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

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

Questions 1 - 10

1

How many are in $15\ feet?$

Explanation

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{15\ feet}{x\ inches}$

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

$12\ inches\times 15\ feet= 1\ foot \times x\ inches$

$\frac{12\ inches\times 15\ feet}{1\ foot}= 180\ inches$

The $\yards$ $\ feet$ will cancel and we are left with $180\ inches$

2

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

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

$130\textup { centimeters}$

$1.3\textup{ centimeters}$

$.0013\textup { centimeters}$

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

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

3

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.)

$10\ m^2$

$1000\ m^2$

$1000\ cm^2$

$10\ m$

$20\ m^2$

Explanation

4

How many are in $72\ inches?$

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 $6\ feet$

5

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

$.03\textup { meters}$

$3\textup { meters}$

$.003\textup { meters}$

$30\textup { meters}$

$300\textup { meters}$

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

6

How many are in $7\ feet?$

Explanation

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{7\ feet}{x\ inches}$

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

$12\ inches\times 7\ feet= 1\ foot \times x\ inches$

$\frac{12\ inches\times 7\ feet}{1\ foot}= 84\ inches$

The $\yards$ $\ feet$ will cancel and we are left with $84\ inches$

7

How many are in $144\ inches?$

Explanation

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{144\ inches}$

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

$36\ inches\times x\ yards= 1\ yard \times 144\ inches$

$4\ yards= \frac{1\ yard \times 144\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $4\ yards$

8

How many are in $180\ inches?$

Explanation

To solve this problem we can make proportions.

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

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{180\ inches}$

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

$36\ inches\times x\ yards= 1\ yard \times 180\ inches$

$5\ yards= \frac{1\ yard \times 180\ inches}{36\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $5\ yards$

9

How many are in $396\ inches?$

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 $11\ yards$

10

How many are in $108\ inches?$

Explanation

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{108\ inches}$

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

$12\ inches\times x\ feet= 1\ foot \times 108\ inches$

$9\ feet= \frac{1\ foot \times 108\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $9\ feet$

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