<< Chapter < Page Chapter >> Page >

Write a decimal number from its name.

  1. Look for the word “and”—it locates the decimal point.
  2. Mark the number of decimal places needed to the right of the decimal point by noting the place value indicated by the last word.
    • Place a decimal point under the word “and.” Translate the words before “and” into the whole number and place it to the left of the decimal point.
    • If there is no “and,” write a “0” with a decimal point to its right.
  3. Translate the words after “and” into the number to the right of the decimal point. Write the number in the spaces—putting the final digit in the last place.
  4. Fill in zeros for place holders as needed.

If there is no whole number, we write a 0 to the left of the decimal point as a placeholder. So we would write "nine tenths" as 0.9.

Write twenty-four thousandths as a decimal.

Solution

twenty-four thousandths
Look for the word "and". There is no "and" so start with 0
0.
To the right of the decimal point, put three decimal places for thousandths. .
Write the number 24 with the 4 in the thousandths place. .
Put zeros as placeholders in the remaining decimal places. 0.024
So, twenty-four thousandths is written 0.024
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Write as a decimal: fifty-eight thousandths.

0.058

Got questions? Get instant answers now!

Write as a decimal: sixty-seven thousandths.

0.067

Got questions? Get instant answers now!

Before we move on to our next objective, think about money again. We know that $1 is the same as $1.00 . The way we write $1 ( or $1.00 ) depends on the context. In the same way, integers can be written as decimals with as many zeros as needed to the right of the decimal.

5 = 5.0 −2 = −2.0 5 = 5.00 −2 = −2.00 5 = 5.000 −2 = −2.000
and so on…

Convert decimals to fractions or mixed numbers

We often need to rewrite decimals as fractions or mixed numbers. Let’s go back to our lunch order to see how we can convert decimal numbers to fractions. We know that $5.03 means 5 dollars and 3 cents. Since there are 100 cents in one dollar, 3 cents means 3 100 of a dollar, so 0.03 = 3 100 .

We convert decimals to fractions by identifying the place value of the farthest right digit. In the decimal 0.03 , the 3 is in the hundredths place, so 100 is the denominator of the fraction equivalent to 0.03 .

0.03 = 3 100

For our $5.03 lunch, we can write the decimal 5.03 as a mixed number.

5.03 = 5 3 100

Notice that when the number to the left of the decimal is zero, we get a proper fraction. When the number to the left of the decimal is not zero, we get a mixed number.

Convert a decimal number to a fraction or mixed number.

  1. Look at the number to the left of the decimal.
    • If it is zero, the decimal converts to a proper fraction.
    • If it is not zero, the decimal converts to a mixed number.
      • Write the whole number.
  2. Determine the place value of the final digit.
  3. Write the fraction.
    • numerator—the ‘numbers’ to the right of the decimal point
    • denominator—the place value corresponding to the final digit
  4. Simplify the fraction, if possible.

Write each of the following decimal numbers as a fraction or a mixed number:

4.09 3.7 −0.286

Solution

4.09
There is a 4 to the left of the decimal point.
Write "4" as the whole number part of the mixed number.
.
Determine the place value of the final digit. .
Write the fraction.
Write 9 in the numerator as it is the number to the right of the decimal point.
.
Write 100 in the denominator as the place value of the final digit, 9, is hundredth. .
The fraction is in simplest form. .

Did you notice that the number of zeros in the denominator is the same as the number of decimal places?

3.7
There is a 3 to the left of the decimal point.
Write "3" as the whole number part of the mixed number.
.
Determine the place value of the final digit. .
Write the fraction.
Write 7 in the numerator as it is the number to the right of the decimal point.
.
Write 10 in the denominator as the place value of the final digit, 7, is tenths. .
The fraction is in simplest form. .

−0.286
There is a 0 to the left of the decimal point.
Write a negative sign before the fraction.
.
Determine the place value of the final digit and write it in the denominator. .
Write the fraction.
Write 286 in the numerator as it is the number to the right of the decimal point.
.
Write 1,000 in the denominator as the place value of the final digit, 6, is thousandths.
We remove a common factor of 2 to simplify the fraction. .

Got questions? Get instant answers now!
Got questions? Get instant answers now!

Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
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?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
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?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
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?
s. Reply
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
Devang Reply
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
Abhijith Reply
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?
s. Reply
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 ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
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
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.
Kimberly Reply
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.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
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)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
Practice Key Terms 1

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Prealgebra' conversation and receive update notifications?

Ask