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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

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
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Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
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Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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