Division by 2 and 4 with a Remainder (a) How many 2-cent stamps can you buy for 5 cents? How many cents will you have left? 2 is contained in 5, 2 times, with 1 left over. We call the number left over, the remainder. We may show this division like this: 2 and 1 r. What does "r." stand for? 2)5 24 6 8 10 12 14 16 (b) Divide: 2)15. If you cannot see at once how many times 2 is contained in 15, look at the table of 2's at the left, and pick out the largest number less than 15. It is 14. 14 is how many 2's? Then 2 is contained in 15, 7 times, with a remainder of 1. 18 (c) Divide: 2)13 2)7 2)11 2)17 2)19 What is the largest remainder you can have when you divide by 2? (d) If oranges cost 4 cents each, how many oranges can you buy for 10 cents? How many cents will you have left? (e) Divide: 4)5 4)18 4)27 4)31 What is the largest remainder you can have when you divide by 4? ORAL OR WRITTEN WORK Divide: 1. 2)5 5. 2)13 9. 4)6 13. 4)13 17. 2)7 21. 4)23 2. 2)11 6. 2)19 10. 4)9 14. 4)15 18. 4)14 22. 4)18 3. 2)9 7. 2)17 11. 4)5 15. 4)11 19. 4)30 23. 4)38 4. 2)3 8. 2)15 12. 4)7 16. 4)17 20. 4)26 24. 4)21 Division by 5 and 10 with a Remainder (a) How many nickels can there be in 14 cents? How many cents left over? (b) Divide: 5)9 5)32 5)38 5)19 5)44 What is the largest remainder you can have when you divide by 5? (c) How many dimes can there be in 19 cents? How many cents over? (d) Divide: 10)27 10)49 10)64 10)18 10)18 10)79 What is the largest remainder you can have when you divide by 10? 6. For 25¢ you can buy - balls, with - change. 7. For 25¢ you can buy 8. For 15¢ you can buy 9. For 30¢ you can buy 10. For 25¢ you can buy bananas, with-change. tops, with change. bananas, with-change. oranges, with change. Short Division (a) Divide 468 by 2. Start dividing at the left. Think 2 is contained in 4, 2 times. Write 2. (b) If you divide no marbles (0 marbles) between 2 boys how many marbles will each boy get? No marbles, of course. 0 ÷ 2 = 0 0 ÷ 4 = 0 O divided by any number equals 0. (c) Divide 240 by 4. 4 is contained in 24, 6 times. 60 Quotient 4 is contained in 0, 0 times. 4)240 Notice where the figures of the quotient are written. (d) Study and explain these examples: 79 Quotient Divisor 4)316 Dividend 4 is contained in 31, 7 times with 3 remainder. Write 7 over 1; carry the 3 remainder in front Write of the 6, making 36. 4 is contained in 36, 9 times. 9 over 6. (b) In division, the number we divide by is called the divisor. The number divided into is called the dividend. In the example above, what is the divisor? The dividend? The quotient? (c) We may check the example above (that is, make sure the answer is correct) by multiplying the quotient, 79, by the divisor 4. The product should be the dividend, 316. To check an example in division, multiply the quotient by the divisor to get the dividend. |