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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

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
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Can you all help me I don't get any of this
Jade Reply
4^×=9
Alberto Reply
Did anyone else have trouble getting in quiz link for linear inequalities?
Sireka Reply
operation of trinomial
Justin Reply
y=2×+9
Jacob Reply
Keshad gets paid $2,400 per month plus 6% of his sales. His brother earns $3,300 per month. For what amount of total sales will Keshad’s monthly pay be higher than his brother’s monthly pay?
Hector Reply
Mayra has $124 in her checking account. She writes a check for $152. What is the New Balance in her checking account?
REVOLUTION Reply
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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