Represent decimals to hundredths less than one, understanding the equivalence of some number of tenths and 10 times as many hundredths. Convert between fraction, decimal, and unit form.
Base ten blocks — 10 one cubes, 10 ten rods, 10 hundred flats, 1 thousand cube (optional)
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“There are several ways to read decimals aloud. For example, 0.15 can be read as “1 tenth and 5 hundredths” or “15 hundredths,” just as 1,500 is sometimes read “15 hundred” or “1 thousand, 5 hundred” (NF Progression, p. 15). In your own language use, opt for the former way of saying a decimal, since this is more common and because reading each place value separately will become cumbersome (e.g., “4.583” would be read as “four and 5 tenths 8 hundredths 3 thousandths” rather than ‘four and 583 thousandths”). While “mathematicians and scientists often read 0.15 aloud as ‘zero point one five’ or ‘point one five,’” refrain from using this language until you are sure students have a strong sense of place value with decimals (NF Progression, p. 15).
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a. Below is an area model that represents 1 one. It is partitioned into tenths. How would you partition it further to represent hundredths?
b. Use the area model above to represent 7 hundredths. Then represent 7 hundredths in fraction and decimal form.
Fraction Equivalence, accessed on May 29, 2018, 11:07 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.Jani and Kai are representing a decimal number. Here are the number lines they drew:
Jani | |
Kai |
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a. Model 53 hundredths on the area model below.
b. What is 53 hundredths written as a decimal?
a. Plot the point $${{{76\over100}}}$$ on the number line below. Make sure to label the endpoints.
b. What is $${{{76\over100}}}$$ written as a decimal?
Damien says 0.78 is equivalent to 78 hundredths. Kelly says 0.78 is equivalent to 7 tenths and 8 hundredths. Who is right? Explain how you know.
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