Part 1 - OST 8th Grade Math Review

Front

What are Rational Numbers?

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

What is the formula for the volume of a cylinder?

Back

Front

How do you simplify the expression 81^8 using exponents?

Back

81 can be expressed as 9^2, so 81^8 = (9^2)^8 = 9^{16}. However, the correct simplification in the context of the question is 9^8.

Front

What is the value of 5^{-1}?

Back

5^{-1} is equivalent to 1/5.

Front

How do you convert scientific notation 8.7 x 10^{-1} to standard form?

Back

To convert 8.7 x 10^{-1} to standard form, move the decimal point one place to the left, resulting in 0.87.

Front

What is the diameter of a cylinder if the radius is 3.25 meters?

Back

The diameter is twice the radius, so the diameter is 2 * 3.25 = 6.5 meters.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It is a non-repeating, non-terminating decimal. Examples include √2 and π.

Front

What is the relationship between exponents and bases in the expression a^m * a^n?

Back

When multiplying two powers with the same base, you add the exponents: a^m * a^n = a^{m+n}.

Front

What is the formula for converting a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the volume of a cylinder with a radius of 3.25 meters and a height of 12 meters?

Back