Rational and Irrational Numbers

Rational and Irrational Numbers

Rational Numbers

• A rational number is a number that can be written as a fraction. This includes:

• Whole numbers: 2, 4, 100.  It can also be negative integers such as -2, -4, and -100

• Fractions: 1/2, 3/4

• Decimals that end: 2.5, -0.5

• Decimals that go on with a repeating pattern: 0.3333...., 1.41414141

• Square Roots that we know the exact value.  $\sqrt{49}$  ,  $\sqrt{25}$  

Irrational Numbers

• An irrational number is a number that CAN NOT be written as a fraction. This includes:

• Decimals that go on without a repeating pattern: 3.14807538921.

• Square roots that we do not know the exact value for:  $\sqrt{3}$  ,  $\sqrt{5}$  

Rational and Irrational Numbers are both considered REAL NUMBERS

Multiple Select

Which of the following is a rational number?

•  $\frac{5}{6}$  

•  $\sqrt{68}$  

• 1.1462543

•  $\sqrt{100}$  

Multiple Choice

Which of the following is an irrational number?

• 0.3

• $\sqrt{49}$

• $\sqrt{8}$

• $\frac{5}{22}$

Multiple Choice

Is $\sqrt{25}$   rational or irrational?

• Rational

• Irrational

Multiple Choice

What type of number is a fraction?

• Rational

• Irrational

Multiple Choice

The decimal, 0.12568934, is:

• Rational

• Irrational

Different Types of Rational Numbers

• Natural, Whole, Integer

• A natural number is a counting number. It starts from 1 (1,2,3,4,5.........)

• A whole number: A counting number or zero. (0, 1, 2, 3, 4......)

• An integer is a whole number or its negative. ( ...... -3, -2, -1, 0, 1, 2, 3.....)

• A rational number can be more than one. For example the number 3 would be a natural number, whole number, and an integer. Meanwhile the number -3 would only be an integer.

Open Ended

The number 0 would be what kind of rational number? (Natural, whole, integer)

Multiple Choice

The number -1.12536789 is what type of number

• Rational

• Whole

• Integer

• Natural

• Irrational

Multiple Choice

Classify the rational number: The number 7 is:

• Natural

• Whole

• Integer

• All the above