Real Numbers, Scientific Notation, Pythagorean Theorem Review

Front

What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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What is an irrational number?

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An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

How do you determine if a number is rational or irrational?

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A number is rational if it can be expressed as a fraction (e.g., 1/2, 3, -4). A number is irrational if it cannot be expressed as a fraction (e.g., √2, π).

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

Convert 0.00056 to scientific notation.

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0.00056 = 5.6 x 10^-4.

Front

What is the Pythagorean Theorem?

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Front

If one side of a right triangle is 5 and the other side is 12, what is the length of the hypotenuse?

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Front

What is the distance formula derived from the Pythagorean Theorem?

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Front

How do you simplify the square root of a number?

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