ARITHMETIC. PART I. SIMPLE NUMBERS. 1. Three is an exact divisor of 6, of 9, of —-, of of , and of . Four is an exact divisor of ., 2. Eighteen is exactly divisible by 2, by , by , and by . 28 is exactly divisible by . 3. Two is an exact divisor of 4, 6, , , , etc. 4. A number that is exactly divisible by 2 is called an even number; 8, 10, , , , are even numbers. 5. Two is not an exact divisor of 1, 3, 5, , , etc. 6. A number that is not exactly divisible by 2 is called an odd number; 9, 11, , , , , are odd numbers. 7. 37 is an number. 24 is an number. 8. Tell which of the following are odd numbers and which are even numbers: 375, 256, 320, 197, 281, 378, 584, 252, 323, 569. (a) Copy the numbers given in problem 8 and find their sum.* (b) Find the sum of all the odd numbers from 1 to 15 inclusive. (c) Find the sum of all the even numbers from 2 to 16 inclusive. * Problems designated by letters are for the slate. FRACTIONS. 1. When two or more fractions have denominators that are alike, they are said to have a common denominator. Tv> Tv» Tv> an^ Tv nave a • f an(^ 4 donot nave Reduce to equivalent fractions having a common denominator. 2. £, $, |. (Change to 12ths.) | = $ = | = 3- i, i, f (Change to ) j = | = £ 4. \, f (Change to ) \ = \ = 5. \, If. (Change to ) | = - | = (a) £ and ■§. (b) | and ^. (c) f and |. 6. Add -| and ^. I can change eighths and thirds to ths. f = Tj-7. £ = ^T. twenty-fourths and twenty-fourths = twenty-fourths. (d) Find the sum of 576f and 2391, 7. From -| subtract £. I can change sevenths and thirds to -sts. 4 = 7T. | = ^T. twenty-firsts less twenty-firsts = twenty-firsts. . (e) Find the difference of 572f and 368f 8. Divide £ by ^-L. This means, find how many times 2^ is contained in £. I can change | to twentieths. 4 = Yts- 1- twentieth is contained in ■ twentieths times. Story* (f) Find the quotient of 4£ divided by ^. ■ (Change 4j to twentieths.) Story.f (g)147f + 38f. (h)374f-181f (i) 27* bu. + 2| bu.J * See Note (9) page fi. t See paragraph 2, page 10. J Tell the meaning. Change 27J and 2J to halves. Story. See note (14) page 7. *These figures refer to notes on page 8. DECIMALS—THOUSANDTHS. 1. .125 and .006 are thousandths. 2. .125 and .06 are thousandths. 3. .125 and .6 are ■ thousandths. 4. .275 less .006 are thousandths. 5. .275 less .06 are thousandths. 6. 2.4 and 3.104 are ■ and thousandths. (a) Add 27.006, 14.8, and 25.06. 7. 36.025 less 1.008 equals and thousandths. (b) From 8.175 subtract 3.023. 8. 3 times 2.005 is and thousandths. (c) Multiply 26.008 by 4. 9. Divide .035 by .007. This means ■ 4* . (d) Find the quotient of .375 divided by .005. Story.j 10. Divide .035 by 7. This means 5* . (e) Find the quotient of 35.049 acres divided by 7. Story. 11. At $.05 each, for $1.25 I can buy pencils. 1.2,". H-.05 = 12. At $.05 each, for $2 I can buy pencils. 2 -h.05 = (0 (g) (h) (i) (J) Add. Subtract. Multiply. Divide. Divide. 46.27 54.75 7.054J $.005)$.385§ 5)$385§ 25.308 8.326 5 tSee page 10, paragraph 2. X Write the decimal point in the product immediately after writing the tenihs' figure of the product. §" Point off" in division of decimals by thinking what the problems mean. Problem (i) means, find how many times 5 thousandths arc contained in SS5 thousandths. 5 thousandths are contained in 385 thousandths 77 times. Problem (j) means, find I fifth of 385 thousandths. J of 385 thousandths is 77 thousandths, or .077. DENOMINATE NUMBEKS. 1. 500 lb. are of a ton. 2. 1500 lb. are of a ton. 3. 1000 lb. are of a ton. 4. 200 lb. are of a ton. 5. I weigh pounds. 6. My father's horse weighs pounds. 7. A keg of nails weighs 100 pounds. 8. One ton of na'ils is kegs. 9. A load of hay weighs from to pounds.* 10. A load of coal weighs from to pounds.* 11. When hay is $12 a ton, 1000 lb. cost -. 12. When coal is $8 a ton, 1500 lb. cost . 13. When meal is $16 a ton, 500 lb. cost ■ . 14. When hay is $6 a ton, 200 lb. cost . 15. When hay is $7 a ton, 200 lb. cost . 16. When hay is $5 a ton, 200 lb. cost . 17. When hay is $8 a ton, 200 lb. cost . 18. When hay is $6 a ton, 2200 lb. cost . 19. When hay is $8 a ton, 2200 lb. cost . 20. When hay is $5 a ton, 2200 lb. cost . 21. 2500 lb. are and tons. 22. 3000 lb. are and tons. 23. 4500 lb. are and ■ tons. 24. 5000 lb. are and tons. 25. When hay is $12 a ton, 2500 lb. cost . 26. When hay is $10 a ton, 3000 lb. cost . 27. When hay is $8 a ton, 4500 lb. cost . *When you see a load of hay or a load of coal, courteously ask the man in charge of It to tell you how much it weighs. 1-inch cube. 1. A 2-inch square contains square inches. 2. A 2-inch cube contains cubic inches. 3. A 3-inch square contains square inches. 4. A 3-inch cube contains cubic inches. 5. A 2-foot square contains square feet. 6. A 2-foot cube contains cubic feet. 7. A 3-foot square contains square feet. 8. A 3-foot cube contains cubic feet. 9. The area of a 2-inch square is inches. 10. The solid content of a 2-inch cube is — . 11. The area of a 3-inch square is inches. 12. The solid content of a 3-inch cube is . 13. The area of a 2-foot square is feet. 14. The solid content of a 2-foot cube is . 15. Find the area of— Find the solid content of (1) A 4-inch square. (a) A 4-inch cube. (2) A 5-inch square. (b) A 5-inch cube. (3) A 6-inch square. (c) A 6-inch cube. (4) A 12-inch square. (d) A 12-inch cube. *Problems designated by letters are for the slate. |