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Unit Conversion Word Problems - Page 15

Unit Conversion Word Problems
  • Page 15
 141.  
Choose the unit of mass that best fills the blank in the given expression.
4.87 grams = 4.87000 ___
a.
Kilogram
b.
Decagram
c.
Milligram
d.
Gram


Solution:

4.87 g = 4.87000 ___
[Original expression.]

4.87 = 4.87000
[Since zero after the decimal has no significance.]

So 4.87 g = 4.87000 g

The unit of mass that best fills in the blank is gram.


Correct answer : (4)
 142.  
Find the value of p in the expression 556.2 kL = p mL.
a.
5562000
b.
556200
c.
556200000
d.
55620000


Solution:

556.2 kL = p mL
[Original expression.]

1 kL = 1000000 mL
[Formula.]

556.2 kL = (556.2 x 1000000) mL
[Use the above formula to convert kL to mL.]

= 556200000 mL
[Simplify.]

p = 556200000.


Correct answer : (3)
 143.  
Find the value of c in the expression c L = 3.29 kL.
a.
32.90
b.
32900
c.
329
d.
3290


Solution:

c L = 3.29 kL
[Original expression.]

1 kL = 1000 L
[Kiloleters in terms of liters.]

3.29 kL = (3.29 x 1000) L
[Convert kiloleters into liters.]

= 3290 L
[Simplify.]

So, c = 3290.


Correct answer : (4)
 144.  
Find the value of j in the expression 76.81 mL = j L.
a.
7.681
b.
768.1
c.
0.07681
d.
0.7681


Solution:

76.81 mL =j L
[Original expression.]

1 mL = 0.001 L
[mL in terms of L.]

76.81 mL = (76.81 x 0.001) L
[Convert mL to L .]

=0.07681 L
[Simplify.]

j = 0.07681.


Correct answer : (3)
 145.  
Which unit of capacity best fills the blank in the expression? 0.008 L = 8___
a.
liters
b.
deciliters
c.
milliliters
d.
kiloliters


Solution:

0.008 L = 8 ___
[Original expression.]

0.008 L = 0.008 × 1000 ___
[Split the expression.]

1 L = 1000 mL
[L in terms of mL.]

0.008 L = 0.008 × 1000 mL = 8 mL
[Convert L to mL.]

So, 0.008 L = 8 milliliters.


Correct answer : (3)
 146.  
Which unit of capacity best fills the blank in the expression?
0.000003 kL = 0.003 ___
a.
Milliliters
b.
Liters
c.
Kiloliters
d.
Deciliters


Solution:

0.000003 kL = 0.003 ___
[Original expression.]

0.000003 kL = 0.000003 x 1000 ___
[Split the expression.]

1 kL = 1000 L
[kL in terms of L.]

0.000003 kL = (0.000003 x 1000) L
[Convert kL to L.]

= 0.003 L
[Simplify.]

Since 0.000003 kL = 0.003 L, the unit of capacity that best fills the blank of the expression is liters.


Correct answer : (2)
 147.  
How many minutes are there in 5 h 50 min?
a.
320 min
b.
350 min
c.
330 min
d.
380 min


Solution:

1 h = 60 min

5h = 5 x 60 = 300 min
[Simplify.]

= 300 min + 50 min
5 h 50 min
[Substitute 5h = 300 min.]

= 350 min

So, 5 h 50 min is 350 min.


Correct answer : (2)
 148.  
How many seconds are there in 5 h 50 min?
a.
21000
b.
350
c.
360
d.
21400


Solution:

5 h = 5 x 60 min
[One hour = 60 minutes.]

= 5 x 60 x 60 s
[One minute = 60 seconds.]

= 18000 s
[Simplify.]

50 min = 50 x 60 s

= 3000 s
[Multiply.]

= 18000 + 3000 s
So, 5 h 50 min

= 21000 s


Correct answer : (1)
 149.  
What is the standard unit of measure for a liquid?
a.
gram
b.
milligram
c.
liter
d.
kilogram


Solution:

Liquids are measured by units of capacity.

The standard unit of capacity is the liter (L).


Correct answer : (3)
 150.  
Choose the standard unit of mass.
a.
kiloliter
b.
gram
c.
liter
d.
Both liter and gram


Solution:

The amount of matter in an object is measured by mass.

The standard unit of mass is the gram (g).


Correct answer : (2)

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