Exercise 13. Review 1. Add: 1.025; 62.5; 24.35; 8.0075; 4.5; 162.75; 37.375; 16.005; 5.0625. 2. Subtract 5.086 from 16.27. 3. Multiply 9.206 by 4.34. 4. Divide 2.3125 by 6.25. 5. Multiply without using a pencil: 6.375 by 100; 3.1416 by 10; 1.4142 by 1000. 6. Divide without using a pencil: 82.5÷10; 1468÷1000; 237.5÷100. 7. A farmer sold 238 bushels of oats at $.83 per bushel and received in exchange corn at $1.34 per bushel. How many bushels of corn did he receive for the oats? 8. Mrs. Warner sold her neighbor a crate of 16 boxes of cherries at 22 cents a box. She took in exchange 2 pounds of butter at 55 cents and the remainder in cash. How much cash did she receive? 9. A machinist had a fitting which weighed 2.125 pounds in the rough. When finished it weighed only 1.875 pounds. How much metal had been taken off in the process? 10. The readings for a water meter showed that 11,900 gallons of water had been used during the quarter of the year for which the readings were taken. Find the amount of the water bill at 40 cents per 1000 gallons. 11. A family used 51 kilowatts of electricity during one month. The electric company charged 12 cents per kilowatt for the first 18 kilowatts and 5 cents per kilowatt for the remainder. Figure out the total bill for that month. 12. Frank sold 2 pigs averaging 178 pounds for $13.75 per cwt. (hundred weight). How much did he receive for them? Exercise 14. Changing Common Fractions to Decimals A common fraction may represent an indicated division as well as a number of the equal parts of a thing. For example, 3 may be read 3 divided by 8. 3÷8 .375. Then, the common fraction = .375. To change a common fraction to a decimal, we divide the numerator by the denominator. Change the following fractions to decimals: Exercise 15. Changing Decimals to Common Fractions 1. Change .375 to a common fraction. .375=130.1% reduced to its lowest terms = 3. 1000 To change a decimal to a common fraction, write the decimal with its denominator indicated as in a common fraction and reduce the result to its lowest terms. 19. 20. Which is shorter, to take .375×64 or 3 of 64? Which is shorter, to find .33 $72.09 or of $72.09? Exercise 16. School Projects Applied Problems in Decimals In a certain school the children raise bulbs in connection with their nature study. One year the fifth grade did all the ordering and selling of the bulbs as a part of their work in arithmetic. 1. Find the amount of their first order for stock: 2. Find the cost price of one bulb in each of the eleven kinds of bulbs. For example: 400 crocus bulbs cost $2.25. One bulb costs $2.25÷400, or 225 of a cent, which equals of a cent. The class then decided on the following price list and sent it to each room: Crocuses, 4 for 3 cents Red and yellow tulips, 2 for 3 cents Hyacinths, 3 cents each Narcissus poeticus, 1 cent each Narcissus, paper white, 2 cents each Daffodils, 2 cents each Chinese lilies, 7 cents each 3. Find the gain on each kind of bulbs, providing the class sold all of the bulbs. 4. Find the total gain. This gain was to pay express charges and other incidental expenses. The express charges were $1.00. How much was left to pay the incidental expenses for sacks, money order to pay for the bulbs, etc.? Among the problems which the clerks had to solve in the "bulb business" were the following: Exercise 17 1. John pays for a Chinese lily and 6 red tulips with a quarter. Count his change.1 2. Elizabeth gave a half-dollar in payment for 2 dozen crocuses and 9 hyacinths. How much change should she have received? 3. Marion buys 6 "paper whites" and 3 Chinese lilies. She gives the cashier two quarters. Count her change. 4. Alexander bought 4 red and yellow tulips and 2 hyacinths. He gave the cashier 2 dimes. Count his change. Exercise 18. Counting Money 1. At the end of one day there were in the cash box 1 quarter; 3 dimes; 8 nickles, and 3 pennies. Find the amount of the day's sales. 2. Another day the cashier reported a dollar bill, 1 fiftycent piece; 2 quarters; 2 dimes; 9 nickels, and 5 pennies. Find the amount of that day's sales. 3. One noon the class sent the following money to the bank: two dollar bills; 3 fifty-cent pieces; 2 quarters; 2 dimes; 9 nickels, and 5 pennies. How much money was deposited? 1. Six tulips cost 6 cents. Count change in regular way saying 6, (4 pennies) 10, (a dime) 20, (a nickel) 25. Sold to Making Sales Slips 10-1-1916. The clerks made out sales slips which they gave to each purchaser to present to the cashier when he paid for his bulbs. Cut strips of paper 3 inches by 4 inches and rule for sales slips as shown in the form on this page. Make out slips for the following sales which were among those made the first two days. You may sell to any of your friends or classmates and sign your initials as if you were the clerk. Exercise 19 1. 4 paper white narcissus; 1 Chinese lily; 3 red tulips; 1 rose hyacinth. 2. 8 "paper whites"; 2 rose hyacinths. 3. 1 Chinese lily; 4 black hyacinths; 6 red and yellow tulips; 8 "paper whites." 4. 8 crocuses; 4 red hyacinths; 2 "paper whites"; 5 daffodils. 5. 3 Chinese lilies; 4 yellow tulips. 6. 2 red and yellow tulips; 1 black hyacinth; 9 crocuses; 6 daffodils. 7. 12 pink tulips; 12 crocuses. 8. 1 Chinese lily; 1 "paper white"; 1 yellow tulip. |