Section C Section C Checkpoint

Problem 1

A rectangular wall that is 8 feet tall is covered with 296 square feet of wallpaper.

How many feet long is the wall? Explain or show your reasoning. Use a diagram if it is helpful.

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Solution

37 feet. Sample responses:

$80 + 80 + 80 + 56 = 296$ and $10 + 10 + 10 + 7 = 37$

$\begin{align} 240\div 8&= 30\\ 56\div 8 &= \phantom{0}7\\ \overline {\hspace{5mm}296 \div 8} &\overline{\hspace{1mm}= 37 \phantom{000}}\end{align}$

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Sample Response

37 feet. Sample responses:

$80 + 80 + 80 + 56 = 296$ and $10 + 10 + 10 + 7 = 37$

$\begin{align} 240\div 8&= 30\\ 56\div 8 &= \phantom{0}7\\ \overline {\hspace{5mm}296 \div 8} &\overline{\hspace{1mm}= 37 \phantom{000}}\end{align}$

Problem 2

Find the value of $1,925 \div 7$ using an algorithm that uses partial quotients.

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Solution

275. Sample response:

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Sample Response

275. Sample response:

Problem 3

Mai is putting together a photo album. She has 229 photos. Each page can hold 9 photos. How many pages of the photo album does Mai need for all the photos? Explain or show your reasoning.

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Solution

26 pages. Sample response: 229 divided by 9 gives 25 with a remainder of 4. This means that 25 pages will be full and there will be 1 page with only 4 photos.

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Sample Response

26 pages. Sample response: 229 divided by 9 gives 25 with a remainder of 4. This means that 25 pages will be full and there will be 1 page with only 4 photos.