1. EXAMPLE 2 Subtracting Whole Numbers To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. 20436

2. EXAMPLE 2 Subtracting Whole Numbers 204 - 36 To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. 20436

3. EXAMPLE 2 Subtracting Whole Numbers To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. You need more ones to subtract 6, so regroup. 20436 1 9 14 204 - 36 204=100+90+14

4. EXAMPLE 2 Subtracting Whole Numbers 8 You need more ones to subtract 6, so regroup. To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. 204=100+90+14 20436 1 9 14 204 - 36

5. EXAMPLE 2 Subtracting Whole Numbers You need more ones to subtract 6, so regroup. To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. 204=100+90+14 1 9 14 20436 204 - 36 68

6. EXAMPLE 2 Subtracting Whole Numbers You need more ones to subtract 6, so regroup. To find the difference of and, you line up the numbers on the ones’ place. Next you subtract the ones, then the tens, and so on. 20436 1 9 14 204=100+90+14 204 - 36 168

7. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? EXAMPLE 3 Multiplying Whole Numbers SOLUTION You need to find the product 25 12

8. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers 25 12 25 12

9. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers 25 12 First multiply 25 by the ones’ digit, 2. 25 12

10. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers 25 12 50 First multiply 25 by the ones’ digit, 2. 25 12

11. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers 25 12 50 First multiply 25 by the ones’ digit, 2. Then multiply 25 by the tens’ digit, 1. 25 12

12. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers Start the partial product for the tens’ digit in the tens’ column. 25 12 50 First multiply 25 by the ones’ digit, 2. 25 Then multiply 25 by the tens’ digit, 1. 25 12

13. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? Start the partial product for the tens’ digit in the tens’ column. SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers 25 12 50 First multiply 25 by the ones’ digit, 2. 25 Then multiply 25 by the tens’ digit, 1. 300 Add the partial products. 25 12

14. Music Lessons Your music lessons cost $25 per week. How much will you pay for 12 weeks of lessons? Start the partial product for the tens’ digit in the tens’ column. SOLUTION You need to find the product EXAMPLE 3 Multiplying Whole Numbers ANSWER You will pay $300 for 12 weeks of music lessons. 25 12 50 First multiply 25 by the ones’ digit, 2. 25 Then multiply 25 by the tens’ digit, 1. 300 25 12 Add the partial products.

15. EXAMPLE 4 Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7

16. EXAMPLE 4 Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 ) 7

17. EXAMPLE 4 Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 ) 7 Divide 59 by 7, because 7 is more than 5.

18. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 ) 7 8 Divide 59 by 7, because 7 is more than 5.

19. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 ) 7 8 Divide 59 by 7, because 7 is more than 5. Multiply: 8 7 = 56.

20. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 56 592 ) 7 8 Divide 59 by 7, because 7 is more than 5. Multiply: 8 7 = 56.

21. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 56 592 ) 7 8 Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

22. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 32 56 592 ) 7 8 Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

23. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 32 56 592 ) 7 8 Repeat the process. Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

24. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 28 32 56 592 ) 7 84 Repeat the process. Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

25. EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 28 32 56 592 ) 7 84 Repeat the process. The remainder is 4. Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

26. 4 EXAMPLE 4 Align the 8 in the tens’ column. Dividing Whole Numbers To find the quotient of and, you use long division. The dividend is and the divisor is. 592 7 7 28 32 56 592 ) 7 84 R4 Repeat the process. The remainder is 4. Divide 59 by 7, because 7 is more than 5. Subtract: 59 – 56 = 3. Bring down the 2. Multiply: 8 7 = 56.

27. GUIDED PRACTICE Find the difference. 5. for Examples 2, 3 and 4 95 – 37 6. 82 – 49

28. Find the difference. 5. 6. GUIDED PRACTICE for Examples 2, 3 and 4 95 – 37 82 – 49 ANSWER 31 ANSWER 58

29. 7. 406 – 95 Find the difference. GUIDED PRACTICE for Examples 2, 3 and 4 500 – 315 8.

30. 7. 8. Find the difference. GUIDED PRACTICE for Examples 2, 3 and 4 406 – 95 500 – 315 ANSWER 185 ANSWER 311

31. Find the product or quotient. GUIDED PRACTICE 9. for Examples 2, 3 and 4 29 31

32. 9. GUIDED PRACTICE Find the product or quotient. for Examples 2, 3 and 4 29 31 ANSWER 899

33. GUIDED PRACTICE Find the product or quotient. 10. for Examples 2, 3 and 4 140 15

34. GUIDED PRACTICE Find the product or quotient. 10. for Examples 2, 3 and 4 140 15 ANSWER 2100

35. 11. GUIDED PRACTICE Find the product or quotient. for Examples 2, 3 and 4 721 6

36. GUIDED PRACTICE 11. Find the product or quotient. for Examples 2, 3 and 4 721 6 ANSWER 120 R 1

37. GUIDED PRACTICE 12. Find the product or quotient. for Examples 2, 3 and 4 418 21

38. GUIDED PRACTICE 12. Find the product or quotient. for Examples 2, 3 and 4 418 21 ANSWER 19 R 19