Metric Conversion Problems Answers Metric Conversion Problems Problems


Solutions to Metric Conversions, Scientific Notation, and Significant Digits 

Metric Conversions

Convert the following.

 

1)  125 g to Kg

[125g][1 Kg  ]=
          [1000g]

1.25 x 10-1 Kg

 6) 26.9 dm3 to cm3

[26.9dm3][103cm3]=
                [ 13 dm3]

2.69 x 103 cm3

 11) 1.8mL to cm3

[ 1.8mL][1mL][1 cm3]=
         [103mL][1 mL]

 1.8 x 10-3 cm3   

 16) 4.8 lb to Kg

 [ 4.8 lb][   Kg]  =
            [2.2 lb]

   2.2 Kg

 21) 23C to K

  23C + 273=

          296 K
2) 21.3 Km to cm

[21.3 Km][105 cm  ]=
                 [    1 Km]

2.13 x 106 Kg

 

 7) 18.2 ml to cm3

[18.2 mL][1 cm3]=
             [   1 mL]

       1.82 x 101 mL

12) 2.45 L to mm3

[2.45L][ 103mL][1cm3]=
                    [1L][ 1 mL]

[2.45x103cm3][1012mm]=
                          [13 cm3]
2.45 x1015mm

 17) 1.2 m to inches

 [ 1.2 m][39.9 "]=
            [   1m ]

        47.9 "

 22) 180 C to K

 180 C+273=

          453 K 
3) 3.34 mm to cm

[3.34 mm][   1  cm  ]=
                 [ 10  mm]

   3.34 x 10-1 cm

 8) 728 nm to m

[728 nm][   1  m  ]=
               [109 nm]

      7.28 x 10-7 m

 13) 40.4 Km to cm

[40.4 Km][ 105 cm]=
                 [  1  Km]

   4.04 x 106 cm

 

 18) 27.4 Kg to lb

 [27.4 Kg][2.2 lb]  =
                [1 Kg ]

     6.03 x 101 lb

 23) 540K to C

  540K -273=

            267C 
4) 1.23 ml to L

 [1.23 mL][  1 L    ]=
                 [103mL]

     1.23 x 10-3 L

 9) 8.32 cg to mg

[8.32 cg][ 10 mg]=
               [    1 cg]

      8.32 x 101 mg

 14) 8.98 mg to g

  [8.98  mg][     1  g  ]=
                    [103 mg]

          8.98 x 10-3 g

 19) 0.25 lb to g

[0.25lb][Kg][103g]=
           [2.2 lb ][1 Kg]

        1.14 x 102 g      

 24) 5000K to C

  5000K-273=

            4727C
5) 47.5 cm3 to L

[47.5cm3][1mL][1L=
[1cm3][103mL]

         4.75 x 10-2 L

 

10) 4.978 Mg to dg

[4.978 Mg][ 107dg]=
                   [   1 Mg]

 4.978 x 107 dg

 15) 50.1 mm to Km

[50.1 mm][   1 Km]=
                 [106mm]

       5.01 x 10-5 Km

         

 

 

20) 6'4" to cm

[6'4"][1 m  ][100 cm]=
         [39.9 "][ 1 m    ]

         190 cm

 

25) 27C to K

  27C + 273 =

           300 K 

 

Significant Digits

Identify the number of significant digits in each of the following numbers.

 

303.642609

zeroes btwn nonzero
numbers count   -   9 digits

 

412500000

zeroes are place holders -
            4 digits

 

2.8970

zero indicates accuracy &
counts  -  5 digits

 

0.00200300

 1st 2 zeroes are placeholders remainder count  -  6 digits

 

200.1560

zeroes btwn nonzero
numbers count; last zero indicates accuracy -7 digits

 

9.0023

zeroes btwn nonzero
numbers count   -   5 digits

 

601020300

zeroes btwn nonzero
numbers count; last 2 zeroes placeholders -7 digits

 

230405600

 zeroes btwn nonzero
numbers count; last 2 zeroes placeholders -7 digits

 

3.45

non-zero numbers always count  -  3 digits

 

0.00438

zeroes are place holders -
            3 digits

 

4.505050

zeroes btwn nonzero
numbers count; last zero indicates accuracy -7 digits

 

 

63626.09

 zeroes btwn nonzero
numbers count   -   7 digits

 

Metric Conversion Problems