Q2 Benchmark Math 24-25 - 8th Grade

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.

Tags

CCSS.5.NBT.A.2

Front

What is an irrational number?

Back

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

Tags

CCSS.8.NS.A.1

Front

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

Back

A number is rational if it can be expressed as a fraction (e.g., 1/2, -3, 0.75). If it cannot be expressed as a fraction, such as √2 or π, it is irrational.

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.

Tags

CCSS.8.G.B.7

Front

What are the properties of right triangles?

Back

In a right triangle, one angle is exactly 90 degrees, and the side opposite this angle is the longest side, known as the hypotenuse.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: if you know the lengths of two sides, you can find the third side by rearranging the formula a² + b² = c².

Tags

CCSS.8.G.B.7

Front

What is standard form in mathematics?

Back

Standard form is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is expressed as a number between 1 and 10 multiplied by a power of 10.

Tags

CCSS.8.EE.A.3

Front

How do you convert a number from scientific notation to standard form?

Back

To convert from scientific notation to standard form, move the decimal point to the right for positive exponents and to the left for negative exponents.

Tags

CCSS.8.EE.A.3

Front

What is an example of a set containing an irrational number?

Back

The set {0.17, √3, 2.555..., √4} contains the irrational number √3.

Front

What is the significance of the number 0 in rational numbers?

Back

Zero is a rational number because it can be expressed as 0/1, which is a fraction.

Tags

CCSS.HSN.RN.B.3