10. A man traveled 250 miles by railroad, 325 by steamboat, and 190 by stage. How many miles did he travel? 11. What is the sum of three thousand five hundred twenty-six, eight thousand one hundred twelve, six thousand nine hundred eighteen? 12. A butter-buyer bought 326 pounds of butter from one dairy, 518 pounds from another, and 168 pounds from another. How many pounds of butter did he buy? 13. Find the sum of six hundred seventy-nine, three hundred twenty-eight, and fourteen. 14. Three persons deposited money in a bank. The first put in 192 dollars, the second 466 dollars, and the third 825 dollars. How much money did they deposit? 15. A man paid 400 dollars for a span of horses, 150 dollars for a carriage, and 75 dollars for a harness. How much money did he pay for all ? Copy and add: (16.) (17.) (18.) 25,789 32,644 58,793 62,461 58,261 21,469 SUBTRACTION LESSON LXX. 1. Herbert earned 19 dollars and gave 7 dollars for a coat. How much had he left? 2. Mary painted 18 pictures and sold 6 of them. How many had she left? 3. If a man earns 15 dollars a week and uses 8 dollars, how many dollars will he have left? 4. A grocer having 22 pounds of lard, sold 11 pounds of it. How many pounds had he left ? 5. William had 12 marbles, but gave away 5 of them. How many had he left? 6. 25 pencils are how many more than 10 pencils ? 7. From a piece of cloth containing 22 yards, 16 yards were cut. How many yards remained? 8. From a cistern containing 40 gallons of water, 10 gallons were drawn out. How many gallons remained? 9. There are 24 pupils in a school, of whom 13 are boys. How many are girls ? 10. One piece of cloth contained 26 yards, and another contained 13 yards. How many yards more were there in the larger piece ? 11. A farmer who had 23 horses, sold 11 of them. How many horses had he left? DEFINITIONS. The process of finding the difference between two numbers is called Subtraction. The greater of the two numbers is called the Minuend. The lesser of the two numbers is called the Subtrahend. The result obtained by subtracting is called the Remainder or Difference. The Sign of Subtraction is a short horizontal line : called minus. 1. From 768 subtract 425. PROCESS. EXPLANATION.-For convenience the less number is written under the greater, units 768 under units, tens under tens, etc. 425 Beginning at the right hand, each figure 343 of the subtrahend is subtracted from the cor responding figure of the minuend. 8 units minus 5 units equal 3 units, which are written under the units. 6 tens minus 2 tens equal 4 tens, which are written under the tens. 7 hundreds minus 4 hundreds equal 3 hundreds, which are written under the hundreds. Hence the remainder is 343. SLATE EXERCISES. (2.) (3.) ( 4.) (5.) (6.) 665 543 LESSON LXXI. PROCESS. 1. From 7425 subtract 2536? EXPLANATION. For convenience the less number is written under the greater, Minuend 7 + 25 units under units, tens under tens, hundreds Subtrahend 25 36 under hundreds, etc. Remainder 4889 Beginning at the right hand, each fig ure of the subtrahend is subtracted from the corresponding figure of the minuend. Since 6 units can not be subtracted from 5 units, 1 ten is united with the 5 units. 1 ten is equal to 10 units. 10 units and 5 units are 15 units. 6 units from 15 units leave 9 units. The 9 is written in units' place. Since 1 of the tens was united with the units, there is but 1 ten left. Because 3 tens can not be subtracted from 1 ten, 1 hundred is united with the 1 ten. 1 hundred is equal to 10 tens. 10 tens and 1 ten are 11 tens. 3 tens from 11 tens leave 8 tens. The 8 is written in tens' place. Because 5 hundreds can not be subtracted from 3 hundreds, 1 thousand is united with the 3 hundreds. 1 thousand equals 10 hundreds. 10 hundreds and 3 hundreds equal 13 hundreds. 5 hundreds from 13 hundreds leave 8 hundreds. The 8 is expressed in hundreds' place. Since 1 thousand was added with the hundreds, there are but 6 thousands left. 2 thousands from 6 thousands leave 4 thousands. The 4 is written in thousand's place in the remainder. Hence the remainder is 4889. SLATE EXERCISES. Copy and subtract the following: ( 2.) (3.) (4.) (5.) (6.) 3728 1963 |