MRWC Ch. 3 Review

Front

What is a rational number?

Back

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

Front

Is √64 a rational number?

Back

Yes, √64 = 8, which is a rational number.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (0, 2) and (3, 1)?

Back

The distance is √10.

Front

What is the product of two irrational numbers?

Back

The product of two irrational numbers is sometimes rational.

Front

Give an example of two irrational numbers whose product is rational.

Back

An example is √2 and √2, since √2 * √2 = 2, which is rational.

Front

What is the value of x if x = √2?

Back

x is approximately 1.414.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you find the distance between points using the Pythagorean Theorem?

Back

You can use the Pythagorean Theorem to find the distance between points by treating the difference in x-coordinates and y-coordinates as the two legs of a right triangle.

Front

What is √52 simplified?

Back

√52 can be simplified to 2√13.