Represent decimals to hundredths more than one. Convert between fraction, decimal, unit, and fraction and decimal expanded form.
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When saying a number in word form, make sure to only use the word “and” in place of the decimal place and nowhere else. For example, 217.35 is read “two hundred seventeen and thirty-five hundredths,” not “two hundred and seventeen and thirty-five hundredths.” Also recall from Lesson 4 that “there are several ways to read decimals aloud, but even though ‘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).
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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Complete the following table. Draw models for each row if they will help you.
Unit Form | Fraction Form | Fraction Expanded Form | Decimal Expanded Form | Decimal Form |
$$1\times1+5\times0.1+7\times0.01$$ |
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$$(5\times 1)+\left(0 \times \frac{1}{10} \right) + \left(3\times\frac{1}{100}\right)$$ |
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$$98.30$$ |
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$$623 \frac{46}{100}$$ |
Grade 6 Unit 5 Lesson 2 Teacher Version is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed June 1, 2018, 2:08 p.m..
Modified by The Match Foundation, Inc.Use the following numbers to answer each of the following questions:
a. 1.57
b. 5.03
c. 98.30
d. 623.46
1. What is the value of the digit 1 in (a)? The digit 5?
2. What is the value of the digit 3 in (b), (c), and (d) above? How are those values related to one another?
3. What is the value of the digit in the hundreds place in (c)? What is the value of the digit in the hundredths place in (c)? How are these similar? How are they different?
Progressions for the Common Core State Standards in Mathematics (Numbers and Operations - Fractions, 3-5), by the Common Core Standards Writing Team is made available by Institute for Mathematics and Education, University of Arizona. © 2007 The Arizona Board of Regents. All contents copyrighted. All rights reserved. Accessed April 16, 2018, 11:23 a.m.. For updates and more information about the Progressions, see http://ime.math.arizona.edu/progressions.
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Fill in the blanks below to make each statement true about the number below.
827.64
a. The digit _____ is in the hundreds place. It has a value of ________.
b. The digit _____ is in the tens place. It has a value of ________.
c. The digit _____ is in the tenths place. It has a value of ________.
d. The digit _____ is in the hundredths place. It has a value of ________.
Grade 4 Mathematics > Module 6 > Topic B > Lesson 7 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.Complete the following chart.
Grade 4 Mathematics > Module 6 > Topic B > Lesson 7 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.?
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