Clare is using little wooden cubes with edge length [math]\frac{1}{2}[/math] inch to build a larger cube that has edge length 4 inches. How many little cubes does she need? Explain your reasoning.
The triangle has an area of [math]7\frac{7}{8}[/math]cm[math]^2[/math] and a base of [math]5\frac{1}{4}[/math]cm.[br]What is the length of [math]h[/math]? Explain your reasoning.[br][br][img]data:image/png;base64,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[/img]
Which expression can be used to find how many cubes with edge length of 13 unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning in the applet below.
Mai says that we can also find the answer by multiplying the edge lengths of the prism and then multiplying the result by 27. Do you agree with her? Explain your reasoning.
A builder is building a fence with [math]6\frac{1}{4}[/math]-inch-wide wooden boards, arranged side-by-side with no gaps or overlaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.
[math]2\frac{1}{7}\div\frac{2}{7}[/math]
[math]\frac{17}{20}\div\frac{1}{4}[/math]
Consider the problem: A bucket contains [math]11\frac{2}{3}[/math] gallons of water and is [math]\frac{5}{6}[/math] full. How many gallons of water would be in a full bucket? [br][br]Write a multiplication and a division equation to represent the situation. Then, find the answer and show your reasoning.
There are 80 kids in a gym. 75% are wearing socks. How many are [i]not[/i] wearing socks? If you get stuck, consider using a tape diagram.
Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?
Noah wants to save $60 so that he can purchase a concert ticket. If he has saved $45 so far, what percentage of his goal has he saved? What percentage remains?