College Math – Measurement Chapter P.S. 9, “Convert English to metric, Part III”.
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Practice set 9, change each English unit of measure to the specified Metric unit of measure. In problem number two, they’re giving us
the English measurement 35 ounces and asking us to convert this mass or
weight into its equivalent metric quantity. If we go to the conversion factor table
in your book, third column we look under the category
of mass and weight the first identity there is the one
that we will need to solve this problem. What is given is 1 ounce being equivalent to 28.3 grams. We will start with what is given 35 ounces express it as a fraction. In this case will have a denominator
of 1, we’ll times it by 1 but a very special 1 our conversion factor fraction that
allows us to convert ounces to gram’s and the
arrangement of the identity that was given we will put the 1 ounce
in the denominator, so that the ounces cancel out when we multiply the
fractions and it means that we will put an equivalent value in the
numerator giving us this special 1. Simplifying
the fractions anytime you have something common in the
numerator and the denominator we cancel out, ounces over ounces, would give us 1. Simplifying the fraction we have
numerator values multiplied together gives us 990.5 The unit is in grams in the denominator
we have 1 dividing this number by 1 is not going
to change its value. So we have our first answer
the second part of two is asking is to convert our
answer thats in grams into kilograms, to do that we’ll look at
our prefixes for the metric. Grams is the base unit so are value is here at the gram’s, were
headed to the kilo prefix which is 1 powers of 10, two powers of 10, three powers of 10. Or 3 decimal place moves to the left on our current gram measurement. So we will take the
990.5 and move that decimal 1 to the left, 2 to the left, a total of
3 place values to the left to have an
equivalence in kilograms. So to answer our second
question we will answer .9905 kilograms. Problem number three is asking us to convert tablespoons into milliliters. This is going from
English to Metric we’ll refer to that third column on the
conversion table, and if we look under volume the second relationship here 1 tablespoon is equal
to 14.7 milliliters, is going to be the value that we need to solves this problem. Start with what is given 6.5 tablespoons expressed as a fraction, so we put a
denominater of 1, taking our factors that are equal to one another and putting them in
a fraction so that the tablespoons cancel out. Means the arrangement we’ll use is 14.7 milliliters over 1 tablespoon equal quantities over one another is equivalent to one, but
this conversion factor fraction is going to allow us to
convert from one unit to another. Common factors cancel out if in the numerator and the denominator
this leaves us with multiplication. In the numerator multiplying 6.5 by 14.7 gives us 95.55 the units are milliliters in the denominator we
have 1 1 times is 1 and when you take 95.5
divided by 1 we still have the same value.

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