(17) What will you pay for trimming for a waist if it takes 9 inches for one side of the front, 6 inches for the opposite side, 12 inches for each sleeve, 3 inches for the belt, and 13 inches for the neck, and the trimming is 50¢ a yard? (18) A buyer bought merchandise for three departments. He paid $200 for the merchandise of the first department; $95 less for the second department; and for the third $59 less than for the first and second. What did he pay for the merchandise for the three departments? (19) If your wages the first year you work are $5 a week; the second year $6.50 a week; the third $8 a week; and the fourth $10 a week; what is your average weekly wage for the four years? What have you earned in the four years, if you work 50 weeks each year? (20) Forty hats were bought for $148. At what price should they be sold to make 50¢ on each hat? (21) What is the weight of 8 bales of cotton weighing respectively 565 lbs., 498 lbs., 615 lbs., 507 lbs., 487 lbs., 603 lbs., 818 lbs., 575 lbs.? (22) A cotton dealer bought a quantity of cotton in New Orleans for $6000. It cost him $550 for freight to New York; $75 for cartage; $300 for storage; $75 for insurance. For how much must he sell it to gain $5000? (23) A sheep owner bought 600 sheep at $5 a head. He paid $180 for hay; $36 for grain; 15¢ a head for shearing; $30 for barn rent. He sold the wool at 25¢ a lb., the weight of each fleece being 5 lbs. He sold his sheep at $6 a head. Did he gain or lose, and how much? (24) I paid $8.75 for a serge dress; $25 for an evening dress; $7 for alterations; $1 for a sateen petticoat; $5 for a silk petticoat; $3 for a negligee; $3 for shoes; $10 for boots and slippers; $5 for a sweater; $1 for rubbers; $7 for corsets; $1 for brassieres; $4 for stockings; $4 for gloves; $8.50 for a hat; $9.38 for underwear; $3.69 for a night dress; $2.98 for neckwear; and $5.17 for other articles. What was the cost of my winter outfit? (25) I paid $34.50 for a suit; $7.50 for a linen dress; $2 for a petticoat; $10 for boots and shoes; $3.75 for stockings; $3.15 for gloves; $5.49 for a hat; $5.79 for underwear; $11.50 for waists; $4.50 for neckwear. What was the total amount spent for my summer outfit? (26) What have I left out of $250 after paying for both my summer and winter outfits? CHAPTER V UNITED STATES MONEY AND DECIMALS 1. How many dimes does it take to make a dollar? What part of a dollar is a dime? In the number $8.59 what figure stands for the dimes? 2. How many one-cent pieces does it take to make one dollar? What part of one dollar is one cent? In the number $8.59 what figure stands for the cents? 3. What part of one cent is one mill? What part of one dollar is one mill? In the number $8.59 what figure stands for the dollars? tenths of a dollar? hundredths of a dollar? What name is given to the point which separates the whole number of dollars from the parts of a dollar? 24. United States money. United States currency has a decimal system of notation. The decimal point separates the dollars from the parts of a dollar, or cents and mills. The first figure at the right of the decimal point denotes dimes or tenths of a dollar; the second figure at the right of the decimal point represents cents or hundredths of a dollar; the third figure at the right of the decimal point represents mills or thousandths of a dollar. (Mill means thousandths.) 1. The dollars are written as whole numbers at the left of the decimal point, with the dollar sign ($) written before them. Where the number of cents is less than ten, a cipher must be written in the first place at the right of the decimal point (representing dimes); thus six dollars and five cents is written: $6.05. (1) Read: 4.5 dollars; 8.002 dollars; 5.01 dollars; .1 of a dollar; .10 of a dollar; .020 of a dollar; 36.5 dollars; 45.003 dol lars; 80.08 dollars; .09 of a dollar. What coin is worth a tenth of a dollar? (2) Write with the dollar sign, decimal point and figures: 4 cents, 25 cents, 3 dollars and five mills, 287 dollars, 63 cents, 40 cents. (3) Four dimes equals how many cents? Would you say that the price of a ball was 3 dimes or thirty cents? Why? What do we commonly say instead of 6 dimes and 7 cents? Instead of 8 dimes and 9 cents? 456 cents equals how many dollars and how many cents? (4) Write with dollar sign, decimal point and figures: five thousand eight hundred six cents; nine tenths dollars; 2 tenths dollars; 7 and 5 tenths dollars; 12 and 1 tenth dollars; 15 and 5 hundredths dollars; 24 and 50 hundredths dollars; 6 and 5 thousandths dollars; 9 and 25 thousandths dollars; 48 and 356 thousandths dollars. (5) Read as dollars, dimes, cents, and mills, then as dollars, tenths, hundredths, thousandths of dollars: $26.285; $5.091; $42.010; $68.011; $50.505; $20.020; $85.06; $69.278; $5.001; $195.026; $300.300; $5.009. (6) Write in words: $565.418; $18.028; $500.005; $60.060; $1.011. (7) How many mills in 512; in a dime; in 23¢? How many cents in 560 mills? in 50 mills? in 24 mills? in 10 mills? in 428 mills? 25. Units of value. The unit of value for the United States is the dollar; from this unit are derived other units, using decimal divisions and multiples. Thus: 4. The bronze or copper coin is: (1) The one cent piece. 5. The paper money is: (1) United States notes or greenbacks. (2) Gold certificates. (3) Silver certificates. (4) Treasury notes. (5) National bank notes. Paper money is issued in the following denominations: $1, $2, $5, $10, $20, $50, $100, $500, $1000. 26. Decimals. 1. What does each 5 in 55 represent? How do they compare in value? Compare the values of each figure in the number 111; in $8.88. What does each figure represent as dollars, dimes, cents? As dollars, tenths of a dollar, hundredths of a dollar? 2. In what other way may 1/10 be written? 1/100? 1/1000? 3. Units expressed by figures at the left of the decimal point are integers and represent whole things; units expressed by figures at the right of the decimal point represent tenths, hundredths, thousandths, etc., or parts of whole things, and are called decimal fractions or decimals. (The word decimal is derived from the Latin word decem, ten.) In reading decimals the word "and" is used only where the decimal point comes. Thus, in reading 0.906 or .906, say nine hundred six thousandths. 4. Read: 0.8; 0.05; 0.38. How many places must be used to express completely any number of hundredths? Read: 0.008; 0.090; 0.036; 0.825. How many places must be used to express completely any number of thousandths? Read: 0.0008; 0.00080; 0.000800; 0.080405; 0026; 0.004321. How many places must be used to express completely any number of ten-thousandths? Any number of hundred-thousandths? Any number of millionths? 27. Numeration table. The following table shows the relation of integers and decimals with their decreasing and increasing orders to the right and to the left of the decimal point. (1) 8.7, 42.002, 81.081, 6.6205, 0.087, 300.1014 |