Lesson 1: Practice 1 Solutions

Simplify the fractions below. Then convert each fraction to a decimal.

	Simplified Fraction	Decimal
$\frac{16}{40}$		0.40

		0.20
		0.60
		3.0

List each vocabulary word beside its description.

Real Numbers

Whole Numbers

Rational Numbers

Natural Numbers

Integers

Irrational Numbers

Irrational Numbers

Decimals that do not repeat or terminate.

Real Numbers

All existing numbers, not fictional numbers or terms.

Natural Numbers

Positive whole numbers, starting with 1, that are used in counting.

Integers

Positive and negative numbers, as well as fractions that simplify to a positive or negative number.

Whole Numbers

Positive numbers beginning with 0.

Rational Numbers

Positive and negative numbers, including fractions that simplify to terminating or repeating decimals.

Complete the table below by coloring in or marking each category the number fits into.

	Irrational Number	Real Number	Rational Number	Integer	Whole Number	Natural Number
		X	X	X
0.93103448275…	X	X
3.910472…	X	X
		X	X

Construct a number line and plot each of the values below.

$- 7, \frac{- 31}{4}, - 7.25, - 8$

Is the value rational or irrational? Provide evidence to support your answer.

$\frac{27}{9}$

The value is a rational number because irrational numbers can not be recorded as fractions. To further prove that the value is rational, simplify the fraction to a whole number.

Proof: