Tag: operations involving units of length

Questions Related to operations involving units of length

Rosy measured a line for his art project. It is $400$ millimeters long. How many centimeters is the line?

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $40$ cm

  2. $4$cm

  3. $400$ cm

  4. $0.4$ cm

Show answer
Correct Option: A
Explanation:
The total length of the line is $400$ mm.
We know $1$  $\text{centimeter} =10$ $\text{millimeters}$
$1$ mm $=\dfrac1{10}$ cm
We have to convert the $400$ mm to cm.
$400$ mm $ =\dfrac1{10} \times 400$ cm
$=\dfrac{400}{10}   $ cm
$= 40  $   $\text{centimeter}$
The line is  $40$ cm long.
So, option A is correct.

Convert $3\ km\ 4\ m\ 350\ cm$ into centimetres.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $10750\ cm$

  2. $3750\ cm$

  3. $30750\ cm$

  4. $300750\ cm$

Show answer
Correct Option: D
Explanation:

We know that, $1$  $kilometer =1000$  $m$


$1$  $meter =100$  $cm$ or   $1$  $kilometer =100,000$  $cm$

To convert  $3$ $km$ $4m$  $350$  $cm$  to  $centimeter$

$3$ $km$ $4\ m$ $350$ $cm$ $ =3km+ 4m + 350cm$

$3$ $km = 100000 \times 3$  $cm$ $= 300000$  $cm$

$4$ $m = 100 \times 4$  $cm$ $= 400$  $cm$

$\therefore 3$ $km$  $4m$ $350$  $cm$ $ =3km+ 4m + 350cm  =   (300000+400+350)  cm$
                                      $ = 300750cm$

Hence, option $D$ is correct.

Convert the following into metres:
$1436\ cm$

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $1.436\ m$

  2. $14.36\ m$

  3. $143.6\ m$

  4. $1436\ m$

Show answer
Correct Option: B
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $cm =\dfrac1{100}$  $m$

Given That , we have to convert $1436$  $cm$ into $m$

$1436$  $cm =\dfrac{1}{100} \times 1436$  $m$

                $=14.36$  $m$

So, Option $B $ is correct 

Convert $4000\ mm\ 400\ cm$ into meters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $44\ m$

  2. $4.4\ m$

  3. $8\ m$

  4. $80\ m$

Show answer
Correct Option: C
Explanation:

We know that, $1$  $centimeter =10$  $mm$, $1$  $meter =100$  $cm$

$1$  $meter =1000$  $mm$ or   $1$  $mm =\dfrac{1}{10}$  $cm$ or   $1$  $mm =\dfrac{1}{1000}$  $m$

To convert  $4000$ $mm$ $400$  $cm$  to  $meters$

$4000mm$ $400$  $cm$ $ = 4000mm + 400cm$

Now, $4000$ $mm =\dfrac{1}{1000} \times 4000$  $m$ $= 4$  $m$
$400$ $cm =\dfrac{1}{100} \times 4 00$ $m$ $= 4$ $m$


$4000mm$ $400$ $cm$ $ = 4000mm + 400cm  =   (4+4)  m$

                                $ = 8$  $m$

So, Option $C$ is correct

Convert $23\ dm\ 9\ cm$ into centimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $2.39\ cm$

  2. $23.9\ cm$

  3. $239\ cm$

  4. $2390\ cm$

Show answer
Correct Option: C
Explanation:

We know that, $1$  $meter =100$  $cm$, $1$  $decimeter =10$  $centi meter$


To convert  $23$ $dm$  $9$  $cm$  to  $centimeter$
Now, $23$ $dm = 23 \times 10$  $cm$ $= 230$  $centimeter$

$23$ $dm$  $9$  $cm$ $ = 23dm + 9cm$
                         $ = 230cm + 9cm$
                         $ = 239cm$

So, Option $C$ is correct

Convert $3\ m\ 40\ cm$ into millimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $7000\ mm$

  2. $3400\ mm$

  3. $4300\ mm$

  4. $700\ mm$

Show answer
Correct Option: B
Explanation:

We know that


$1$  $meter =100$  $cm$

$1$  $centimeter =10$  $milli meter$

$1$  $ meter =1000$  $mm$


Given That, we have to convert  $3$ $m$  $40$  $cm$  to  $millimeter$


$40$ $cm = 10 \times 40$  $mm$

               $= 400$  $millimeter$
And 

$3$ $m = 1000 \times 3$  $mm$

               $= 3000$  $millimeter$

$3$ $m$  $40$  $cm$ $ = 3m + 40cm$


                   $ = 3000mm + 400mm$
                   $ = 3400mm$

So, Option $B$ is correct

Convert $6045\ m$ into kilometres and metres.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $6\ km\ 45\ m$

  2. $60\ km\ 45\ m$

  3. $6\ km\ 450\ m$

  4. $645\ km$

Show answer
Correct Option: A
Explanation:

We know that


$1$  $kilo meter =1000$  $m$

$1$  $m =\dfrac1{1000}$  $km$

Given That, we have to convert $6045$  $m$  to   $kilometer$

$6045$  $m =\dfrac1{1000} \times 6045$  $km$

                $=\dfrac{6045}{1000}   $  $km$

                 $= 6.045$  $kilo meter$

or    $= 6$  $km$  $45 $ $m$

So, Option $A$ is correct

Jessica walks $2\ km$ a day. How many meters does she walk in two days ?

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $40$ meters

  2. $400$ meters

  3. $4000$ meters

  4. $4$ meters

Show answer
Correct Option: C
Explanation:

given that 

Jessica walks $2 km$ a day.
Total distance travelled by Jessica in TWO days  is $2 \times 2 =4km$



We know that

$1$  $kilometer =1000$  $m$

$1$  $m =\dfrac1{1000}$  $km$

Given That, we have to convert $4$  $km$ into $m$

$4$  $km =4 \times 1000$  $m$

                $=4000$  $m$

So, Option $C $ is correct 

Convert $567\ mm$ into decimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $567\ dm$

  2. $56.7\ dm$

  3. $5.67\ dm$

  4. $0.567\ dm$

Show answer
Correct Option: C
Explanation:

We know that


$1$  $deci meter =10$  $cm$

$1$  $centimeter =10$  $milli meter$

$1$  $deci meter =100$  $mm$

$1$  $mm =\dfrac1{100}$  $dm$

Given That, we have to convert $567$  $mm$  to  $decimeter$

$567$ $cm =\dfrac1{100} \times 567$  $dm$

                $=\dfrac{567}{100}   $  $dm$

                 $= 5.67$  $deci meter$


So, Option $C$ is correct

Convert $4\ cm\  38\ m$ into decimeters.

maths problems on measurement basic operations with same units operations involving units of length calculations choosing and converting between units conversion between different units conversion between units

  1. $384\ dm$

  2. $380.4\ dm$

  3. $420\ dm$

  4. $38.04\ dm$

Show answer
Correct Option: B
Explanation:

We know that, $1$ $decimeter =10$ $cm$, $1$  $meter =10$  $dm$ or $1$  $centimeter =\dfrac{1}{10}$  $dm$

To convert  $4$ $cm$ $38$  $m$  to  $decimeter$

$4\ cm$ $38$ $m$ $ = 4cm + 38m$
Now, $38$ $m = 10 \times 38$  $dm$ $= 380$  $dm$
$4$ $cm =\dfrac{1}{10} \times 4$ $dm$ $= 0.4$  $dm$


$4\ cm$ $38$ $m$ $ = 4cm + 38m  =   (0.4+380)  dm$ $ = 380.4 $  $dm$


So, Option $B$ is correct