Hours are a unit of measurement used to quantify time. There are 24 hours in a day, and each hour is divided into 60 minutes. Understanding how to work with hours is an important skill in everyday life and in various fields such as math, science, and engineering.

To convert hours to minutes, you can use the following formula:

Minutes = Hours × 60

For example, if you have 3 hours, you can calculate the equivalent number of minutes by multiplying 3 by 60, which equals 180 minutes.

To convert minutes to hours, you can use the following formula:

Hours = Minutes ÷ 60

For instance, if you have 240 minutes, you can determine the equivalent number of hours by dividing 240 by 60, which equals 4 hours.

When adding or subtracting hours, it's important to keep track of the total number of hours. For instance, if you need to add 3 hours and 45 minutes to 4 hours and 30 minutes, you would add the hours separately from the minutes. The result would be 7 hours and 75 minutes, but since 75 minutes is more than an hour, you can convert it to 1 hour and 15 minutes to get the final answer of 8 hours and 15 minutes.

Here are some practice problems to help you master the concept of hours:

- Convert 2 hours to minutes.
- Convert 180 minutes to hours.
- What is the result of adding 4 hours and 45 minutes to 5 hours and 30 minutes?
- If a movie is 2 hours and 15 minutes long, how many minutes is that?

Remember to apply the formulas and methods described above to solve these problems. Practice regularly to develop fluency in working with hours.

Good luck with your studies!

Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

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Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.