1. Home
  2. Contemporary math applications
  3. Helpful topics
  4. Decimals
  5. Decimals: reading and writing

Decimals: reading and writing decimals  (Page 2/2)

<< Chapter < Page
  Contemporary math applications     Page 2 / 2
Chapter >> Page >

Sample set a

Read the following numbers.

6.8

6.8 is six and eight tenths. The 8 is in the tenths position.

Some people read this as "six point eight." This phrasing gets the message across, but technically, "six and eight tenths" is the correct phrasing.

14.116

14.116 is fourteen and one hundred sixteen thousandths. The six is in the thousandths position.

0.0019

0.0019 is nineteen ten thousandths. The nine is in the ten thousandths position.

81

Eighty-one

In this problem, the indication is that any whole number is a decimal fraction. Whole numbers are often called decimal numbers .

81 = 81 . 0 size 12{"81"="81" "." 0} {}

Practice set a

Read the following decimal fractions.

12.9

twelve and nine tenths

4.86

four and eighty-six hundredths

7.00002

seven and two hundred thousandths

0.030405

thirty thousand four hundred five millionths

Writing decimal fractions

Writing a decimal fraction

To write a decimal fraction,
  1. Write the whole number part.
  2. Write a decimal point for the word "and."
  3. Write the decimal part of the number so that the right-most digit appears in the position indicated in the word name. If necessary, insert zeros to the right of the decimal point in order that the right-most digit appears in the correct position.

Sample set b

Write each number.

Thirty-one and twelve hundredths.

The decimal position indicated is the hundredths position.

31.12

Two and three hundred-thousandths.

The decimal position indicated is the hundred thousandths. We'll need to insert enough zeros to the immediate right of the decimal point in order to locate the 3 in the correct position.

2.00003

Six thousand twenty-seven and one hundred four millionths.

The decimal position indicated is the millionths position. We'll need to insert enough zeros to the immediate right of the decimal point in order to locate the 4 in the correct position.

6,027.000104

Seventeen hundredths.

The decimal position indicated is the hundredths position.

0.17

Practice set b

Write each decimal fraction.

Three hundred six and forty-nine hundredths.

306.49

Nine and four thousandths.

9.004

Sixty-one millionths.

0.000061

Exercises

For the following three problems, give the decimal name of the posi­tion of the given number in each decimal fraction.

1. 3.941
9 is in the position.
4 is in the position.
1 is in the position.

Tenths; hundredths, thousandths

17.1085
1 is in the position.
0 is in the position.
8 is in the position.
5 is in the position.

652.3561927
9 is in the position.
7 is in the position.

Hundred thousandths; ten millionths

For the following 7 problems, read each decimal fraction by writing it.

9.2

8.1

eight and one tenth

10.15

55.06

fifty-five and six hundredths

0.78

1.904

one and nine hundred four thousandths

10.00011

For the following 10 problems, write each decimal fraction.

Three and twenty one-hundredths.

3.20

Fourteen and sixty seven-hundredths.

One and eight tenths.

1.8

Sixty-one and five tenths.

Five hundred eleven and four thousandths.

511.004

Thirty-three and twelve ten-thousandths.

Nine hundred forty-seven thousandths.

0.947

Two millionths.

Seventy-one hundred-thousandths.

0.00071

One and ten ten-millionths.

Calculator problems

For the following 10 problems, perform each division using a calculator. Then write the resulting decimal using words.

3 ÷ 4 size 12{3¸4} {}

seventy-five hundredths

1 ÷ 8 size 12{1¸8} {}

4 ÷ 10 size 12{4¸"10"} {}

four tenths

2 ÷ 5 size 12{2¸5} {}

4 ÷ 25 size 12{4¸"25"} {}

sixteen hundredths

1 ÷ 50 size 12{1¸"50"} {}

3 ÷ 16 size 12{3¸"16"} {}

one thousand eight hundred seventy-five ten thousandths

15 ÷ 8 size 12{"15"¸8} {}

11 ÷ 20 size 12{"11"¸"20"} {}

fifty-five hundredths

9 ÷ 40 size 12{9¸"40"} {}

Exercises for review

( [link] ) Round 2,614 to the nearest ten.

2610

( [link] ) Is 691,428,471 divisible by 3?

( [link] ) Determine the missing numerator.
3 14 = ? 56 size 12{ { {3} over {14} } = { {?} over {"56"} } } {}

12

( [link] ) Find 3 16 of 32 39 size 12{ { {3} over {"16"} } " of " { {"32"} over {"39"} } } {}

( [link] ) Find the value of 25 81 + 2 3 2 + 1 9 size 12{ sqrt { { {"25"} over {"81"} } } + left ( { {2} over {3} } right ) rSup { size 8{2} } + { {1} over {9} } } {}

10 9   or   1 1 9 size 12{ { {"10"} over {9} } " or "1 { {1} over {9} } } {}

Questions & Answers

how to study physic and understand
Ewa Reply
what is conservative force with examples
Moses
what is work
Fredrick Reply
the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement
AI-Robot
why is it from light to gravity
Esther Reply
difference between model and theory
Esther
Is the ship moving at a constant velocity?
Kamogelo Reply
The full note of modern physics
aluet Reply
introduction to applications of nuclear physics
aluet Reply
the explanation is not in full details
Moses Reply
I need more explanation or all about kinematics
Moses
yes
zephaniah
I need more explanation or all about nuclear physics
aluet
Show that the equal masses particles emarge from collision at right angle by making explicit used of fact that momentum is a vector quantity
Muhammad Reply
yh
Isaac
A wave is described by the function D(x,t)=(1.6cm) sin[(1.2cm^-1(x+6.8cm/st] what are:a.Amplitude b. wavelength c. wave number d. frequency e. period f. velocity of speed.
Majok Reply
what is frontier of physics
Somto Reply
A body is projected upward at an angle 45° 18minutes with the horizontal with an initial speed of 40km per second. In hoe many seconds will the body reach the ground then how far from the point of projection will it strike. At what angle will the horizontal will strike
Gufraan Reply
Suppose hydrogen and oxygen are diffusing through air. A small amount of each is released simultaneously. How much time passes before the hydrogen is 1.00 s ahead of the oxygen? Such differences in arrival times are used as an analytical tool in gas chromatography.
Ezekiel Reply
please explain
Samuel
what's the definition of physics
Mobolaji Reply
what is physics
Nangun Reply
the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon
AI-Robot
what is isotopes
Nangun Reply
nuclei having the same Z and different N s
AI-Robot
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
<< Chapter < Page Page > Chapter >>

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Contemporary math applications' conversation and receive update notifications?

Ask