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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.
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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} {}

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Practice set a

Read the following decimal fractions.

12.9

twelve and nine tenths

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4.86

four and eighty-six hundredths

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7.00002

seven and two hundred thousandths

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0.030405

thirty thousand four hundred five millionths

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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

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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

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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

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Seventeen hundredths.

The decimal position indicated is the hundredths position.

0.17

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Practice set b

Write each decimal fraction.

Three hundred six and forty-nine hundredths.

306.49

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Nine and four thousandths.

9.004

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Sixty-one millionths.

0.000061

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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

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

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

Hundred thousandths; ten millionths

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

55.06

fifty-five and six hundredths

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1.904

one and nine hundred four thousandths

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For the following 10 problems, write each decimal fraction.

Three and twenty one-hundredths.

3.20

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Fourteen and sixty seven-hundredths.

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One and eight tenths.

1.8

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Sixty-one and five tenths.

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Five hundred eleven and four thousandths.

511.004

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Thirty-three and twelve ten-thousandths.

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Nine hundred forty-seven thousandths.

0.947

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Seventy-one hundred-thousandths.

0.00071

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One and ten ten-millionths.

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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

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4 ÷ 10 size 12{4¸"10"} {}

four tenths

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4 ÷ 25 size 12{4¸"25"} {}

sixteen hundredths

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1 ÷ 50 size 12{1¸"50"} {}

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3 ÷ 16 size 12{3¸"16"} {}

one thousand eight hundred seventy-five ten thousandths

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15 ÷ 8 size 12{"15"¸8} {}

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11 ÷ 20 size 12{"11"¸"20"} {}

fifty-five hundredths

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9 ÷ 40 size 12{9¸"40"} {}

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Exercises for review

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

2610

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

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

12

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

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( [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} } } {}

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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