Regroup numbers with more than 9 tenths or 9 hundredths into simplest unit form and vice versa.
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Students have dealt with regrouping decimal units in limited cases in previous lessons, e.g., 6 tenths = 60 hundredths. Today’s lesson extends that work to regrouping to various units, include ones that are not adjacent to the given unit. This serves a few purposes: (1) it helps to reinforce the 10-to-1 relationship in decimal numbers, (2) it helps students understand the value of a zero at the end of a decimal (e.g., 0.6 = 0.60), and (3) it prepares students for addition and subtraction of decimals, where students may need to convert a value in one unit to another unit in order to be able to add or subtract like units.
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A dime is $${{1\over10}}$$ of a dollar and a penny is $${{1\over100}}$$ of a dollar.
Would you rather have 4 one-dollar bills and 1 dime, 42 dimes, or 413 pennies? Justify your answer.
a. Regroup each of the following values in terms of tenths. Then do the same in terms of hundredths.
i. $${2{4\over10}}$$ = ____ tenths = ____ hundredths
ii. 3 ones 5 tenths 7 hundredths = ____ tenths ____ hundredths = ____ hundredths
b. How would you write each of the values in part (a) as decimals?
a. Fill in the blanks to make the following true.
i. 170 hundredths = _____ tenths _____ hundredths = _____ ones _____ tenths _____ hundredths
ii. $${{407\over100}}$$ = _____ tenths _____ hundredths = _____ ones _____ tenths _____ hundredths
b. How would you write each of the values in part (a) as decimals?
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Grade 4 Mathematics > Module 6 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?