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Why Is the Square Root of Pi an Irrational Number?

square root of pi: Symbol and value of pi against a galaxy background

Have you ever been asked what the square root of pi is? Disclaimer: The quick answer is that there is no precise answer! Because all square roots of irrational numbers are irrational numbers, the square root of pi is also an irrational number. However, that doesn't mean we can't approximate the answer. Just like we approximate the value of pi to be 3.14, we can approximate the square root of pi to be 1.77.

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Greatest Common Factor Definition: What You Need to Know

greatest common factor definition: Numbers written using a brush

The greatest common factor (GCF) is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor (GCD) or highest common factor (HCF). A factor is a smaller number that can divide evenly into that number. Let’s look at the greatest common factor definition.

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How Do You Find the Area of a Quarter Circle?

area of a quarter circle: Image of a blue circle with a quarter of it separated and colored red

Finding the perimeter and area of a quarter circle is a good exercise in working with the two circle formulas you should be aware of: the formulas for the perimeter and area. Let's review these two formulas:

Circumference = 2ℼr

Area = ℼr²

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What You Need to Know About Proportional Relationships

Graph of a proportional relationship

A proportional relationship, sometimes known as the constant of proportionality, relates two quantities according to a common ratio. In other words, the same proportion!

If you are in seventh grade and looking to review common core state standards (CCSS), you will need to be familiar with this term. Not only will you see it in school, but you'll find it has many real-world applications. Let's dive in!

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What Do Consecutive Integers Represent In Math Problems?

consecutive integers: Colorful number blocks

What do consecutive integers mean, and how do you approach consecutive integer problems? Well, consecutive simply means "in a row." So, the term consecutive integers just means "numbers in a row."

1, 2, 3, 4, 5 are a series of five consecutive integers.

1, 3, 5, 7 are a series of consecutive odd integers.

-12, -11, -10, -9, -8 are a consecutive series of negative integers.

And so on!

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