Common Core 4th Grade Math Lesson 4 Homework 4 3 Answer Key

Common Core 4th Grade Math Lesson 4 Homework 4 3 Answer Key Common Core 4th Grade Math Lesson 443 Homework Answer Key Mastering Fractions and Decimals This article provides a comprehensive answer key to the homework assignment for Lesson 443 in a 4thgrade Common Core math curriculum This lesson focuses on a fundamental aspect of math understanding the relationship between fractions and decimals By working through these problems students strengthen their ability to represent fractions as decimals and vice versa laying a solid foundation for future mathematical concepts Lesson Objectives Students will be able to convert fractions to decimals and decimals to fractions Students will be able to identify equivalent fractions and decimals Students will be able to solve word problems involving fractions and decimals Homework Problems and Solutions Problem 1 Directions Write the following fractions as decimals a 12 b 34 c 110 d 35 Solutions a 12 05 b 34 075 c 110 01 d 35 06 Explanation To convert a fraction to a decimal divide the numerator by the denominator For example in 2 problem a 1 divided by 2 equals 05 Problem 2 Directions Write the following decimals as fractions in simplest form a 025 b 06 c 08 d 033 Solutions a 025 14 b 06 35 c 08 45 d 033 33100 Explanation To convert a decimal to a fraction consider the place value of the last digit For example in problem a the last digit 5 is in the hundredths place so the fraction is 25100 This fraction can be simplified by dividing both numerator and denominator by their greatest common factor 25 resulting in 14 Problem 3 Directions Write the equivalent decimal for each fraction Then circle the fractions that are equivalent a 14 b 28 c 36 d 510 Solutions a 14 025 b 28 025 c 36 05 d 510 05 Circle a 14 and b 28 c 36 and d 510 Explanation Equivalent fractions represent the same portion of a whole In this problem 14 and 28 are equivalent because they both represent the same value 025 Similarly 36 and 510 are 3 equivalent both representing 05 Problem 4 Directions Solve the following word problems a Sarah ate 14 of her pizza What decimal represents the portion of pizza she ate b David ran 075 miles What fraction of a mile did he run Solutions a 14 025 Sarah ate 025 of her pizza b 075 34 David ran 34 of a mile Explanation These word problems require students to apply their understanding of converting between fractions and decimals in reallife scenarios Problem 5 Directions Circle the larger number in each pair a 12 or 06 b 075 or 23 c 13 or 03 Solutions a 06 is larger than 12 b 075 is larger than 23 c 03 is larger than 13 Explanation This problem encourages students to compare fractions and decimals directly To make the comparison easier they can convert the fractions to decimals or vice versa Conclusion This homework assignment reinforces the key concepts covered in Lesson 443 focusing on the relationship between fractions and decimals By successfully completing these problems students demonstrate their understanding of this fundamental mathematical relationship and lay a strong foundation for future learning in math 4 Additional Tips for Parents and Teachers Encourage students to use visual aids like fraction bars or number lines to help them visualize the relationships between fractions and decimals Provide students with opportunities to practice converting between fractions and decimals in various contexts including reallife situations Emphasize the importance of understanding the concepts rather than simply memorizing formulas Remember mastering the connection between fractions and decimals is a crucial step in building a solid foundation for future mathematical success