Irrational Numbers

Irrational Numbers

BK Math 8 Pod (Week 7)

Vocab Time

Multiple Choice

a decimal that has a finite number of decimals; it does not repeat

• rational number

• terminating decimal

• repeating decimal

• irrational number

Multiple Choice

a decimal which has repeating digits or a repeating pattern of digits

• terminating decimal

• irrational number

• repeating decimal

• rational number

Multiple Choice

a number that is made by squaring a whole number

• non perfect square

• perfect square

• rational number

• terminating decimal

• Perfect squares are rational numbers.

• Non perfect squares are irrational numbers.

Multiple Select

Check all the numbers that represent perfect squares

• 12

• 25

• 19

• 36

• 81

Multiple Choice

a number that can be expressed as a ratio of two integers

• rational number

• irrational number

• terminating decimal

• repeating decimal

Facts about Rational Numbers

• can be a whole number

• can be a fraction

• can be an integer

• can be a ratio

• can be a repeating decimal

• can be a terminating decimal

• can be a perfect square

Multiple Select

Which numbers are rational numbers?

• 7

• $\sqrt{64}$

• 0.5

• $\sqrt{5}$

• $\sqrt{50}$

Multiple Choice

a number that cannot be written in the form of

 $\frac{a}{b}$  where a and b are integers and  $b\ne0$  

• decimal 

• perfect square

• rational number

• irrational number

Facts about Irrational Numbers

• cannot be written as a fraction or ratio

• non terminating decimal

• non repeating decimal

• non perfect squares

Multiple Select

Which numbers are irrational?

• $\sqrt{100}$

• $\pi$

• $\sqrt{4}$

• $\sqrt{10}$

• $\sqrt{9}$

Estimating Irrational Numbers (Non Perfect Squares)

• Step 1: Find the two perfect squares that the irrational number fall between

• Step 2: Find the value of the square rot of the perfect squares

Estimate the value of

 $\sqrt{2}$  

Practice 

Multiple Choice

 $\sqrt{15}$  

Which perfect squares does the above non perfect square fall between? 

• 9 and 16

• 13 and 14

• 16 and 25

Multiple Choice

 $\sqrt{15}$  

Estimate the value.

• The value would fall between 13 and 14

• The value would fall between 4 and 5

• The value would fall between 3 and 4 

Multiple Choice

 $\sqrt{34}$  

Which perfect squares would the non perfect square fall between? 

• 25 and 36

• 33 and 34

• 36 and 49

Multiple Choice

 $\sqrt{34}$  

Estimate the value.

• The value would fall between 33 and 35

• The value would fall between 5 and 6

• The value would fall between 6 and 7