1. Compare a, a', a", a"". Read these a, a prime, a second, a third. 2. Compare a + a' with A. 3. What part of A is a? a + a'? a + a' + a"? 4. Is it true that of A equals of A? 5. Into how many Bis b? c? b + b' ? parts is B divided? What part of 6. Is it true that of B equals of B? 9. Is more or less than ? Measure. 10. Show that = 1; 12 11. When is the ratio of one number to another represented by a whole number? When is it represented by a fraction? FRACTIONS AND RATIOS 1. What is the ratio of 1 to 94? of 9 to 1¢? 2. What is the ratio of 6 to 14? of 6 to 3? of 4 to 2¢? 3. What part of 50 is 5? of 500 is 5? 4. What is of a dozen? 5. What is the ratio of 1 to 12? of 12 to 1? 6. If a dozen apples cost 124, how much would 2 apples cost? 3 doz.? 7 doz.? 7. If 7 oranges cost 14%, how many cents would 1 orange cost? What is the ratio of 14 to 7? of 7 to 14? 9. Henry had 10 marbles. He lost 2. What part of his marbles did he lose? 10. of 10 marbles = ? of 10 marbles = ? 11. What is the ratio of 2 to 10? of 10 to 2? 12. A basket contained 14 eggs. of them. The cook took out How many eggs did she take out? 13. What is the ratio of 2 eggs to 14 eggs? 14. George had 15 pears. He gave away 3. part did he give away? 15. What is the ratio of 3 to 15? of 15 to 3? 16. What is of 15? What are of 15? What 17. Eddie had 16 cherries. He gave of them to James and to Arthur. How many eighths did he keep? How many cherries did he give to James? to Arthur? to both boys? FRACTIONS 1. Which is greater, 2 × 1 or 2 × 1? Why? 2. What is of 16? 16÷?= 4. 3. of 16 ? of 16 ? of 16 ? = = g = 4. A butcher had 16 chickens. He sold of 16 = ? of them to 1 man and to another man. How many chickens did he sell to both men? 5. What is the ratio of 6 to 18? of 18 to 6? 6. I had 18¢ and lost of my money. How many 4 of them were What part was taken 9. There were 20 books on a table. taken away. How many were left? away? What part was left? 10. of 20 are how many cents? 11. 12. 13. of 15 figs are how many figs? of $10 are how many dollars? of 14 pounds are how many pounds? ? ? ? 휴? 우? 구? 14. Which is greatest and which is least,,,!? 15. Would it make any difference if we asked question 14 in this way: which is greatest; of 24, of 24, or 18 or of the oblong of 24? or: which is greatest; 1, 1 1 16. Point out, 3, 4, 1, 1, 12 of this oblong. DIVISION Division finds how many times one number is contained in another. The number to be divided is called the Dividend. The number we divide by is called the Divisor. The result obtained by division is called the Quotient. It shows how many times the divisor is contained in the dividend. When the dividend does not contain the divisor an exact number of times, the part of the dividend left undivided is called the Remainder. It is always less than the divisor. The sign of division,, shows that the number before it is to be divided by the number. Thus, 10 ÷ 5 = 2. Ten contains five twice. Or, 10 divided by 5 is 2. Division is also indicated by writing the dividend above a line and the divisor below it; thus, 102. The sign) is also used to indicate division. Thus 5)10(2 shows that 10 divided by 5 equals 2. We sometimes indicate division by this form, 8)64. Proof. Multiply the quotient by the divisor and add the remainder, if any. If the result equals the dividend, the work is correct. FRACTIONS 1. Which is greater, 2 × 1 or 2 × 1? Why? 2. What is of 16? 16÷?= 4. 3. of 16? 8 of 16 ? of 16 = ? = 4. A butcher had 16 chickens. 1 man and to another man. he sell to both men? of 16 = ? How many chickens did 5. What is the ratio of 6 to 18? of 18 to 6? 6. I had 18 and lost of my money. cents did I lose? 6 How many ? 7. of 18=? of 18 3 = 4 of them were What part was taken 9. There were 20 books on a table. taken away. How many were left? away? What part was left? 10. of 20% are how many cents? of 14 pounds are how many pounds? ? ? 4? 뭐? 뭐? 구? 14. Which is greatest and which is least, 1,,!? 15. Would it make any difference if we asked question 14 in this way: which is greatest; of 24, of 24, or · 1 of 24? or: which is greatest;, or of the oblong rectangle?,, or or of this oblong rectangle? 1 6 1 16. Point out, 3, 4, 1, 1, 12 of this oblong. 6 |