Lesson 11
Dividing Numbers that Result in Decimals
Problem 1
Use long division to show that the fraction and decimal in each pair are equal.
\(\frac{3}{4}\) and 0.75
\(\frac{3}{50}\) and 0.06
\(\frac{7}{25}\) and 0.28
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Mai walked \(\frac{1}{8}\) of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
Use long division to find each quotient. Write your answer as a decimal.
-
\(99\div 12\)
-
\(216 \div 5\)
-
\(1,\!988 \div 8\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Tyler reasoned: “\(\frac{9}{25}\) is equivalent to \(\frac{18}{50}\) and to \(\frac {36}{100}\), so the decimal of \(\frac{9}{25}\) is 0.36.”
-
Use long division to show that Tyler is correct.
-
Is the decimal of \(\frac{18}{50}\) also 0.36? Use long division to support your answer.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
Complete the calculations so that each shows the correct difference.
![3 fill in the blank subtraction problems.](https://cms-im.s3.amazonaws.com/rR8TpcTK6aCnFswbAjLRrZZt?response-content-disposition=inline%3B%20filename%3D%226-6.5.PP.Image.29.png%22%3B%20filename%2A%3DUTF-8%27%276-6.5.PP.Image.29.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T143156Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=6e7e179bde4d405b020e1c9dc86baabd7f2511322954a1feb5ceaa7656fa09f6)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 4.)Problem 6
Use the equation \(124 \boldcdot 15 = 1,\!860\) and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute \((1.24) \boldcdot (0.15)\).
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 6.)