1. Module 1 Test Review

2. Now is a chance to review all of the great stuff you have been learning in Module 1! –Adding and Subtracting Decimals –Multiplying Decimals –Dividing Decimals –Division of Fractions –Division of Mixed Fractions

3. Place Value In order to be able to add or subtract decimals you must be able to read the numbers according to place value.

4. Place Value Let’s look at the place value of the digits in the number 65.483 If you line up the decimal with the word “and” then fill in your numbers you can quickly see the place value for each digit.

5. Estimation We can use estimation we can find an approximate amount. One method of estimation is to round a number to a specific place value. You round a number by determining if the digit to the right of the specified place value is greater than or equal to 5. If it is greater than or equal to 5, you round the number up one digit. If the digit is less than 5, it remains the same Example:

6. Using Estimation to Add or Subtract How can we use estimation in this problem? Mary went to the video game store and bought three used games, which cost $9.57, $13.28, and $15.82. What was the total approximate cost of all three games if you round to the nearest dollar? 1.Round each number the nearest whole number $9.57 ≈ $10 $13.28 ≈ $13 $15.82 ≈ $16 2.Find the sum To find the sum, add up all the prices. The total is the sum. 10 + 13 + 16 ≈ 39

7. What do you think? Which do you think is the correct way to find the sum of 47.62 and 12.3?

8. What do you think? Which do you think is the correct way to find the sum of 47.62 and 12.3? As you can see, place value is very important when adding or subtracting decimals.

9. Adding Decimals

10. Determine the sum for the following: 5.439 + 3.2 = 1. 5.439 Line up the decimals by their place value. + 3.2 If you can not drop a straight line through your decimal points you have not lined them up correctly. 1. 5.439 Add zeros as place value holders + 3.200 Add each column vertically starting with the smallest place value position 5.439 + 3.200 8 639 Bring your decimal point straight down. 5.439 + 3.200 8.639

11. Subtracting Decimals

12. What is the difference: 74.8 − 35.12 =

13. Adding Decimals What is the difference: 74.8 − 35.12 = 1. 74.8 Line up the decimals by their place value. - 35.12 If you can not drop a straight line through your decimal points you have not lined them up correctly. 74.80Add zeros as place value holders - 35.12 Subtract each column vertically starting with the smallest place value position 74.80 - 35.12 74.80 - 35.12 Bring your decimal straight down. 39.68 Caution – make sure if subtraction is not possible you use your regrouping skills to subtract

14. Multiplying Decimals – words to know

15. Multiplying Decimals

16. Example What is the product of 3.79 × 6.5? Ignore the decimal and multiply as usual Add the partial products

17. Division is used to spread large amounts into smaller groups. Words to know:

18. Estimation with Division Use estimation to find the approximate quotient of 12,330 ÷ 18.

19. Dividing Whole Numbers

20. Division with Models Models can usually make a mathematical problem easier to tackle Different types of Models  Double Bar Model  Line Model  Rectangular Cross Box Model It is up to you which of the fraction models you would like to use.

21. Double Bar Model

22. Line Model

23. Rectangular Cross Box Model

24. Proper Fraction a fraction that describes an amount less than one whole, where the numerator is less than the denominator

25. Improper Fraction a fraction that describes an amount greater than or equal to one whole, where the numerator is greater than or equal to the denominator

26. Mixed Fraction the sum of a whole number and fraction; a mixed number has a whole number part and a fraction part

27. Converting Mixed Fractions

28. Converting Improper Fractions

29. Dividing Mixed Fractions using the Reciprocal Find the quotient of

30. Example

34. Dividing Fractions Drawing models is one way to divide fractions. It can become difficult to draw all those models A standard method you can use to divide fractions requires you to use the reciprocal of the divisor What is a reciprocal?

35. Reciprocal

36. Dividing Fractions using the Reciprocal 1. Rewrite the problem (KSF) Keep the first fraction Switch the sign to multiplication Flip the second fraction 2. Use Cancellation if possible. 3. Multiply numerator times numerator 4. Multiply denominator times denominator 5. Check to see if the final answer is in simplest form

37. 1. Rewrite the problem (KSF) Keep the first fraction Switch the sign to multiplication Flip the second fraction 2. Use Cancellation if possible. 3. Multiply numerator times numerator 4. Multiply denominator times denominator 5. Check to see if the final answer is in simplest form

38. Sum it Up!

39. Sum It Up!

40. Example What is the quotient of 16,800 ÷ 32?

43. Example What is the quotient of 8,587 ÷ 12?

46. Dividing with Decimals

47. Example 147.2 ÷ 3.2 =

49. Sum it Up!

50. You have now had a chance to review all of the great stuff you learned in Module 5! Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Division of Fractions Division of Mixed Fractions Have you completed all assessments in module 1? Have you completed your Module 1 DBA? Now you are ready to move forward and complete your module 1 test. Please make sure you are ready to complete your test before you enter the test session.