Tag: operations involving units of length

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Questions Related to operations involving units of length

Multiple choice 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

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

  1. $40$ cm
  2. $4$cm
  3. $400$ cm
  4. $0.4$ cm
Reveal answer Fill a bubble to check yourself
A Correct answer
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.
Multiple choice 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

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

  1. $10750\ cm$
  2. $3750\ cm$
  3. $30750\ cm$
  4. $300750\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

Multiple choice 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

Convert the following into metres:
$1436\ cm$

  1. $1.436\ m$
  2. $14.36\ m$
  3. $143.6\ m$
  4. $1436\ m$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 

Multiple choice 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

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

  1. $44\ m$
  2. $4.4\ m$
  3. $8\ m$
  4. $80\ m$
Reveal answer Fill a bubble to check yourself
C Correct answer
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

Multiple choice 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

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

  1. $2.39\ cm$
  2. $23.9\ cm$
  3. $239\ cm$
  4. $2390\ cm$
Reveal answer Fill a bubble to check yourself
C Correct answer
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

Multiple choice 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

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

  1. $7000\ mm$
  2. $3400\ mm$
  3. $4300\ mm$
  4. $700\ mm$
Reveal answer Fill a bubble to check yourself
B Correct answer
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

Multiple choice 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

Convert $6045\ m$ into kilometres and metres.

  1. $6\ km\ 45\ m$
  2. $60\ km\ 45\ m$
  3. $6\ km\ 450\ m$
  4. $645\ km$
Reveal answer Fill a bubble to check yourself
A Correct answer
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

Multiple choice 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

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

  1. $40$ meters
  2. $400$ meters
  3. $4000$ meters
  4. $4$ meters
Reveal answer Fill a bubble to check yourself
C Correct answer
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 

Multiple choice 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

Convert $567\ mm$ into decimeters.

  1. $567\ dm$
  2. $56.7\ dm$
  3. $5.67\ dm$
  4. $0.567\ dm$
Reveal answer Fill a bubble to check yourself
C Correct answer
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

Multiple choice 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

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

  1. $384\ dm$
  2. $380.4\ dm$
  3. $420\ dm$
  4. $38.04\ dm$
Reveal answer Fill a bubble to check yourself
B Correct answer
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