Topic 1 Flashcard Review (Real Numbers)

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Front

How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, let x equal the decimal, multiply by a power of 10 to shift the decimal point, and then subtract the original equation from this new equation.

Front

What is the volume of a cube if each side is 4 cm?

Back

The volume of a cube is calculated as side^3. Therefore, the volume is 4^3 = 64 cubic centimeters.

Front

What is the area of one face of a cube with a volume of 64 cm³?

Back

The area of one face of the cube is 16 cm², since the side length is 4 cm (4 x 4 = 16).

Front

What are irrational numbers?

Back

Irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.

Front

What is the square root of 40 approximately between which two integers?

Back

The square root of 40 is approximately between 6 and 7.

Front

What is the equivalent fraction of the repeating decimal 0.1666...?

Back

The equivalent fraction of 0.1666... is 1/6.

Front

How do you simplify the fraction 111/99?

Back

To simplify 111/99, divide both the numerator and denominator by their greatest common divisor, which is 3, resulting in 37/33.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot.