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Shortest: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">ShortestShortest: Definition and ExampleTable of ContentsDefinition of Shortest in Mathematics

In mathematics, the term "shortest" refers to an object or entity having the smallest measurement in terms of length, height, or distance compared to others in a given set. This comparative concept is fundamental when working with measurements and helps establish relationships between different objects based on their spatial dimensions. "Shortest" represents the superlative form of "short" and indicates the absolute minimum length in a comparison group.

The concept of "shortest" can be applied across various contexts in mathematics. Primarily, it's used when comparing physical measurements such as lengths of lines, heights of objects, or distances between points. However, the term can also extend to more abstract applications, such as describing the minimum time duration or the most efficient path in optimization problems. When solving problems involving the concept of "shortest," we typically look for the minimum value when comparing multiple measurements.

Examples of Finding the Shortest Measurement Example 1: Finding the Shortest Pencil Problem:

Compare the lengths of three pencils measuring 12 cm, 9 cm, and 14 cm. Which pencil is the shortest?

Step-by-step solution: Step 1, Identify what we're comparing: the lengths of three different pencils. Step 2, List all the measurements in order to compare them: Pencil 1: 12 cm Pencil 2: 9 cm Pencil 3: 14 cm Step 3, Compare the values to find the smallest length. 9 cm is less than 12 cm 9 cm is less than 14 cm Step 4, Therefore, Pencil 2 with a length of 9 cm is the shortest pencil among the three. Example 2: Determining the Shortest Student Problem:

In a class of four students, Alex is 145 cm tall, Bella is 138 cm tall, Carlos is 152 cm tall, and Dina is 140 cm tall. Who is the shortest student in the class?

Step-by-step solution: Step 1, Organize the height measurements of all students: Alex: 145 cm Bella: 138 cm Carlos: 152 cm Dina: 140 cm Step 2, To find the shortest, we need to identify the minimum value in this set. Step 3, Compare the heights systematically: Bella (138 cm) is shorter than Alex (145 cm) Bella (138 cm) is shorter than Carlos (152 cm) Bella (138 cm) is shorter than Dina (140 cm) Step 4, Therefore, Bella with a height of 138 cm is the shortest student in the class. Example 3: Calculating the Shortest Path in a Coordinate System Problem:

Find the shortest path from point A to point B in a coordinate system where direct diagonal movement is not allowed. Point A is at coordinates (1,1) and point B is at coordinates (4,3).

Calculating the Shortest Path in a Coordinate System

Step-by-step solution: Step 1, Understand that the shortest path in a coordinate system without diagonal movement is measured by the total number of horizontal and vertical steps needed. Step 2, Calculate the horizontal distance: Horizontal distance = |4 - 1| = 3 units Step 3, Calculate the vertical distance: Vertical distance = |3 - 1| = 2 units Step 4, Add these values to find the total minimum distance: Shortest path length = 3 + 2 = 5 units Step 5, Finally, the shortest path from point A to point B requires 5 movement units (3 horizontal and 2 vertical steps in any sequence). Comments(5)NNatureLover89September 17, 2025I’ve been using this page to help my kids understand the concept of 'shortest' in math problems, and the examples made it so easy for them to grasp. Great resource!

NNatureLover82September 10, 2025I’ve been using the ‘shortest’ definition and examples from EDU.COM to help my kids with math problems, and it’s been super helpful! The clear steps make it easy for them to understand and solve questions.

MCMs. CarterAugust 27, 2025I’ve been using this glossary to help my kids grasp math concepts, and the 'Shortest' definition was super clear! The examples made it easy for them to understand. Great resource!

MCMs. CarterAugust 20, 2025I’ve used the 'shortest' definition from this page to help my kids understand math problems better. The examples are super clear, and they made learning fun and easy for them!

LLearningWithLilyJuly 30, 2025I’ve been using this definition to help my kids understand comparison in measurements. The examples made it super easy for them to grasp the concept! Great resource.

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