2. You need to: You need to: Clear off your desk except for pencil(s), scratch/notebook paper, and possibly an eraser!Clear off your desk except for pencil(s), scratch/notebook paper, and possibly an eraser! NO CALCULATORS or translators!NO CALCULATORS or translators!

3.  Goal 1 – You should review or learn to read and write decimals.  2,356.12  is read as two thousand, three hundred, fifty-six and twelve hundredths.  In proper usage only the decimal point is read as “and” as we read a number. Reading, Writing and Ordering Decimals

4. Reading and Writing Decimals 2, 3 5 6. 1 2 2, 3 5 6. 1 2 ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 2, 3 5 6. 1 2

5. Reading and Writing Decimals 19.875 19.875 ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 1 9. 8 7 5

6. Reading and Writing Decimals 0.02 0.02 ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 0. 0 2

7. Reading and Writing Decimals 985.0023 985.0023 ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 9 8 5. 0 0 2 3

8. Reading and Writing Decimals ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 1 2 3. 4 5 6 7 What is the place value of the 4 in 123.4567 ? tenths

9. Reading and Writing Decimals ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 3. 5 7 4 6 What is the place value of the 6 in 3.5746 ? ten-thousandths

10. four and twenty-one thousandths four and twenty-one thousandths ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 4. 0 2 1 4.021

11. fourteen and one tenth fourteen and one tenth ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 1 4. 1 14.1

12. Reading and Writing Decimals A) A) 23.01 B) B) 8.4 C) C) 2, 223.014 A) A) 23.01 twenty-three and one hundredth twenty-three and one hundredth B) B) 8.4 eight and four tenths eight and four tenths two thousand, two hundred twenty-three and fourteen thousandths two thousand, two hundred twenty-three and fourteen thousandths

13. Reading and Writing Decimals D) D) 971.0019 nine hundred seventy-one and nineteen ten-thousandths nine hundred seventy-one and nineteen ten-thousandths E) E) thirty-two ten-thousandths 0.0032 0.0032

14. Reading and Writing Decimals ___________________________ ___________________________ ones enTHs tenTHs decimal point THs hundredTHs THs thousandTHs THs ten-thousandTHs hundreds thousands ten-thousands tens 4 5. 9 3 4 F) F) What is the place value of the 3 in 45.934 ? hundredths

15.  Goal 2 – You should learn or review how to compare and order decimals. ä 2 > 1 ä 5 < 7 ä 29 > 28 ä 29 < 29.1 Reading, Writing and Ordering Decimals ä 29.2 > 29.12 ä because ä 0.2 > 0.12 ä because ä 0.20 > 0.12

16. ä Compare place values  15.1215 compare 15.1235 ä 15 = 15 ä 0.1 = 0.1 ä 0.12 = 0.12 ä 0.121 < 0.123 ä therefore ä 15.1215 < 15.1235 Comparing Decimals

17. ä 29.3 > 29.032 ä tenths place ä 0.29 > 0.28 ä hundredths place ä 5.12 < 5.3  tenths place ä 0.029 < 0.03 ä hundredths place Comparing Decimals

18. ä 15.12, 15.1, 15.035 ä Order from least to greatest ä Compare place values ä 15.120, 15.100, 15.035 ä Order from least to greatest ä 15.035, 15.1, 15.12 Ordering Decimals

19. ä 512, 5.12, 51.2 ä Order from least to greatest ä Compare place values ä 512.00, 5.12, 51.20 ä Order from least to greatest ä 5.12, 51.2, 512 Ordering Decimals

20. ä 1.312, 1.31, 1.235 ä Order from greatest to least ä Compare place values ä 1.312, 1.310, 1.235 ä Order from greatest to least ä 1.312, 1.31, 1.235 Ordering Decimals

21. ä Order from least to greatest  A) 7.312, 7.31, 7.235  B) 0.21, 0.3, 0.215  C) 93.1, 931, 9.31  A) 7.235, 7.31, 7.312  B) 0.21, 0.215, 0.3  C) 9.31, 93.1, 931 Comparing and Ordering Decimals

22. ä One ä One important technique in adding and subtracting decimals is rewrite the problem vertically aligning the decimal points.  Goal  Goal 3 –You should review or learn to add decimals. Adding and Subtracting Decimals

23. Adding Decimals Example 1 - Example 1 - 23.01 + 8.4 =..0 23.01 + 8.40 1) Rewrite problem in vertical format aligning decimal point. 2) Annex zeros as desired and/or needed. 4 1 1 3. 3) Add from right to left carrying as needed. 4) Bring down decimal point. 1

24. Adding Decimals Example 2 - Example 2 - 2.01 + 9.4 +.6 + 1 =. 2.01.0 9.40 0.0 0.60 1.00 + 1.00 1) Rewrite problem in vertical format aligning decimal point. 2) Annex zeros as desired and/or needed. 013 1. 3) Add from right to left carrying as needed. 4) Bring down decimal point. 4) Bring down decimal point. 1

25. Adding Decimals  A)  A) 0.685 + 7.3174 = ä  B)  B) 82.29 + 5.8 = ä  C)  C) 82.29 + 5.8 + 7 + 0.5 = ä ä 8.0024 ä 88.09 ä 95.59

26.  Goal  Goal 4 –You should review or learn to subtract decimals. Adding and Subtracting Decimals

27. Subtracting Decimals Example 1 - Example 1 - 23.01 - 8.4 =..0 23.01 - 8.40 1) Rewrite problem in vertical format aligning decimal point. 2) Annex zeros as desired and/or needed. 6 4 2 1. 3) Subtract from right to left borrowing as needed. 4) Bring down decimal point. 1 11 1

28. Subtracting Decimals Example 2 - Example 2 - 1.06 – 0.583 =.0. 1.060 - 0.583 1) Rewrite problem in vertical format aligning decimal point. 2) Annex zeros as desired and/or needed. 7 4 9 0. 3) Subtract from right to left borrowing as needed. 4) Bring down decimal point. 1 0 15 7

29.  A)  A) 12.86 - 2.317 = ä  B)  B) 32.76 - 9.157 = ä  C)  C) 7.3174 - 0.685 =ä Subtracting Decimals ä 10.543 ä 23.603 ä 6.6324

30. 9/20 Class/Homework Decimals Worksheet 1: 1- 6Decimals Worksheet 1: 1- 6 NO Calculator! Show Steps!NO Calculator! Show Steps! Explanation and/or more practice on 672-675 of you Math Textbook. Explanation and/or more practice on 672-675 of you Math Textbook. Remember to study tonight, as needed, for the Mental Math Facts Quiz tomorrow.Remember to study tonight, as needed, for the Mental Math Facts Quiz tomorrow.