{3\ yards}{x\ inches}$

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

$36\ inches\times 3\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 3\ yards}{1\ yard}= 108\ inches$

The $\yards$ $\ yards$ will cancel and we are left with $108\ inches$

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Example Question #10 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many yards are in $396\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{396\ inches}$

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

$36\ inches\times x\ yards= 1\ yard \times 396\ inches$

$11\ yards= \frac{1\ yard \times 396\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $11\ yards$

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Common Core: 5th Grade Math : Measurement & Data

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

All Common Core: 5th Grade Math Resources

Example Questions

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

Example Question #2 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #1 : Measurement & Data

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

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

Example Question #6 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #7 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #8 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #21 : How To Find A Proportion

Example Question #10 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

All Common Core: 5th Grade Math Resources

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