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.