18. How many are 70, 37, 13, and 6? LESSON LVII. 1. 33 taken from 76 leave how many ? SOLUTION. 76 is 7 tens and 6; 33 is 3 tens and 3; 3 tens from 7 tens leave 4 tens, and 3 from 6 leave 3; therefore 33 from 76 leave 4 tens and 3, or 43. 2. 28 taken from 99 leave how many? 3. Take 33 from 85; 46 from 78. 4. Take 54 from 97; 5 from 98. 5. 42 less 8 are how many? NOTE. 8 cannot be taken from 2, but we may take 1 ten from the 4 tens of the 42, and adding it to the 2, have a number from which 8 can be taken. Then, 8 from 42 will be the same as 3 tens, and 1 ten and 2, less 8; 1 ten and 2, or 12, less 8, are 4; therefore 42 less 8 are 3 tens and 4, or 34. 6. From 53 take 6; take 5; take 9. 7. Take 1 from 20; 2 from 30; 3 from 40. 8. Take 4 from 50; 5 from 60; 7 from 70. 9. Take 6 from 80; 7 from 90; 9 from 100. 10. Take 8 from 85; 6 from 74; 9 from 95. 11. Take 28 from 76. NOTE. 8 cannot be taken from 6, but 76 may be called 6 tens and 16; 8 from 16 leave 8, and 2 tens from 6 tens leave 4 tens; therefore 28 from 76 leave 4 tens and 8, or 48. 12. Take 37 from 100; 29 from 73; 56 from 126. 13. 14. 15. 16. Take 39 from 143; 91 from 180; 37 from 147. 893. LESSON LVIII. 1. How many are 3 times 18? SOLUTION. 18 is 1 ten and 8; 3 times 1 ten are 3 tens; 3 times 8 are 24, or 2 tens and 4; and 3 tens and 2 tens and 4 are 5 tens and 4, or 54; therefore 3 times 18 are 54. How many are 5 times 16? 3. How many are 8 times 14? 4. How many are 8 times 13 ? 6 times 17 ? 8 times 15? NOTE. 8 times 1 ten are 8 tens; 8 times 3 are 2 tens and 4; 8 tens and 2 tens and 4, are 10 tens and 4, or 104. 5. How many are 7 times 18? 8 times 19? 2 times 67 ? NOTE. 7 times 3 tens are 21 tens; 7 times 6 are 4 tens and 2; 21 tens are 2 hundreds and 1 ten; 2 hundreds and 1 ten and 4 tens and 2, are 2 hundreds, 5 tens and 2, or 252. 8. How many are 9 times 38? 9. How many are 9 times 37? 10. How many are 6 times 49? 11. How many are 9 times 19? 12. How many are 4 times 48? 13. How many are 2 times 85? 14. How many are 6 times 29? 15. How many are 9 times 39? 7 times 51? 16. How many are 6 times 61 ? 4 times 93 ? 7 times 76? 8 times 29 ? 7 times 49? 7 times 55? 3 times 36 ? 4 times 44? 7 times 24 ? 8 times 44 ? 5 times 74 ? 17. How many are 5 times 77? 3 times 90 ? LESSON LIX. 1. How many are 14 times 18? SOLUTION. 14 is 1 ten and 4; 10 times 18 are 18 tens, and 4 times 18 are 4 tens and 3 tens and 2, or 7 tens and 2; 18 tens and 7 tens and 2 are 25 tens and 2, or 252. 3. 15 times 12? 13 times 23? 16 times 24 ? 12 times 32? 19 times 20? 2. How many are 15 times 16? How many are 16 times 26? 4. How many are 13 times 17? 5. How many are 11 times 31? 6. How many are 18 times 19? 7. How many are 20 times 21 ? 8. Find the product of 23 and 17; 21 and 19. 13 times 33 ? 9. Find the product of 23 and 14; 31 and 11. 22 and 18; 29 and 13; 10. Find the product of 28 and 16; 27 and 19; 26 and 20. 11. Find the product of 37 and 11; of 36 and 12; of 35 and 13. 12. How many are 11 times 44? 12 times 35? 13 times 32 ? 13. Multiply 11 by 18; 21 by 18; 31 by 18. 14. Multiply 12 by 17; 22 by 17; 32 by 17. 15. Multiply 13 by 14; 23 by 14; 33 by 14; 43 by 14. 16. Required the product of 17 by 17; of 27 by 17; of 37 by 17. 17. Required the product of 18 and 17; of 28 and 17; of 38 and 17. 18. Multiply 11 by 11; by 21; by 41. 19. Multiply 16 by 12; 18 by 13; 16 by 14; 28 by 14. 20. How many are 6 times 16? 16 times 16! K 16 times 17? 16 times 18? 16 times 23? 18 times 25. 21. Multiply 29 by 27. NOTE. 29 by 2 tens and 7 are 58 tens and 203, or 20 tens and 3; 58 tens, 20 tens, and 3 are 78 tens and 3, or 783. 22. Multiply 28 by 28; 30 by 20; 29 by 21; 27 by 27. 23. How many are 23 times 27? 24 times 26? 25 times 25? 24. Multiply 27 and 18 together; 25 and 28; 24 and 29. LESSON LX. 1. How many times is 8 contained in 88 ? SOLUTION. 88 is 8 tens and 8; 8 in 8 tens 1 ten time, and 8 in 8 units 1 unit time. Therefore 8 is contained in 88, 1 ten and 1 unit times, or 11 times. 2. How many times 6 in 90 ? NOTE. 6 in 9 tens 1 ten time, and 3 tens remaining; 3 tens remaining equal 30 units; and 6 in 30 units 5 units times. Therefore, 6 is in 90,1 ten and 5 units times, or 15. 3. How many times 8 in 96? NOTE. 8 in 9 tens 1 ten times, and 1 ten remaining; 1 ten remaining equals 10 units; 10 units and 6 units are 16 units; and 8 in 16 units 2 units times. Therefore 8 is in 96,1 ten and 2 units times, or 12 times. 9. How many times will 126 contain 7? Divide 133 by 7; 184 by 8; 224 by 8. 10. Divide 252 by 3; by 4; by 6; by 7; by 9. 11. How many quarts of milk, at 6 cents a quart, can you buy for 9 dimes and 6 cents? How many for 2 dollars, 2 dimes, 2 cents? 12. How many times will 129 contain 8? ANS. 16 times. 13. 14. 172? 15. by 8. Divide 169 by 7; 168 by 7; 168 by 8. Divide 868 by 8; 808 by 8; 848 by 8; 888 NOTE. 80 tens divided by 8, gives 10 tens, or 1 hundred. 16. Divide 896 by 7. NOTE. We find the hundreds in the quotient first; 7 is contained in 8 hundreds 1 hundred times, and 1 hundred over. 17. Divide 968 by 8; 1048 by 8; How many times 11 in 121 ? 18. 1136 by 8. SOLUTION. 121 is 1 hundred, 2 tens, and 1 unit; 11 is not contained in the 1 at the left; but 1 hundred is 10 tens, and with the 2 tens make 12 tens, in which 11 goes 1 ten time with 1 ten remaining; 1 ten remaining equals 10 units; 10 units and 1 unit are 11 units; and 11 in 11 units 1 unit time Therefore 11 is in 121, 1 ten and 1 unit, or 11 times. The SQUARE of any number is the product of that number by itself. 1. What is the square of 11? SOLUTION. 11 is 1 ten and 1; 1 ten time 11 is 110; 1 |