Everyday mathematics Grade 4 Lesson 4.1 Decimal Place Value Objective: To extend the base-ten place-value system to decimals.

 Which digit is in the thousands place?  How much is that digit worth?  Which digit is in the ten-thousands place?  How much is that digit worth?  Which digit is in the millions place?  How much is that digit worth? 5,972,681

 Lesson 4.1 – Page 78  Place Value number lines  Fill in the missing numbers on the number lines (yes, all 4 of them!)  You may discuss with a partner (quietly!) if you need help. Workbook page 78

 This is a place value chart. It will help us remember the values and places of numbers we are given.  Lets begin with 5,709. Where would you place that number?  The 5 is in the thousands place. The 7 is in the hundreds place. There is nothing in the tens place, and there is a 9 in the ones place. Find page 107 for Lesson 4.1

 On your place value chart – each place has a value that is 10 times the value of the place to its right is ten times is 10 times 10.  OR… (to see it from the other way!) Each place value is 1/10 th the value of the place on it’s left! 10 is 1/10 th the value of 100, 100 is 1/10 th the value of 1000, and so on. Check point

 Start with the number Now divide by 10.  What did you get?  Divide by 10 again.  What did you get now?  Divide by 10 again. (you should have the number 1).  What would happen if you were to divide by 10 again? Try this on a calculator

.1 for the TENTHS place.  And if you divided by 10 again? .01 for the HUNDREDTHS PLACE.  And again? .001 for the THOUSANDTHS place. What did you guess would happen?

 Note the difference in the spellings of the place values to the right and to the left of the decimal point.  How do the hundreds and hundredths places differ?  What about the thousands and the thousandths place?  You are right! The addition of the –ths helps us not to confuse whole numbers with the pieces. How are the values different?

 Write the number on your place value chart.  Where does each digit go?  Why is the decimal point necessary?  What values do each digit hold?  With a partner, create 3 other numbers that include both whole and decimal parts (such as 7.386) and write them in the correct places on your place value chart. Back to page 107

 In your math workbooks – complete the math boxes for (page 79) if you have not done so already. Independent activity

 Homework for this activity is page 108. Place- Value Puzzles lesson 4.1 Homework

 For further practice and extended learning on this topic, create (you MAY work with a partner if you wish) some place value puzzles (similar to the ones in the homework) for your classmates to solve.  Try to use multiplication and division facts in your clues. Enrichment

 If you’d like a little more, try page 109 – Money and Decimals.  Can you use your knowledge of place value to figure out the bills and coin combinations? A little more