In a certain town hard coal costs $7.25 a ton during April. The price then rises 10 cents a ton on the first day of each following month for 5 months, and remains at this figure until the first day of the next April. 1. What does coal cost per ton in this town during May? During June? During July? August? September? October? November? December? January? February? March? 2. If a man buys hard coal in April what must he pay for 2 tons? For 3 tons? For 5 tons? For 6 tons? For 8 tons? 3. How much must a man pay for 3 tons of coal, if he buys it some time in May? In June? In July? August? September? October? December? December? January? February? 4. How many tons of hard coal could a man buy during April for $14.50? For $29? For $58? For $72.25? For $87? 5. How many tons of hard coal could a man buy during May for $14.70? For $29.40? For $44.10? For $88.20? For $58.80? For $132.80? 6. The retail dealer pays $1 less the coal for to the people who use it. pay for 1 car load of 40 tons in April? In December? per ton than he sells How much must he In May? In June? 7. The retail dealer bears whatever loss occurs while the car is being brought from the mines. How much does he make on the carload of 40 tons, weighed at the mines, if the car actually contained only 38 tons when it reached him? 8. How much money does a man save who invests in 10 tons of coal in April to be burned in July? In October? In November? WRITING DECIMALS 327 1. What part of a dollar is 50¢? 25¢? 10¢? 1¢? 2. How do you write 1¢ as a fraction of a dollar? How do you write it with the dollar sign ($)? 3. How do you write 10¢ as a fraction of a dollar? With the dollar sign? 4. How do you write 25¢ as a fraction of a dollar? With the dollar sign? 50¢ as a fraction of a dollar? .With the dollar sign? 5. Write as hundredths (100ths) of a dollar: $.01 $.07 $.15 $.25 $.39 $.75 $.87 6. Write the following as 100ths, and as tenths (10ths) of a dollar: $.10 $.30 $.50 $.70 $1.10 $1.50 $2.60 The period used between the figures in writing dollars and cents is called the decimal point. 7. Write each of the following as a common fractional part of a dollar, and also as a decimal part of a dollar: 16; 10; 25; 50¢; 75¢; 120¢; 150¢. Numbers when written with the decimal point are read exactly as when written as fractions. 180 of a dollar is read three-hundredths of a dollar. .03 of a dollar is read three-hundredths of a dollar. 25% of a dollar is read twenty-five-hundredths of a dollar. 100 .25 of a dollar is read twenty-five-hundredths of a dollar. of a dollar is read five-tenths of a dollar. .5 of a dollar is read five-tenths of a dollar. 8. Read the following numbers as parts of a dollar: .05 .18 .45 .06 .23 .75 .3 .02 .6 .72 .93 .15 .8 .9 .44 .12 9. Write each of the decimal fractions in problem 8 in the form of a common fraction. A 1. What part of the rectangle, A, is shaded? Not shaded? 2. Show from A how many tenths (10ths) there are in In . In. In . In . In . In §. 3. Write these fractions as 10ths: 4. What part of the square, B, is shaded? Not shaded? 5. Show from B how many hundredths (100ths) there are in 1. In . In 2. In 1. In 2. 6. Show how many 100ths there are in 7. Write as 100ths: Another way of writing, 3 5 . %. . §. 4. §. # ÷ ÷ Fo o, fo, is .2, .3, .5. 25 45 75 Another way of writing 100, .25, 45, .75, and so forth. 100, 100, and so forth, is When 10ths, or 100ths are written in the second way they are called decimal fractions, or decimals. The fractions are said to be written decimally. The decimal, .7, is read "7 tenths," and .37 is read "37 hundredths." 8. Write the following fractions decimally, and then read them: 10% 100 100 100 100 50 66 78 97 100 9. Write the following decimals as common fractions, and then read them: 4 .9 .13 .18 .26 .48 .67 .50 .25 .79 .86 COMMON AND DECIMAL FRACTIONS 329 1. of the square, B, (page 328) equals how many 100ths of B? 33 hundredths is written .33. 2. of the square, B, equals how many 100ths of B? 3. Write 66 hundredths without the word, hundredths. 4. How many 100ths of B equals of B? of B? of B? of B? } of B? 5. Write the following common fractions as decimals: 6. of the square, C (page 328), equals how many 100ths of C? 7. of the square C, equals how many 100ths of C? 8. Write 16, and 83 decimally. 5 12 9. Show from C how many 100ths equals; 2; Z2, 1. 11 10. Write the following decimals as common fractions: .27 .33 .67 .721 .221 .444 .777 11. Write as decimals, and then read: 12. Show how many 100ths of the square, B, equals. 13. How many 100ths of B do these equal: 100 100 100 100 100 100 100 15. Write the following decimals as common fractions: .081 .15 •14층 38층 777 16. Give the decimal equivalents of .853 .20ğ 1. Express the following common fractions in the form of decimal fractions: 3. .25 of a dollar equals how many cents? 4. A farmer sold .3 of a flock of 350 sheep. How many did he sell? 5. A piece of cloth 10 yd. long was sold to two customers, one buying .5 of it, the other buying the rest. How many yards did each one take? 6. A boy traveled 100 miles, going .2 of the way by boat. How many miles did he go by boat? 7. If .07 of the contents of a cistern holding 500 gal. were drawn off, how many gallons were drawn off? 8. A man bought .75 of a quantity of grain measuring 400 bu. How many bu. did he buy? 4, or 4.7 is read four and seven tenths. 204180, or 204.09 is read two hundred four and nine hundredths. 2346, or 234.69 is read two hundred thirty-four 100 and sixty-nine hundredths. 9. What name is given to any figure written in the first place to the right of the decimal point? In the second place? |