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. to, is, is, and i's have a — — and do not have a - Reduce to equivalent fractions having a common denominator. 2. 1, j, 1. (Change to 12ths.) = j = 1 = (Change to —.) (Change to —-.) 5. 1, 1. (Change to —.) 1 = = (a) i and . (b) { and . (c) j and 6. Add and I can change eighths and thirds to -ths. Q = 27. j = 77 - twenty-fourths and twenty-fourths = — twenty-fourths. (d) Find the sum of 576 and 239 4. 7. From subtract s. I can change sevenths and thirds to —sts. = 2: š = 21. - twenty-firsts less twenty-firsts = — twenty-firsts. (e) Find the difference of 5725 and 3681. 8. Divide & by no. This means, find how many times at is contained in . I can changed to twentieths. * = 30. 1 twentieth is contained in — twentieths times. Story.* (f) Find the quotient of 4; divided by ..(Change 41 to twentieths.) Story.t (g) 1474 +383. (h) 3745 - 1811. (i) 271 bu. -- 2į bu. I * See Note (9) page 6. + See paragraph 2, page 10. Tell the meaning. Change 274 and 2ļ to halves. Story. See note (14) page 7. DECIMALS—THOUSANDTHS. 1. .125 and .006 are thousandths. 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.t 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. 1.25 .05 = 12. At $.05 each, for $2 I can buy — pencils. 2+.05 = (f) (g) (h) (j) Add. Subtract. Multiply. Divide. Divide. 46.27 54.75 7.0541 $.005)$.3858 5)$.385$ 25.308 8.326 5 * These figures refer to notes on page 8. + See page 10, paragraph 2. I Write the decimal point in the product immediately after writing the tenths' 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 385 thousandths. 5 thousandths are contained in 385 thousandths 77 times. Problem (j) means, find 1 fifth of 385 thousandths. 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 6. A 2-foot cube contains — 7. A 3-foot square contains 8. A 3-foot cube contains — - square feet. — square feet. 9. The area of a 2-inch square is 10. The solid content of a 2-inch cube is 11. The area of a 3-inch square is 12. The solid content of a 3-inch cube is inches. inchen feet. 13. The area of a 2-foot square is 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. (3) A 6-inch square. (4) A 12-inch square. (b) A 5-inch cube. (c) A 6-inch cube. (d) A 12-inch cube. *Problems designated by letters are for the slate. |