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Name and Write Decimals

In the following exercises, write as a decimal.

Twenty-nine and eighty-one hundredths

29.81

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Sixty-one and seventy-four hundredths

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Twenty-nine thousandth

0.029

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Negative eleven and nine ten-thousandths

−11.0009

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Negative fifty-nine and two ten-thousandths

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In the following exercises, name each decimal.

5.5

five and five tenths

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8.71

eight and seventy-one hundredths

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17 .9

negative seventeen and nine tenths

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Round Decimals

In the following exercises, round each number to the nearest tenth.

In the following exercises, round each number to the nearest hundredth.

In the following exercises, round each number to the nearest hundredth tenth whole number.

5.781

5.78 5.8 6

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63.479

63.48 63.5 63

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Add and Subtract Decimals

In the following exercises, add or subtract.

−16.53 24.38

−40.91

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−38.69 + 31.47

−7.22

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91.95 ( −10.462 )

102.212

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Multiply and Divide Decimals

In the following exercises, multiply.

( −4.3 ) ( 2.71 )

−11.653

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( −5.18 ) ( −65.23 )

337.8914

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( −9.16 ) ( −68.34 )

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( 0.06 ) ( 21.75 )

1.305

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( 55.2 ) ( 1000 )

55,200

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In the following exercises, divide.

1.44 ÷ ( −0.3 )

−4.8

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−1.75 ÷ ( −0.05 )

35

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Convert Decimals, Fractions and Percents

In the following exercises, write each decimal as a fraction.

In the following exercises, convert each fraction to a decimal.

In the following exercises, convert each percent to a decimal.

In the following exercises, convert each decimal to a percent.

Everyday math

Salary Increase Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest
dollar
thousand dollars
ten thousand dollars.

$58,966 $59,000 $60,000

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New Car Purchase Selena’s new car cost $23,795.95. Round this number to the nearest
dollar
thousand dollars
ten thousand dollars.

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Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $1,624.99 and when the clerk calculated the sales tax it came out to exactly $142.186625. Round the sales tax to the nearest
penny and
dollar.

$142.19; $142

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Sales Tax Jennifer bought a $1,038.99 dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $67.53435. Round the sales tax to the nearest
penny and
dollar.

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Paycheck Annie has two jobs. She gets paid $14.04 per hour for tutoring at City College and $8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours.
How much did she earn?
If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have earned?

$243.57 $79.35

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Paycheck Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and $20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery.
How much did he earn?
If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?

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Writing exercises

How does knowing about US money help you learn about decimals?

Answers may vary

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Explain how you write “three and nine hundredths” as a decimal.

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Without solving the problem “44 is 80% of what number” think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.

Answers may vary

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When the Szetos sold their home, the selling price was 500% of what they had paid for the house 30 years ago. Explain what 500% means in this context.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

This is a table that has six rows and four columns. In the first row, which is a header row, the cells read from left to right “I can…,” “Confidently,” “With some help,” and “No-I don’t get it!” The first column below “I can…” reads “name and write decimals,” “round decimals,” “add and subtract decimals,” “multiply and divide decimals,” and “convert decimals, fractions and percents.” The rest of the cells are blank.

What does this checklist tell you about your mastery of this section? What steps will you take to improve?

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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Practice Key Terms 3

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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