Use a unit fraction with either conversion
to convert the units.
Round to the 100ths place value.
We are given one ounce is approximately 28.350 grams
and one gram is approximately 0.0353 ounces.
We will show both conversions in this video.
In the first example,
we're asked to convert 12 ounces to grams.
The first step is to write 12 ounces
as a fraction with a denominator of one.
To perform the conversion,
we will multiply by a unit fraction.
The important thing to recognize here
is that, because we have ounces
in the numerator, and we want ounces
to simplify out for the unit fraction,
the ounces must be in the denominator
and therefore the grams must be in the numerator.
Now, using the first conversion
of one ounce is approximately 28.350 grams,
one possible unit fraction is 28.350
grams over one ounce.
Using the conversion of one gram is approximately 0.0353
ounces, another possible unit fraction
would be one gram, or 0.0353
ounces.
Before multiplying, notice how in both cases we have
ounces divided by ounces. and therefore the units
of ounces simplify out, leaving us with grams.
And now, let's determine the products.
Multiplying here, notice how we have the denominator
of one, and therefore, the product is just 12 times
28.350,
and the units are now grams.
Here, we have 12
divided by 0.0353
and again the units are grams.
And now, let's go to the calculator and determine
this product as well as the quotient.
And again, we are told to round to the 100ths place
value, or two decimal places.
Notice how the product is 340.2 grams, and the quotient
is 339.94 grams, rounding to the 100ths place value.
Notice there is a slight difference
because these conversions are approximations.
But, the homework system will take either conversion.
I'm going to go ahead and enter approximately 340.2 grams.
And now, we want to convert 320 grams to ounces.
And again, let's show both conversions.
We first write 320 grams
as a fraction with a denominator of one.
Now, we multiply by a unit fraction
to perform the conversion.
In this case, because you want grams to simplify out,
and we have grams in the numerator here,
grams must be in the denominator of the unit fraction,
and therefore ounces will be in the numerator.
Using the first conversion of one ounce
is approximately 28.350 grams,
one possible unit fraction
is one ounce over 28.340 grams.
Using the second conversion,
a possible unit fraction would be 0.0353
ounces over one gram.
And now, before multiplying, notice how in both cases
we have grams divided by grams,
and therefore the units of gram simplify out,
leaving us with ounces.
In this first product, we have 320
divided by 28.350
ounces,
and in the second product, we have 320 times 0.0353
ounces.
And now, let's go back to the calculator.
Rounding to the 100ths place value,
notice how the quotient is approximately 11.29 ounces.
Because we have a seven
and a third decimal place, you round up.
And then, for the product, because we have a six
in the third decimal place you round up.
Because we have a nine to the left, this rounds to 11.30.
So, we have approximately 11.29 ounces, and 11.30 ounces.
And again, the system will accept either conversion.
I'm going to go ahead and enter 11.29 ounces.
I hope you found this helpful.