# 7.5 Systems of measurement  (Page 3/10)

 Page 3 / 10

How many cups are in $1$ gallon?

16 cups

How many teaspoons are in $1$ cup?

48 teaspoons

## Use mixed units of measurement in the u.s. system

Performing arithmetic operations on measurements with mixed units of measures requires care. Be sure to add or subtract like units.

Charlie bought three steaks for a barbecue. Their weights were $14$ ounces, $1$ pound $2$ ounces, and $1$ pound $6$ ounces. How many total pounds of steak did he buy?

## Solution

We will add the weights of the steaks to find the total weight of the steaks.

 Add the ounces. Then add the pounds. Convert 22 ounces to pounds and ounces. Add the pounds. 2 pounds + 1 pound, 6 ounces 3 pounds, 6 ounces Charlie bought 3 pounds 6 ounces of steak.

Laura gave birth to triplets weighing $3$ pounds $12$ ounces, $3$ pounds $3$ ounces, and $2$ pounds $9$ ounces. What was the total birth weight of the three babies?

9 lbs. 8 oz

Seymour cut two pieces of crown molding for his family room that were $8$ feet $7$ inches and $12$ feet $11$ inches. What was the total length of the molding?

21 ft. 6 in.

Anthony bought four planks of wood that were each $6$ feet $4$ inches long. If the four planks are placed end-to-end, what is the total length of the wood? ## Solution

We will multiply the length of one plank by $4$ to find the total length.

 Multiply the inches and then the feet. Convert 16 inches to feet. 24 feet + 1 foot 4 inches Add the feet. 25 feet 4 inches Anthony bought 25 feet 4 inches of wood.

Henri wants to triple his spaghetti sauce recipe, which calls for $1$ pound $8$ ounces of ground turkey. How many pounds of ground turkey will he need?

4 lbs. 8 oz.

Joellen wants to double a solution of $5$ gallons $3$ quarts. How many gallons of solution will she have in all?

11 gal. 2 qts.

## Make unit conversions in the metric system

In the metric system, units are related by powers of $10.$ The root words of their names reflect this relation. For example, the basic unit for measuring length is a meter. One kilometer is $1000$ meters; the prefix kilo- means thousand. One centimeter is $\frac{1}{100}$ of a meter, because the prefix centi- means one one-hundredth (just like one cent is $\frac{1}{100}$ of one dollar).

The equivalencies of measurements in the metric system are shown in [link] . The common abbreviations for each measurement are given in parentheses.

Metric Measurements
Length Mass Volume/Capacity
$1$ kilometer (km) = $1000$ m
$1$ hectometer (hm) = $100$ m
$1$ dekameter (dam) = $10$ m
$1$ meter (m) = $1$ m
$1$ decimeter (dm) = $0.1$ m
$1$ centimeter (cm) = $0.01$ m
$1$ millimeter (mm) = $0.001$ m
$1$ kilogram (kg) = $1000$ g
$1$ hectogram (hg) = $100$ g
$1$ dekagram (dag) = $10$ g
$1$ gram (g) = $1$ g
$1$ decigram (dg) = $0.1$ g
$1$ centigram (cg) = $0.01$ g
$1$ milligram (mg) = $0.001$ g
$1$ kiloliter (kL) = $1000$ L
$1$ hectoliter (hL) = $100$ L
$1$ dekaliter (daL) = $10$ L
$1$ liter (L) = $1$ L
$1$ deciliter (dL) = $0.1$ L
$1$ centiliter (cL) = $0.01$ L
$1$ milliliter (mL) = $0.001$ L
$1$ meter = $100$ centimeters
$1$ meter = $1000$ millimeters
$1$ gram = $100$ centigrams
$1$ gram = $1000$ milligrams
$1$ liter = $100$ centiliters
$1$ liter = $1000$ milliliters

To make conversions in the metric system, we will use the same technique we did in the U.S. system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?  By By   By   By By