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Everyday mathematics Grade 4 Lesson 4.1 Decimal Place Value Objective: To extend the base-ten place-value system to decimals.
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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
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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
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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
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On your place value chart – each place has a value that is 10 times the value of the place to its right. 1000 is ten times 100. 100 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
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Start with the number 1000. 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
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.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?
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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?
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Write the number 7.386 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
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In your math workbooks – complete the math boxes for (page 79) if you have not done so already. Independent activity
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Homework for this activity is page 108. Place- Value Puzzles lesson 4.1 Homework
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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
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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
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