Decimals Worksheets Page 2

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Symbol
Multiplication
Factor
or Place-Value
kilo-
hecto-
deka-
Basic unit
deci-
centi-
milli-
(no prefix)
k
h
da
m, I, g
d
c
m
1,000
100
10
1
0.1
0.01
0.001
51 Units
The following prefixes in the SI system indicate the multiplication factor to be used with the basic unit. For
example, the prefix kilo- is a factor of 1,000. A kilometer is equal to 1,000 meters, and a kilogram is equal to
1,000 grams.
Prefix
1.
How many centigrams are there in 24 grams?
a.
Restate the question: 24 grams
=
centigrams
b.
Use the place value chart to determine the multiplication factor, and solve:
kilo
hecto
deka
meter, liter, or gram
deci
centi
milli
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
Since we want to convert grams (ones place) to centigrams
(hundredths place), count the number of places on the chart
it takes to move from the ones place to get to the hundredths
place. Since it takes 2 moves to the right, the multiplication
factor is 100.
Solution: multiply 24 x 100
=
2,400.
Answer: There are 2,400 centigrams in 24 grams.
2.
How many liters are there in 5,000 deciliters?
a.
Restate the question: 5,000 deciliters (dl)
=
24.00
X
100
=
24.0.0.
=
2,400
vv
move decimal two
places to the right
move decimal one
place to the left
____
liters (l)?
b.
Use the place value chart to determine the multiplication factor, and solve:
Since we want to convert deciliters (tenths place) to liters (ones
place), count the number of places on the chart it takes to move
from the ones place to get to the hundredths place. Since it
takes 1 move to the left, the multiplication factor is 0.1.
Solution: multiply 5,000 x 0.1
=
500.
Answer: There are 500 liters in 5,000 deciliters.
5,000
X
0.1 = 500.0. = 500
IV
3.
How many decimeters are in a dekameter?
a.
Restate the question: 1 dam
=
dm.
b.
Use the place value chart to determine the multiplication factor, and solve:
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