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.

Word Bank

Real Numbers
Whole Numbers
Rational Numbers
Natural Numbers
Integers
Irrational Numbers

Decimals that do not repeat or terminate. Irrational numbers
All existing numbers, not fictional numbers or terms. Real numbers
Positive whole numbers, starting with 1, that are used in counting. Natural numbers
Positive and negative whole numbers, as well as fractions that simplify to a positive or negative whole number. Integers
Positive numbers beginning with 0. Whole numbers
Positive and negative numbers, including fractions that simplify to terminating or repeating decimals. Rational numbers

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

	Irrational Numbers	Real Numbers	Rational Numbers	Integer	Whole Numbers	Natural Numbers
		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: