Solve division word problems with remainders.
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$$ 84 \times 10 = 8\space \mathrm{R} \space 4$$ and $$44 \div 5 = 8 \space \mathrm{R}\space 4$$
Because the two expressions on the right are the same, students should conclude that $$84\times10$$ is equal to $$44\div5$$, but this is not the case. (Because the equal sign is not used appropriately, this usage is a non-example of Standard for Mathematical Practice 6.) Moreover, the notation $$8\space \mathrm{R} \space 4$$ does not indicate a number. Rather than writing the result of division in terms of a whole-number quotient and remainder, the relationship of whole-number quotient and remainder can be written as:
$$ 84 = 8 \times 10 + 4$$ and $$44 = 8\times 5 + 4$$”
(Progressions for the Common Core State Standards in Mathematics, Number and Operations in Base Ten, K-5, p. 16). Thus, you should avoid using the “R” notation immediately following the equal sign.
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There are 13 students to be split among 4 teams. How many students will be on each team?
Grade 4 Mathematics > Module 3 > Topic E > Lesson 14 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.Kristy has 22 roses to sell. She arranges 6 roses in each vase.
Grade 4 Mathematics > Module 3 > Topic E > Lesson 14 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.?
Fifty-three students are going on a field trip. The students are divided into groups of 6 students. How many groups of 6 students will there be? How many remaining children will there be?
Grade 4 Mathematics > Module 3 > Topic E > Lesson 14 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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